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yarga [219]
3 years ago
9

A rhombus is enlarged and has a new perimeter of 40 feet. If the original perimeter was 10 feet, by what factor was the rhombus

enlarged?
Mathematics
2 answers:
Gwar [14]3 years ago
8 0
If the original perimeter was 10 and it is now 40, then the rhombus was enlarged by a scale factor of 4.
n200080 [17]3 years ago
3 0

Answer: The rhombus was enlarged by scale factor of 4.

Step-by-step explanation:

We know that the scale factor is the ratio of the new image to the original image.

Let k be the scale factor, then

k=\frac{\text{Perimeter of new rhombus}}{\text{perimeter of original rhombus}}\\\\\Rightarrow\ k=\frac{40}{10}\\\\\Rightarrow\ k=4

Therefore, the rhombus was enlarged by scale factor of 4.

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What is the slope of a line perpendicular to the line whose equation is x+ 3y = -15 Fully simplify your answer.
alukav5142 [94]

Answer:

3

Step-by-step explanation:

We can find the slope of the given line in this two way:

1) the faster is calculate -a/b where a is the number the multiply x and b is the number the multiply y. In this case we have -1/3

2) the second method is rewrite the equation in slope intercept form and find the therm that multiply x

3y = -x-15

y = -1/3x - 5

Also in this case we have -1/3

Two perpendicular lines have the the product of the their slope that is -1

So the slope that we are finding is 3

In fact = 3 x -1/3 = -1

3 0
2 years ago
Given the pay rate and hours worked, determine the gross earnings, Federal taxes (assuming 18% of gross earnings), state taxes (
ella [17]

Answer:

Let us assume that the pay rate per hour = x

no. of hours worked = n

Gross earnings = x*n

Federal taxes = 18% of gross earnings

= 0.18(x*n)

State taxes = 4% of gross earnings

= 0.04(x*n)

Social security deduction = 7.05% of gross earnings

= 0.0705(x*n)

Total deductions = Federal taxes + State taxes +SSD

= 0.18(x*n) + 0.04(x*n) + 0.0705(x*n)

= 0.2905(x*n)

Net pay = Gross earnings - Total Deduction

Net pay = x*n - 0.2905(x*n)

Net pay = 0.7095(x*n)

3 0
2 years ago
PLS HELP FIND THE MISSING ANGLE !!!!! <3
denis-greek [22]
It’s 100°! I cause 75+75 = 150 and if the circle is 350 then 150-350 = 200 and 200÷2 is 100
8 0
2 years ago
<img src="https://tex.z-dn.net/?f=If%20w%3D2x%2C%20then%20%5Cint%5Climits%5E2_0%20%7Bf%282x%29%7D%20%5C%2C%20dx%20%3D" id="TexFo
elena-14-01-66 [18.8K]
First, you should solve for f(2x), which equals 2*(2x)=4x.  Now, solve the integral of f(2x)=2*(2x)=4x, to get that\int\ {(f(2x)=4x)} \, dx= 2x^2.  You can check this by taking the integral of what you got.  Now by the Fundamental Theorem\int\limits^2_0 {4x} \, dx=[2x^2] ^{2}_{0}=2(2)^{2}-2(0)^2=8.

This should be the answer to your question, if I understood what you were asking correctly. 
8 0
2 years ago
Two times the sum of a number and 8 subtracted from the number equals 6. What is the number that makes this statement true?
Zanzabum

Answer:

7

Step-by-step explanation:

let the no. be 'x'

By question,

2x-8=6

or, 2x =6+8

or,2x = 14

or,x = 7

therefore, the no. is 7.

5 0
3 years ago
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