Answer: cos(0) = 1
hope this helped
3x-3y=24. Solve for x
Answer:
x=8-y
Step-by-step explanation:
if we know the area of a parallelogram is 25 square inches and its base length is 5 inches, what is the height
Answer:
5 inches
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the height )
Here A = 25, b = 5 , then
25 = 5h ( divide both sides by 5 )
5 = h
That is the height is 5 inches
Combine the like terms: 4y + y + y
Answer: 6Y
Step-by-step explanation: 4 + 1 + 1 = 6
Answer:
[tex]\huge \boxed{6y}[/tex]
Step-by-step explanation:
[tex]4y+y+y[/tex]
Rewriting y as 1y.
[tex]4y+1y+1y[/tex]
Factoring out y.
[tex](4+1+1)y[/tex]
Adding the numbers.
[tex](6)y[/tex]
F(x) = x^2 + 2
F(x + h) =
Answer:
x^2+2xh+h^2+2
Step-by-step explanation:
F(x+h)=(x+h)^2+2 = x^2+2xh+h^2+2.
The scale from the actual coin to the photo is 8 mm to 2 cm. In the photo, the distance across the coin is 3.25 cm. What is the distance across the actual coin?
Answer:
13 mm
Step-by-step explanation:
Given that scale from actual coin to the photo is
8 mm to 2 cm.
Distance across the coin in photo is 3.25 cm.
To find:
Distance across the actual coin = ?
Solution:
First of all, let us learn about scaling concept.
The concept of scaling is used to represent the actual object as as image so that it can be drawn on a paper.
This scaling can result in a smaller image or a bigger image depending upon the size of object.
Here, 8 mm coin is represented as 2 cm coin on the photo.
Let us use unitary method to identify the distance across actual coin to the distance across photo.
2 cm ---- 8 mm
1 cm ------ [tex]\frac{8}{2} = 4\ mm[/tex]
3.25 cm ------- 4 \times 3.25 mm = 13 mm
Separate 46 into 2 parts so that 1 part is 1 more than twice as much as the first part. Find each part. show work
Answer:
x=31
y=15
Step-by-step explanation:
let x and y be the 2 part
x+y=46
x-2y=1 ⇒ x=1+2y
substitute :
1+2y+y=46
3y=46-1
3y=45 ⇒ y=45/3=15
x-2y=1
x-2(15)=1 ⇒ x=1+30 ⇒x=31
x= 2 times y(15)+1
y=15
31+15=46
Martha drew the following shape on her
notebook:
What types of angles are included in
the shape she drew?
Plz help
Answer:
right angles and obtuse angles
Step-by-step explanation:
We assume that anything that looks like a right angle is a right angle.
The angles at the left end of each horizontal line are right angles.
The angles at the right end of each horizontal line are obtuse angles.
The angle where the diagonal lines meet is a right angle.
The shape contains right angles and obtuse angles.
A custom T-shirt shop spent $250 dollars on equipment and has to purchase the T-shirts at a cost of $2 per shirt. Their total cost, C, can be found using the function C=2T+250 Where T is the number of T-shirts they purchase. If the shop purchased 300 T-shirts, how much was their total cost? PLEASE ANSWER BY 11:59 8-28-2020
Answer:
So we know the shop spent $250 on equipment and they also purchased 300 T-shirts for $2 each.
Knowing this, we only have to add to the $250, what they have paid for the T-shirts.
So if each T-shirt is purchased by $2 and they have bought 300, we multiply:
2 * 300 = $600
So we add the $600 spent on T-shirts to the $250:
600 + 250 = $850
We could also have done it with by replacing T for 300 in C = 2T + 250:
C = 2*300 + 250 --> C = 600 + 250 --> C = $850
20 POINTS 20 POINTS 20 POINTS This is my second time asking this question!
Answer: 3. 4 2/3 ÷ √4/8 4. 4 2/3 - √4/8
Step-by-step explanation:
irrational number will never be changed into rational number when they do any operation with rational numbers.
4 2/3 is a rational number, which means the second term in the expression must be rational in order to make the expression entirely rational
√3 is not rational, thus, all the expressions that contains √3 is irrational.
The remaining have √4, but √4 is rational because simplifying it will become 2, and so expressions with √4 is rational
Answer:
Third and fourth.
Step-by-step explanation:
The first one is not because the second number is not rational; [tex]\sqrt{3}[/tex] is not rational.
The second one is not either for the above reason.
The third is because [tex]\sqrt{4}[/tex] is 2, which is rational.
Also the fourth for the previous reason.
And not the fifth for the first reason.
Part C Imagine that the recipe is doubled and that 4 cups of sugar are used. Use
unit rate in A to find how much fout is needed if the recipe is made with4capslof. 1.0
sugar. Show your work.
Answer:
coordinate plane
Step-by-step explanation:
1.true or false :The vertical axis is called the y-axis-
What are families of functions and how are they useful?
Answer:
Function families are groups of functions with similarities that make them easier to graph when you are familiar with the parent function. They're useful because if you know the parent function, you can figure out another function from there
Step-by-step explanation:
After a series of rainy days, a meteorologist wants to compare the average daily rainfall over the past week between two cities. The daily rainfall totals, in inches, for both cities are given below.
City A = 1.6, 3.8, 2.2, 0.4, 3.4, 2.6, 1.5
City B = 1.2, 4.5, 0.9, 3.6, 2.1, 1.1, 1.3
Which of the following statements are true regarding the data sets above?
I. The mean rainfall of city A is greater than the mean rainfall of city B.
II. The median rainfall of city B is half the median rainfall of city A.
III. The range of rainfall amounts for city A is greater than the range of rainfall amounts for city B.
IV. The median rainfall is less than the mean rainfall for both cities.
II and III
I and III
I and IV
II and IV
Answer:
I and IV
Step-by-step explanation:
Answer:
I and IV
Step-by-step explanation:
In order to compare the two data sets with the given statements, find the mean, median, and range for each data set.
First, to compare the mean rainfall of the two cities, find the average of each city's inches of rainfall. To find the average, add up the data points and divide by the total number of points, which is 7.
Since the mean of city A is 2.21 and the mean of city B is 2.1, the mean rainfall of city A is greater than the mean rainfall of city B.
Next, determine the median rainfall for each city. To find the median of the data sets, list the data in order of least to greatest and find the middle term.
Hence, the median of city A is 2.2 and the median of city B is 1.3, so the median rainfall of city B is not half the median rainfall of city A.
In order to compare the ranges of rainfall, find the difference between the minimum and the maximum rainfall amounts for each city.
So, the range of rainfall amounts for city A is less than the range of rainfall amounts for city B.
Therefore, the statements which are true regarding the given data sets are I and IV.
please help me!!!!! i need full answer.
Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( [tex]\frac{x+y}{2}[/tex])sin ([tex]\frac{x-y}{2}[/tex] )
sin x - sin y = 2cos ([tex]\frac{x+y}{2}[/tex] )sin ([tex]\frac{x-y}{2}[/tex] )
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin([tex]\frac{A+B}{2}[/tex])sin([tex]\frac{A-B}{2}[/tex] ) ]² + [ 2cos([tex]\frac{A+B}{2}[/tex] )sin([tex]\frac{A-B}{2}[/tex] ) ]²
= 4sin² ([tex]\frac{A+B}{2}[/tex] )sin² ([tex]\frac{A-B}{2}[/tex] ) + 4cos² ([tex]\frac{A+B}{2}[/tex] )sin² ( [tex]\frac{A-B}{2}[/tex] )
= 4sin² ([tex]\frac{A-B}{2}[/tex] )[ sin² ( [tex]\frac{A+B}{2}[/tex] ) + cos² ( [tex]\frac{A+B}{2}[/tex] ) ← sin²x + cos²x = 1
= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) × 1
= 4sin² ( [tex]\frac{A-B}{2}[/tex] ) = right side ⇒ proven
John can drive his car fifteen miles on three gallons of gasoline. How many gallons of gas will John need to drive one hundred ninety-five miles?
Answer:
39
Step-by-step explanation:
195 ÷ 15 = 13
13 x 3 = 39
Suppose EG = 3, EV = 8, A F= 7, mebg = 19, megf = 28, and mcae= 51. Find each value.
Answer:
29) EF is 3
30) AG = 11
31) AD = 4
32) m∠EFG 28°
33) m∠CAF = 32°
34) DF = 3
Step-by-step explanation:
29) EF is given as being congruent to EG, therefore, EF = EG = 3
30) AE = EB = 8 Given
AG = AE + EG Segment addition postulate
AG = AE + EG = EB + EG = 8 + 3 = 11 Transitive property
31) m∠EAD = m∠EBG = 19° Given
m∠DFG + m∠EGF + m∠EAD = 180° Sum of angles of a triangle
∴m∠DFG = 180° - (m∠EGF + m∠EAD) = 180° - (28° + 19°) = 133°
A F = 7 Given
DF = EG = 3 Given
AD = A F - DF = 7 - 3 = 4 From segment addition postulate
32) m∠EFG = m∠EGF = 28° Given
33) m∠CAE = 51° Given
m∠CAE = m∠CAF + m∠EAD Angle addition postulate
∴ 51° = m∠CAF + 19°
m∠CAF = 51° - 19° = 32° Subtraction of angles
m∠CAF = 32°
34) DF = EG = 3 Given.
which is an equation of the line passing through ( -2,3) and perpendicular to the line 5x-y=12
Answer:
y = -1/5x + 2.6
Step-by-step explanation:
Put the equation into slope intercept form:
5x - y = 12
-y = -5x + 12
y = 5x - 12
The slope of a perpendicular line will be the opposite reciprocal.
So, the slope of the new line will be -1/5
Then, plug this slope and the given point into the equation y = mx + b to find b
y = mx + b
3 = -1/5(-2) + b
3 = 0.4 + b
2.6 = b
So, the equation will be y = -1/5x + 2.6
Answer:
x + 5y = 13
Step-by-step explanation:
When the equation of the line is given in the form ...
ax -by = c
The perpendicular line can be written in the form ...
bx +ay = constant
where "constant" is found by using the given point values for x and y.
Here, your equation will be ...
x +5y = (-2) +5(3) = 13 . . . . for point (-2, 3)
The perpendicular line through (-2, 3) is x +5y = 13.
Are x+4=5 and 2x+8=10 equivalent equations?
Answer:
Yes
Step-by-step explanation:
You can find the answer to this question by finding the value of x in both equations.
Let's start off with the first equation: [tex]x+4=5[/tex]
To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.
[tex]x+4-4=5-4[/tex]
[tex]x=1[/tex]
The answer to the first equation is x = 1.
Now let's start on the second equation: [tex]2x+8=10[/tex]
Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.
[tex]2x+8-8=10-8[/tex]
[tex]2x=2[/tex]
Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).
[tex]\frac{2x}{2} = \frac{2}{2}[/tex]
[tex]x = 1[/tex]
The answer to the second equation is x = 1.
Since both equations have the same solution, the answer to your question would be yes.
Hello There!
ANSWER:Yes
EXPLANATION:If you want to know if your two equations are equivalent, let's try finding the answer to both of them.
[tex]x+4=5[/tex]
Let's find x.
We all know addition and subtraction. So let's just do
[tex]5-4=x[/tex]
So 5-4 is equal to 1.
So the answer for this equation is
[tex]x=1[/tex]
Let's move on to your second equation.
[tex]2x+8=10[/tex]
Now we must subtract 8 from both sides.
[tex]2x+8-8=10-8[/tex]
And this equals
[tex]2x=2[/tex]
Let's divide the both sides by 2.
[tex]\frac{2x}{2}=\frac{2}{2}[/tex]
The fraction [tex]\frac{2}{2}[/tex] is gonna equal one.
So [tex]x=1[/tex]
Now you have your answer for the second equation. Both answers were the same.
So the answer to your question is YES.
Decide whether perimeter or area would be used to find the quantity of sheet metal needed for a roof. a-area b-perimeter
Answer:
you would need to find the area of the quantity of sheet metal needed for a roof
Step-by-step explanation:
The area is used to find the quantity of sheet metal needed for a roof.
We need to check whether the perimeter or area would be used to find the quantity of sheet metal needed for a roof.
What are perimeter and area?Area: Area is defined as the amount of space that is occupied by any shape, object, or flat surface. The total number of square units that can fit into a shape or object or a flat surface defines the actual area.
Perimeter: The word 'perimeter' is derived from the Greek word 'Perimetron'. 'Peri' means 'around' and 'Metron' means 'measure'. The perimeter of a shape is calculated by adding up the length of all the sides or by measuring the outer boundary of a shape or an object.
Therefore, the area is used to find the quantity of sheet metal needed for a roof.
To learn more about an area visit:
https://brainly.com/question/27683633.
#SPJ2
Q.Write 3,141,500 in scientific notation.
Answer:
3.1415×10⁶
Step-by-step explanation:
Move the decimal point one digit at a time until it is after the first digit. Count the number of times the decimal point moved.
In this case, we move the decimal point 6 places to the left. So the scientific notation is:
3.1415×10⁶
what is the answer to 5x-7=2x+11
Answer: 6
Step-by-step explanation:
5x - 7 = 2x + 11
-2x +7 -2x +7 because what you do to one side you have to do to the other
3x = 18 now we have x on one side and nothing else on that side
then divide by 3
18/3 = 6
-29 = 5u+ 6-12u solve for u
Answer:
u=5
Step-by-step explanation:
-29 = 5u + 6 - 12u
-6 -6
-35 =5u - 12u
-7u
-35 = 7u
-35 divided by 7 to get u by itself equals 5
therefore u =5
Step-by-step explanation:
Reorder the terms:
6+5u+ -12u= -29
u =5
*PLEASE ANSWER, DIFFICULT QUESTION* Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he’ll call her on the phone. If he talks to her at school, he’s 90% likely to ask her to a party. However, he’s only 60% likely to ask her over the phone.
What is the total probability of Thomas inviting Madeline to the party?
a.) 100%
b.) 84%
c.) 64%
d.) 90%
B or D
Either one of them
Julie does not want to spend more than $300 on ice skating. Her skates will cost $42, her lessons will cost a total of $56, and the practice time will cost $7.50 per hour. Which inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $300?
Answer:
42+56+7.5h ≤ 300
≤ means less than or equal to and Julie does not want to go over 300 so this would be the correct symbol to use
what is the value of the expression below when z=2?
5z^2-z-4
Answer:
14
Step-by-step explanation:
5(2)² - 2 - 4 = 14
The required value of the given expression 5z²-z-4 is 14 when z = 2,
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.
The expression is given in the question below as:
5z²-z-4
To determine the value of the expression 5z²-z-4 when z=2, we need to substitute 2 for every occurrence of z in the expression and then simplify the expression.
5z²-z-4 when z = 2 is :
= 5(2²)-2-4
= 5(4)-2-4
= 20-2-4
= 14
Therefore, the required value is 14.
Learn more about the algebraic expression here :
brainly.com/question/21751419
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Solve 6x-3y=-6 for y
Answer:
y = 2x + 2
Step-by-step explanation:
6x -3y = -6 (get y on one side of the equals sign by substracting 6x from both sides)
-3y = -6x - 6 (divide each side by -3 to get final value of y)
y = 2x + 2
Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27, x?
Answer:
See Explanation
Step-by-step explanation:
The options are not given; however, the solution is as follows;
[tex]3y = 27x[/tex]
Required
Determine relationships with the same constant of proportionality (k)
[tex]3y = 27x[/tex]
Divide both sides by 3
[tex]\frac{3y}{3} = \frac{27x}{3}[/tex]
[tex]y = \frac{27x}{3}[/tex]
[tex]y = 9x[/tex]
The relationship between y, x and k is:
[tex]y = kx[/tex]
Comparing [tex]y = kx[/tex] with [tex]y = 9x[/tex]; then
[tex]k = 9[/tex]
Hence, any of the options with k=9 answers the question.
Take for instance:
[tex]2y = 18x[/tex]
Dividing both sides by 2 gives
[tex]y = 9x[/tex] and hence; [tex]k = 9[/tex]
Answer:
The answers are A B and C
Step-by-step explanation:
I just got it right
how do you know if it is a function
Answer:
use the straight line test
Step-by-step explanation:
use your pencil or draw a line horizontally (like this -> I )anywhere on the graph. If it's a function, it will only touch the line at one point no matter where you put the line.
Is it a ,b,c,d which one?
please help with part b on ex 3&4
Answer
Ex 3) - b
(-2, 19) (1,4)
Ex 4) -b
(1, 3) (3, 5)
A watermelon consists of 90% water and 10% pulp. After drying the weight is 20 kg
and 40% water is left. What was the initial weight?