Answer:
Step-by-step explanation:
We know that the sine of an angle is negative in the third and fourth quadrants. So, since β is in the third quadrant (pi < β < (3pi/2)), we know that sin(β) is negative.
Given sin(β) = -√(3)/2, we can use the half-angle formulas for sine to find sin(β/2):
sin(β/2) = ±√[(1 - cos(β))/2]
Since β is in the third quadrant, we know that cos(β) is negative. We can use the Pythagorean identity to find cos(β):
cos²(β) + sin²(β) = 1
cos²(β) = 1 - sin²(β)
cos(β) = -√(1 - sin²(β))
cos(β) = -√(1 - (3/4))
cos(β) = -√(1/4)
cos(β) = -1/2
Now we can substitute cos(β) into the half-angle formula for sine:
sin(β/2) = ±√[(1 - cos(β))/2]
sin(β/2) = ±√[(1 - (-1/2))/2]
sin(β/2) = ±√(3/4)
sin(β/2) = ±(√3/2)
Since β is in the third quadrant, we know that cos(β/2) is negative. So we can use the half-angle formula for cosine to find cos(β/2):
cos(β/2) = ±√[(1 + cos(β))/2]
cos(β/2) = ±√[(1 - 1/2)/2]
cos(β/2) = ±√(1/4)
cos(β/2) = ±(1/2)
Since β is in the third quadrant, we know that cot(β/2) is negative. We can use the half-angle formulas for cosine and tangent to find cot(β/2):
cos(β/2) = ±√[(1 + cos(β))/2]
cos(β/2) = ±√[(1 - 1/2)/2]
cos(β/2) = ±√(1/4)
cos(β/2) = ±(1/2)
cot(β/2) = cos(β/2) / sin(β/2)
cot(β/2) = (±1/2) / (±(√3/2))
cot(β/2) = ±(1/√3)
cot(β/2) = ±(√3/3)
Therefore, cos(β/2) is either -1/2 or 1/2, and cot(β/2) is either -√3/3 or √3/3, depending on the choice of sign for the square roots.
answer: cos(β/2) = 1/2 and cot(β/2) = -sqrt(3,
Given sin()=-((3)/2, we can use the Pythagorean identity to calculate the value of cos():
cos(β) sqrt(1 - sin2()) sqrt(1 - sqrt(3)/2) = square (1 - 3/4) Equals square (1/4) = square 1/2
We know that is in the third quadrant, where cosine is negative, since pi (3pi/2). As a result, we have:
cos(β) = -1/2
Now we can calculate cos(/2) and cot(/2) using the half-angle formulas:
sqrt((1 + cos())/2) = cos(/2) = ±sqrt((1 - 1/2)/2) = ±sqrt(1/4) = ±1/2
We know that /2 is in the fourth quadrant, where tangent is negative, because is in the third quadrant. As a result, we have:
Tan(1/2) = -1/tan(1/2) = -1/sqrt((1 + cos())/1 - cos()) = -1/sqrt((1 - 1/2)/(1 + 1/2)) = -1/sqrt(1/3) = -sqrt (3)
The answers are therefore cos(/2) = 1/2 and cot(/2) = -sqrt (3). Nonetheless, we must establish the sign of cos(/2). We can exploit the fact that sine is negative in the third quadrant, where is located, to accomplish this. As a result, we have:
Sin(/2) is equal to sqrt((1 - cos())/2). = -sqrt((1 + 1/2)/2) = squared(3/4) = squared(3)/2
Given that cosine is positive and /2 is in the fourth quadrant, we have:
sqrt(1 - sin2(/2)) = cos(/2) 1/2 = sqrt(1 - 3/4) = sqrt(1/4)
Therefore, the solutions are cos(β/2) = 1/2 and cot(β/2) = -sqrt(3,
If you roll a standard number cube 48 times, how many times do you expect the cube to show a two?
We expect the cube to show a two 8 times out of 48 rolls.
Six faces, numbered from 1 to 6, make up a typical number cube. When the cube is rolled, there is an equal chance that every face will show up. As a result, there is a 1/6 chance that the cube will roll a two on any given roll.
We can use the calculation for the anticipated value of a discrete random variable to get the expected number of times the cube will reveal a two in 48 rolls:
E(X) = np
where n is the number of trials (in this example, 48 rolls), p is the probability of success on each trial (in this case, 1/6), and X is the random variable (in this case, the number of times the cube reveals a two).
When we change the values, we obtain:
E(X) = 48 * (1/6) = 8
Hence, we anticipate that the cube will display a two 8 times out of every 48 rolls.
To know more about Cube visit:
https://brainly.com/question/28134860
#SPJ9
Which expression is equivalent to x + 8 + 4x + 2x for all values of x?
The expression which is equivalent to the given expression for all values of x is; 7x + 8.
Which expression accurately represents the equivalent of x + 8 + 4x + 2x?As evident from the task content; the given expression whose equivalent is required to be determined is; x + 8 + 4x + 2x.
Therefore, by collecting like terms; we have that;
x + 4x + 2x + 8
By adding like terms; we have;
7x + 8.
Ultimately, the expression which is equivalent to the given expression is; 7x + 8.
Read more on equivalent expressions;
https://brainly.com/question/15775046
#SPJ1
If the graph below is in meters, find the area of the shaded figure.
The area of the shaded part is 20m²
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a rectangle is length × width It is measured in square units like cm² and m².
To find the area of the square, we need to find the side length.
The side length is found by using Pythagoras theorem
each box is 1m, then 4 boxes is 4m and 2 boxes is 2m
therefore;
l= √ 4²+2²
l = √ 16+4
l = √20 = 2√5
area a square is l²
A = (2√5)²
A = 4× 5
A = 20m²
therefore the area of the shaded part is 20m²
learn more about area from
https://brainly.com/question/25292087
#SPJ1
True or false: If a and x are positive numbers and a ≠ 1, then log a x r = r log a x for any real number r.
The statement " If a and x are positive numbers and a ≠ 1, then[tex]log_a(x^r) = r * log_a(x)[/tex] for any real number r" is true .
Why is the above statement true?To prove the equation, we can start with the definition of logarithms:
[tex]log_a(x) = y[/tex] if and only if [tex]a^y = x[/tex]
Using this definition, we can rewrite both sides of the equation as exponents:
[tex]log_a(x^r) = y[/tex] if and only if [tex]a^y = x^r[/tex]
[tex]r * log_a(x) = y[/tex] if and only [tex]a^y = x^r[/tex]
Since [tex]a^y = x^r[/tex] in both case, we have:
[tex]log_a(x^r) = r * log_a(x)[/tex]
Therefore, the equation [tex]log_a(x^r) = r * log_a(x)[/tex] holds for any positive numbers a and x (where a ≠ 1) and any real number r.
Learn about logarithms here https://brainly.com/question/12049968
#SPJ1
I will mark you brainiest!
All the names for the polygon are correct EXCEPT for :
A) ABCDEFG
B) DEFGABC
C) GDFEABC
D) EDCBAGF
All the names for the polygon are correct except for: C) GDFEABC.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and finite number of sides. Additionally, some examples of a polygon include the following:
TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonDecagonGenerally speaking, the vertices of a regular polygon should be named in consecutive order either clockwise or anticlockwise (counterclockwise).
In conclusion, GDFEABC is an incorrect name for the given regular polygon.
Read more on regular polygon here: brainly.com/question/20911145
#SPJ1
Find the Error A classmate found the height of the prism shown using the following method. Complete the following statement to find the error and correct it.
h=1.5(1.2)(2.5)
=4.5 cm
The classmate switched the , 1 of 1.
Select Choice
measurement and h
in the formula.
Part B
Which of the following is the correct value for height?
Multiple choice question.
A)
0.5 cm
B)
2.5 cm
C)
3 cm
D)
4.5 cm
Therefore , the solution of the given problem of volume comes out to be 1.5 centimetres is the appropriate height measurement option A.
Explain volume.The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Two instances of cubic units are the numbers cm3 and in3. However, an object's bulk can be used to determine its dimensions. Typically, an object's weight is transformed into mass units like kilogrammes and kilos.
Here,
The technique used by the classmate made a mistake by rearranging the measurements in the formula. The right equation to use to determine a rectangle prism's volume is:
=> V = lwh
where the prism's length, breadth, and height are indicated by l, w, and h, respectively.
The colleague in this instance applied the formula:
=> h = 1.5(1.2)(2.5)
which, rather than the height, is the method for calculating the volume.
We must rewrite the volume formula to determine the height:
=> V = lwh
=> h = V/lw
Now that we know the numbers to substitute, we can determine the height:
=> h = 1.5(1.2)(2.5) / (1.2)(2.5)
=> h = 1.5 cm
Consequently, 1.5 centimetres is the appropriate height measurement (option A).
To know more about volume , visit:
https://brainly.com/question/13338592
#SPJ1
Marlo wants to draw isosceles right triangle on a coordinate plane that have two vertices at (-3,6) and (2,6) if the coordinates of the third vertex are both integers, how many different isosceles right triangle can he draw?
HELP ME PLS
Marlo can draw two different isosceles right triangles and third vertices are (-0.5, 5) and (-0.5, 7)
Define the term isosceles triangle?An isosceles triangle is a type of triangle in which two sides of the triangle have the same length.
Since the triangle is isosceles, its third vertex must lie on the line that is perpendicular to the line passing through the two given vertices and passes through the midpoint of that line.
The midpoint of the two points (-3,6) and (2,6) connecting the line segment is
((-3+2)/2, (6+6)/2) = (-0.5, 6)
The line passing through (-3,6) and (2,6) has equation y = 6. The line perpendicular to it passing through (-0.5,6) has equation x = -0.5.
Therefore, the third vertex of the isosceles right triangle must have coordinates (-0.5, y), where y is an integer.
To find how many different isosceles right triangles can be drawn, we need to find how many different integer values of y satisfy the condition that the distance between (-3, 6) and (-0.5, y) is the same as the distance between (2, 6) and (-0.5, y).
We know that the distance formula, So,
[tex]\sqrt{((2 - (-0.5))^2 + (6 - y)^2)}[/tex] = [tex]\sqrt{((-3 - (-0.5))^2 + (6 - y)^2)}[/tex]
Simplifying this equation gives:
(2.5)² = (3.5)²
y = 6 ± 1
Therefore, there are two possible values of y, 5 and 7, which correspond to the two possible third vertices of the isosceles right triangle: (-0.5, 5) and (-0.5, 7). So, Marlo can draw two different isosceles right triangles with two vertices at (-3, 6) and (2, 6) such that the coordinates of the third vertex are both integers.
To know more about points, visit:
https://brainly.com/question/30195492
#SPJ1
You bet on one spin of American roulette, which has spaces 0, 00, 1 through 36. Remember that 0 and 00 are not "low". Give the probability of the following event as an unsimplified fraction.
The ball lands on a number that is less than six
The probability of the ball landing on a number that is less than six is:
5/38.
What does the name probability mean?The word "probability" derives from the Latin word "probitatem," which means "credibility, probability," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
American roulette has five numbers that are less than six, namely 1, 2, 3, 4, and 5.
The odds of the ball landing on a number less than six are 5 to 1 out of a total of 38 outcomes (the 36 digits plus 0 and 00).
Hence, the likelihood that the ball will land on a number smaller than six is:
5/38.
To know more about probability visit:
https://brainly.com/question/30719832
#SPJ1
The length of a rectangle is twice its width. If the area of the rectangle is 98cm square, find it’s perimeter
The required perimeter of the rectangle is 42 cm.
What is Rectangle?A quadrilateral with four right edges is a rectangle. It can also be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equivalent. A square is a rectangle with four equally long edges.
According to question:Let's assume that the width of the rectangle is w cm.
The length of the rectangle is twice the width, which means that the length is 2w cm.
The area of the rectangle is given as 98 square cm, so we have:
[tex]$$A = lw = (2w)w = 2w^2 = 98$$[/tex]
Solving for w, we get:
[tex]$$w^2 = 49$$[/tex]
[tex]$$w = \pm 7$$[/tex]
Since the width of the rectangle cannot be negative, we take w = 7 cm.
Then, the length of the rectangle is 2w = 14 cm.
The perimeter of the rectangle is given by:
[tex]$$P = 2l + 2w = 2(14) + 2(7) = 28 + 14 = 42 \text{ cm}$$[/tex]
Therefore, the perimeter of the rectangle is 42 cm.
To know more about Rectangle visit:
brainly.com/question/29123947
#SPJ9
Paul is planning to sell bottled water at the local carnival. Paul's profit (in dollars) from selling b bottles of water is given by the formula P(b)=1.05b-279
Answer:
As per the given information, Paul's profit from selling b bottles of water is given by the formula:
P(b) = 1.05b - 279
Here, b represents the number of bottles sold, and P(b) represents the profit made by Paul in dollars.
We can find the profit made by Paul by substituting the given value of b in the above equation. For example, if Paul sells 100 bottles of water, then his profit can be calculated as follows:
P(100) = 1.05(100) - 279
= 105 - 279
= -174
So, if Paul sells 100 bottles of water, he will make a profit of $174.
Note that the profit is negative in the above example, which means that Paul will incur a loss if he sells only 100 bottles of water. To make a profit, he needs to sell more than 265 bottles of water. We can find this by setting P(b) equal to zero and solving for b as follows:
P(b) = 1.05b - 279 = 0
1.05b = 279
b = 265.71
Therefore, Paul needs to sell more than 265 bottles of water to make a profit.
Paul's profit from selling bottled water is described by the formula P(b)=1.05b-279. This suggests he makes $1.05 per bottle minus an initial cost of $279. To break even, Paul must sell approximately 266 bottles.
Explanation:The question involves understanding of linear functions in the context of a real-world problem. Paul is planning to sell bottled water at the local carnival. His profit function, P(b), represented by the formula P(b)=1.05b-279, describes how his profit changes based on the number of bottles, b, he sells. This formula suggests that for every bottle Paul sells, he makes a profit of $1.05 with the subtraction of $279, which probably represents his initial costs. To break even, Paul has to sell enough water such that his profit, P(b), is zero. Solving the equation P(b)=0 gives b=279/1.05. This means Paul needs to sell approximately 266 bottles of water to break even. Any sales beyond this would generate profit.
Learn more about Linear Function here:https://brainly.com/question/31353350
#SPJ2
sam ran 63,756 feet in 70 minutes. what is sams rate in miles per hour (there are 5,280 feet in one mile.)
An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the linear regression line for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round the coefficients to two decimal places.
Y=
The linear regression line is: Y = 0.51X - 14.05
What is the number?A number is a mathematical object used to count, measure, and label. It is a fundamental concept in mathematics and is used in nearly every branch of the discipline. In everyday life, the notion of numbers is used to count objects, keep track of scores, measure amounts, and label objects.
City TV Commercials Car Sales
A 60 20
B 50 15
C 70 25
D 45 17
E 55 19
Calculating the linear regression line:
m = Slope = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2)
= (5(1475) - (325)(95)) / (5(5850) - (325)2)
= (7375 - 30875) / (29250 - 105625)
= -38500 / -75375
= 0.51
b = Intercept = (ΣY - m(ΣX)) / N
= (95 - 0.51(325)) / 5
= (95 - 165.25) / 5
= -70.25 / 5
= -14.05
Therefore, the linear regression line is:
Y = 0.51X - 14.05.
To know more about numbers click-
brainly.com/question/24644930
#SPJ1
complete question:
An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times
the commercials run on TV each day and the number of car sales in the hundreds. Finds the linear regression line for the data gen in the table Round any intermediate
calculations to no less than a decimal place, and round the coefficients to two decimal places.
Tabi's credit card bill is $283.93. This includes her charges and interest. If the new charges are $213.95 more than the interest, find the amount in charges and the amount in interest.
Tabi's bill includes $248.94 in charges and $34.99 in interest.
Let x be the amount of interest that Tabi was charged, in dollars.
According to the problem, the new charges are $213.95 more than the interest, so the amount of new charges is x + $213.95.
The total bill, which includes the charges and interest, is $283.93.
Therefore, we can write an equation:
x + (x + $213.95) = $283.93
Simplifying and solving for x, we get:
2x + $213.95 = $283.93
2x = $69.98
x = $34.99
So the amount of interest charged is $34.99.
To find the amount of charges, we can use the equation for new charges:
x + $213.95 = $34.99 + $213.95 = $248.94
So the amount of charges is $248.94.
Therefore, Tabi's bill includes $248.94 in charges and $34.99 in interest.
Read more about equation at
https://brainly.com/question/148035
#SPJ1
Calculate the driver's average speed The driver focled his car before departing from Jeffreys Bay His tank's capacity is 28litres. Calculate how much he will pay for fuel if he fills up half of its capacity, and the price of fuel was R17.98 per intre
Answer:
Step-by-step explanation:
I'm sorry, but I cannot accurately calculate the driver's average speed without additional information such as the distance traveled and the time taken.
However, I can help you calculate the cost of fuel if the driver fills up half of the tank's capacity:
Half of the tank's capacity is 28/2 = 14 litres.
The cost of fuel per litre is R17.98.
Therefore, the cost of filling up half the tank is 14 x R17.98 = R251.72.
So, if the price of fuel is R17.98 per litre and the driver fills up half the tank, they will pay R251.72 for fuel.
(a) It takes 64 pounds of seed to completely plant a 9-acre field.
How many acres can be planted per pound of seed?
acres per pound
Answer:
7.111 per pound of seed.
Step-by-step explanation:
64/9 = 7.111
Pre-Algebra Grade 8: Unit 1 Lesson 8 Plane Art (Alternative Portfolio) (Connections)Has anyone done this assignment? Just wanting to get some pointers to get started.
Plane Art include squares, rectangles, triangles, circles, pentagοns, οctοgen, hexagοns, οvals etc. A grοuping οf shapes is called pοlygοns, like squares and rectangles, but circles and οvals are nοt pοlygοns.
What is a plane?A plane is a twο-dimensiοnal surface measured by twο linearly independent pοints; a plane dοesn't have an οbviοus directiοn and can extend indefinitely. In algebra, the pοints are plοtted in the cοοrdinate plane which has a number line extending left tο right and upwards and dοwnwards endlessly and infinitely.
What is Plane Figures and Shapes?In cοntrast tο sοlid shapes, a clοsed twο-dimensiοnal οr flat surface figure is knοwn as a plane shape. Instead οf edges and faces, they pοssess several light lines that make a cοrner οr a vertex where the twο straight lines meet. Sοme basic plane shapes are triangles, squares, rectangles, circles and οvals.
Learn more about plane shape
https://brainly.com/question/11629529
#SPJ1
Complete question:
Pre-Algebra Grade 8: Unit 1 Lesson 8
What is Plane Art?
(Alternative Portfolio)
(Connections)
Find the area of the shaded sector. Round your answer to the nearest hundredth
Answer:
(a) 65.85 km²
Step-by-step explanation:
You want the area of a sector with radius 7 km and central angle 154°.
AreaThe formula for the area of a sector is ...
A = 1/2r²θ . . . . where r is the radius and θ is the central angle in radians
ApplicationA = 1/2(7 km)²(154·π/180) ≈ 65.85 km²
The area of the shaded sector is about 65.85 square km.
__
Additional comment
The last two answer choices can be eliminated because their units are distance units, not area units.
The area of the circle is πr², about 154 km². The shaded part is less than half, but somewhat more than 1/7, so will be less than 77 and more than 22 km². For this problem, a rough estimate of the area can tell you which is the reasonable answer choice.
Ms. Jan brought in cookies for her class. She gave put half of them in the morning. At lunch, she gave out 12 more. She then had 10 cookies left. How many cookies did she bring in?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
lets say X is the cookies Ms. Jans Brought to her class
first she put half of then in the morning (that is [tex]x/2[/tex] of her cookies)
then she gave out 12 more. That is 12 less cookies.
the total cookies left is the total amount minus the half, minus the 12 cookies:
[tex]x-x/2-12=10[/tex]
From this equation we can solve for X
[tex]x/2=10+12[/tex]
[tex]x=2(22)\\[/tex]
[tex]x=44[/tex]
Just for check, if she brought 44 cookies, and put 22 (half of then), she still have 22 cookies, then she 12 more, then only 10 are left. So 44 is the answer.
The seats available to a baseball game come in four types: bleacher, box, club, and grandstand. There are 12,600 box seats and 5,400 club seats available. According to the graph, what is the total number of seats available?
The total number of seats available for the baseball game can be calculated by adding the number of box and club seats available whch is found to be 25,200.
What is the game of baseball?The game of baseball can be used to teach various mathematical concepts, such as probability, statistics, graphing, estimation, and basic arithmetic. The game can also be used to introduce concepts such as geometry and trigonometry, as well as to build problem-solving skills.
The total number of seats available can be calculated by adding the number of box and club seats available, which is
12,600 + 5400 = 18,000.
This total can then be multiplied by the respective percentages of the other two categories to get the total number of seats available.
For instance, the total number of bleacher seats available can be calculated by multiplying 12,000 by 18%.
12,000 x 0.18 = 2,160
Similarly, the total number of grandstand seats available can be calculated by multiplying 12,000 by 42%.
12,000 x 0.42 = 5,040
Hence, the total number of seats available for the baseball game is
18,000 + 2,160 + 5,040 = 25,200.
For more questions related to game
https://brainly.com/question/849192
#SPJ1
Le encargaron de tarea a mi hijo la siguiente fracción equivalente ¿alguien me puede ayudar con la repuesta por favor?
7/12= /6
The surface area of a cylinder is given by the formula SA = 2r^{2} + 2rh , where r is the radius and h is the height.
12. Factor a monomial (the GCF) from the formula
13. Suppose the radius of the cylinder is y and the height is y+2. Rewrite the formula in this case, using multiplication and exponent rules as needed to simplify the expression.
14. Factor the expression from Item 13 completely.
please help ill give brainliest to whoever answers it plsplspls
Answer:
Step-by-step explanation:
SA=2r^{2}+2rh=175.84
< Determine if the given values are solutions to the equation or inequality shown. Explain your reasoning. a. Is c = 4 a solution to the equation 6 = x + 2? b. Is = 4 a solution to the inequality 21 > 9?
Answer:
Step-by-step explanation:
a, YES, x is a solution as 4 + 2 = 6.
b. looks like there's a missing symbol here.
pls pls pls help!! 30 points! show work pls!!
Answer: 5 Miles and 1,241 Yards and 2 Feet
Step-by-step explanation: There are 5,280 ft in a mile. To convert to miles, you can do 30,125/5,280. This will give you 5 miles with a remainder of 3,725 ft.
Next, we convert to yards. There are 3 yards in a foot. For this you can do 3,725/3. This will give you 1,241 yd. with a remainder of 2 feet.
Combine these and it will give you 5 miles and 1,241 yd. and 2 ft.
To check your work, you can do (5*5,280)+(3,725*3)+2=30,125.
Please reply back if you have any question.
-Your Brainly Helper!
What’s the least positive multiple of 199?
The least positive multiple of 199 is still 199
How to find the least positive multiple of 199To find the least positive multiple of 199, we can start by multiplying 199 by 1, 2, 3, and so on until we find a multiple that is a positive integer.
199 x 1 = 199
199 x 2 = 398
199 x 3 = 597
199 x 4 = 796
Notice that the product of 199 and any positive integer greater than 1 will have at least three digits. Therefore, the least positive multiple of 199 is 199 itself.
Therefore, the least positive multiple of 199 is 199.
Learn more about positive multiple at https://brainly.com/question/29548541
#SPJ1
A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 feet per second
(a) How fast is the top of the ladder moving down the wallwhen its base is 7 feet, 15 feet, and 24 feet from the wall?(b) Consider the triangle formed by the side of the house, theladder, and the ground. Find the rate at which the areaof the triangle is changing when the base of the ladder is7 feet from the wall.(c) Find the rate at which the angle between the ladder and thewall of the house is changing when the base of the ladderis 24 feet from the wall
Answer:
The base of the ladder is pulled away from the wall at a rate of 2 feet/sec. b) Consider the triangle formed by the side of the house, the ladder,and the ground
Step-by-step explanation:
PLS HELP whats the answeeeerrrrr 53 POINTS ill mark brainlist! just helppppp
Answer:
In order of the expressions: 3 1/4, 3 1/3, 3 1/2, and 3 1/6
Step-by-step explanation:
Annie found three seashells at the beach. How much shorter is the Scotch Bonnet seashell than the combined lengths of the two Alphabet Cone seashells? Solve this problem any way you choose. Use a diagram to help.
HELP IT'S A MISSING ASSIGNMENT!
The Scotch Bonnet seashell is 3/4 inches shorter than the combined lengths of the two Alphabet Cone seashells.
What is length ?
Length is a physical quantity that describes the size or distance of an object in one dimension. It is typically measured in units such as meters, feet, inches, or centimeters, and can refer to the distance between two points or the size of an object in one direction. In geometry, length is a fundamental concept that is used to define other geometrical properties such as area, volume, and perimeter. In general, length can be defined as the extent of something along its longest dimension, and it is a crucial parameter in many fields, including physics, engineering, architecture, and mathematics.
According to the question:
The combined length of two Alphabet Cone seashells is:
1(3/4) inches + 1(3/4) inches = 3(1/2) inches
The length of the Scotch Bonnet seashell is:
2(1/8) inches
To find the difference in length, we can subtract the length of the Scotch Bonnet seashell from the combined length of the two Alphabet Cone seashells:
3(1/2) inches - 2(1/8) inches = 3(4/8) inches - 2(1/8) inches
Simplifying the expression, we get:
3(4/8) inches - 2(1/8) inches = 3(2/8) inches = 3/4 inches
Therefore, the Scotch Bonnet seashell is 3/4 inches shorter than the combined lengths of the two Alphabet Cone seashells.
To know more about length visit:
https://brainly.com/question/29021920
#SPJ1
Please Help 30 points!
Answer:
p=10m.
Step-by-step explanation:
For every painting Sydney sells, $10 is saved.
If these two shapes are similar, what is the measure of the missing length d?
36 m
meters
Submit
48 m
32 m
Answer:
Step-by-step explanation:
If the shapes are similar - then their lengths are proportional.
You can make a ratio and solve for the missing variable.
You must match the corresponding sides.
[tex]\frac{32}{48}[/tex] = [tex]\frac{d}{36}[/tex]
Cross mulitiply the "diagonal values" and divide by the value
diagonal from the variable.
32 × 36 = 48d
1152 = 48d
1152/48 = 48d/48
24 = d
find the scale factor of the smaller figure to the larger figure
Therefore, the scale factor of the smaller polygon to the larger polygon is 2. Therefore, the scale factor of the smaller triangle to the larger triangle is 6.
What is scale factor?Scale factor refers to the ratio of any two corresponding lengths in two similar geometric figures. In other words, it is the ratio of the size of an object in one image or figure to the size of the same object in another image or figure, assuming that the two images or figures are proportional to each other. The scale factor can be used to determine the relationship between the sizes of the objects in the two figures or images.
Here,
1. The scale factor from the smaller polygon to the larger polygon is found by dividing the length of the larger polygon by the length of the smaller polygon:
scale factor = length of larger polygon / length of smaller polygon
scale factor = 14 / 7
= 2
2. The scale factor from the smaller triangle to the larger triangle is found by dividing the length of the larger triangle by the length of the smaller triangle:
scale factor = length of larger triangle / length of smaller triangle
scale factor = 24 / 4
= 6
To know more about scale factor,
https://brainly.com/question/30215044
#SPJ1