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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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KATRIN_1 [288]

Answer:

Linear Equation: y=-44000x+88922000

Year 2009: $526000

By year 2021, they have no more fund

Step-by-step explanation:

Slope formula is difference of y/difference of x. 79000-70200/2003-2005=

-88000/2=-44000.

To find the y intercept, x=0.

It should be year 0. 44000x2003=88132000+790000=88922000

Now put it into y=mx+b

y=-44000x+88922000

Plug in 2009.

It should equal 526000.

6 0
2 years ago
the ratio of dogs to cats at the pet store is 1:4.if the pet shop has 7 dogs,how many cats does it have ?
slamgirl [31]
1:4=\frac{1}{4}\\\\d-number\ of\ dogs;\ c-number\ of\ cats\\\\d:c=1:4\to\frac{d}{c}=\frac{1}{4}\\\\d=7\ therefore\\\\\frac{7}{c}=\frac{1}{4}\ \ \ \ |cross\ multiply\\\\1\cdot c=7\cdot4\\\\\boxed{c=28}\leftarrow answer
6 0
2 years ago
the functions f(x) and g(x) are described using the following equation and table: f(x) = −6(1.02)x x g(x) –1 –5 0 –3 1 –1 2 1 wh
amid [387]
F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)

g(x) has a y-intercept at (0, -3)

Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
3 0
2 years ago
Read 2 more answers
1. What is the constant of proportionality, k,<br><br><br> of Kevin's wage? Greg's? Savannah's?
Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is k=\$8.25\ per\ hour

Part b) The constant of proportionality of Greg's wage is k=\$9.00\ per\ hour

Part c) The constant of proportionality of Savannah's wage is k=\$9.50\ per\ hour

Step-by-step explanation:

See the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

To find out the constant of proportionality k , divide the variable y (total earned) by the variable x (number of hours)

<em>Kevin's wage</em>

Take any point from the table

I take the point (2,16.50)

k=\frac{16.50}{2}=\$8.25\ per\ hour

<em>Greg's wage</em>

Take any point from the table

I take the point (3,27.00)

k=\frac{27.00}{3}=\$9.00\ per\ hour

<em>Savannah's wage</em>

Take any point from the table

I take the point (2,19.00)

k=\frac{19.00}{2}=\$9.50\ per\ hour

3 0
3 years ago
1. x + 2 = 8<br> How to solve this problem
s344n2d4d5 [400]

Answer:

Subtract two from 8, the remainder is x. In this case, it is 6.

For future questions, try to think of x as a mystery number rather than a letter. You got this. :)

3 0
2 years ago
Read 2 more answers
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