Answer:
A = 50π cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle: A = πr²
r is radiusStep-by-step explanation:
*Note: A semicircle is half a full circle.
Step 1: Define
Radius r = 10 cm
Step 2: Solve for A
Rewrite Area of Circle Formula: A = 0.5πr²Substitute in r [Area of Semicircle Formula]: A = 0.5π(10 cm)²[Area] Evaluate exponents: A = 0.5π(100 cm²)[Area] Multiply: A = 50π cm²find the gradient of the line segement between the points (0,-6) and (2,-16)
answer = 5
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:
A line is increasing, and goes upwards from left to right when m > 0
A line is decreasing, and goes downwards from left to right when m < 0
A line has a constant slope, and is horizontal when m = 0
A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.
Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:
m =
y2 - y1
x2 - x1
Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23
Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10
PLS HELPP!! thank you
Answer:
$20.71/[tex]ft^{2}[/tex]
Step-by-step explanation:
290 ÷ 14 = 20.71 (rounded)
how do you solve this?
Answer:
x=110(by vertical opposite angle)
Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
10. The figure is a rectangle. What is x?
28
Answer:
152
Step-by-step explanation:
180 minus 28 is 152 degrees
Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?
Answer:y=-3
Step-by-step explanation:
The value of the asymptote of the function is,
⇒ y = - 3
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
g(x) is an exponential function shown in the graph.
We know that;
On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.
Hence, From graph,
The value of the asymptote of the function is,
⇒ y = - 3
Thus, he value of the asymptote of the function is,
⇒ y = - 3
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ2
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answer:
48.6
Step-by-step explanation:
If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar
Just do 8.1*6 and you will get 48.6
Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)
Answer:
Step-by-step explanation:
The hypotenuse is 200 meters.
The angle making the ground and the Hypotenuse is 7 degrees.
The trig relationship needed is the cosine.
Cos(7) = x / 200 Multiply both sides by 200
200*cos(7) = x
200* 0.9925 = x
x = 198.51
The calculator held the actual answer of cos(7)
Find the area of the shape shown below.
Answer:
To find the area break up the shapes:
The rectangle is A = bh which is 7*3 which is 21.
Triangle: A = 1/2(bh)
A=1/2(3*7)
A=1/2(21)
A=10.5
Now add up the areas:
21+10.5
=
31.5
The answer is 31.5 units.
If 4c + 10= 20 -16c, what is 8c?
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.
Answer:
[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]
answer:10×2=20
5×3=15
Answer:
y = 7.5
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 10 when x = 20
10 = 20k ( divide both sides by 20 )
[tex]\frac{1}{2}[/tex] = k
y = [tex]\frac{1}{2}[/tex] x ← equation of variation
When x = 15 , then
y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5
Check out the image
Answer:
oop, okay
Step-by-step explanation:
Answer:
twitter should work
go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up
example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites
Step-by-step explanation:
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Please find the missing angle of this Shape.
write the equation, please.
Answer:
x^2+y^2 = 49
Step-by-step explanation:
This is a circle.
The generic equation of a circle is
(x-h)^2+ (y-k)^2 = r^2
where (h,k) is the center and r is the radius
The center of the circle is at the origin which is (0,0)
The radius is 7
(x-0)^2+(y-0)^2 = 7^2
x^2+y^2 = 49
Answer:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
Step-by-step explanation:
we are given a circle
we want to figure out the equation of the circle
remember that,
[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]
(h,k) are the centre of the circle
we can clearly see that the centre of the circle is (0,0) and the redious is 7 units
thus substitute:
[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]
further simplification is needed:
[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]
and we are done!
which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),
Answer:
[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]
Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?
Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.
Step-by-step explanation:
The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.
What is a box plot?A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.
Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).
The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.
Therefore, the correct option for the box plot will be F.
To know more about the Box plot follow
https://brainly.com/question/14513996
#SPJ2
The cost of a holiday is £2400
Rana pays a deposit followed by monthly payments, in the ratio
deposit : total of the monthly payments = 3:5
She makes 6 equal monthly payments. Work out her monthly payment
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.
Then the total of the monthly payment will be given as,
£2400 / Total of the monthly payments = 3:5
Total of the monthly payments = (5/3) x £2400
Total of the monthly payments = £4,000
She makes 6 equal monthly payments. Then the monthly payment will be given as,
Monthly payment = £4,000 / 6
Monthly payment = £666.67
She makes 6 equal monthly payments. Then the monthly payment will be £666.67.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?
If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.
The snowcone is a sphere.
Volume of a spherevolume = 4 / 3πr³
where
r = radiusTherefore,
volume of the snowcone = 4 / 3 × π × 4³
volume of the snowcone = 256 π/ 3 = 85.33π
Therefore, the volume of the cone canbe found as follows:
volume of the cone shaped paper = 1 / 3 πr²h
h = 12 cm
r = 6cm
volume of the cone shaped paper = 1 / 3 × π × 6² × 12
volume of the cone shaped paper = 144π
Therefore, let find if the ice melt in the cone whether it will overow.
144π - 85.33π = 58.67π
Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.
learn more on volume here: https://brainly.com/question/22910449
a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?
Step-by-step explanation:
tan3 = 200/x
x = 200/tan3
The question is incomplete. The right question is:
A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?
The distance between the fire and the base of the tower is 3816.2 feet.
What is the concept of height and distances?Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.
How do we solve the given question?We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.
We are asked to find the distance between the fire and the base of the tower.
We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.
We let the distance between the fire and the foot of the tower be x foot.
∠BCA = ∠DAC = 3° (alternate angles).
Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)
In ΔABC,
tan ∠BAC = BC/AB (tan θ = perpendicular/base)
or, tan 87° = x/200
or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).
∴ The distance between the fire and the base of the tower is 3816.2 feet.
Learn more about Heights and Distances at
https://brainly.com/question/14361606
#SPJ2
Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *
Answer:
$135
Step-by-step explanation:
She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.
Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).
Answer:
5⁶
Step-by-step explanation:
We have
[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]
BRAINLY TO WHOEVER HELPS
Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10
Answer:
A, C and D
Step-by-step explanation:
B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go
30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?
Answer:
There are 50 students in total in the school play, acting and working behind the scene.
Step-by-step explanation:
Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:
100%-30%=70%
Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:
70% → 35
100% → x
x=(100*35)/70
x=50
According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.
Which expression is equivalent to -7(y-2)?
A. -7y - 2
B. -7y + 2
C. -7y - 14
D. -7y + 14
Answer:
D) -7y + 14
Step-by-step explanation:
-7 x y = -7y
-7 × -2=14 ( negative times negative equals positive)
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
plz help me pls
8 hr = _________ min
30 min = _________ s
15 hr = ___________ min
5 yr = ____________d
7 d = ____________ hr
24 hr = __________ min
600 s = __________ min
60,000 min = __________ hr
Answer:
8hr=480min
30min=1800sec
15hr=900min
5yr=1825d
Step-by-step explanation:
In the figure,Line x is parallel to line y. identify the angles congruent to angle 3
Answer:
For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.
Step-by-step explanation: