Ask question

Ask question

All categories

3 years ago

14

The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions

of the model.
40'' by 40''
20'' by 40''
40'' by 80''
80'' by 80"

1 answer:

VMariaS [17]3 years ago

6 0

20’ / 5’ = 4

4 x 10” = 40”

40’ /5’ = 8

8 x 10” = 80”

Scaled dimension: 40” x 80”

You might be interested in

What the anwser fast !!!!!!

Vlad1618 [11]

Answer:

The initial height is the y-intercept of the graph

slope of the graph = -2

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly.

Step-by-step explanation:

Slope = change in y ÷ change in x = (0 - 12) ÷ (6 - 0) = -12 ÷ 6 = -2

So the slope of the graph = -2

by inspection, the y-intercept = 12

Therefore, the equation for the line is y = -2x + 12

Jordon interprets the only the slope correctly.

Aral interprets the only the initial height correctly

3 0

3 years ago

A regression equation that predicts the price of homes in thousands of dollars is t = 24.6 + 0.055x1 - 3.6x2, where x2 is a dumm

AveGali [126]

Answer:

a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

Step-by-step explanation:

For the same home (x1 is the same), x2 = 1 if it is on a busy street and x2 = 0 if it is not on a busy street. If x2 = 1, the value of 't' decreases by 3.6 when compared to the value of 't' for x2=0. Since 't' is given in thousands of dollars, when a home is on a busy street, its value decreases by 3.6 thousand dollars.

$t(x1, 0)= 24.6 + 0.055x1\\t(x1, 1) = 24.6 + 0.055x1 - 3.6\\t(x1, 1) = t(x1, 0) - 3.6$

Therefore, the answer is a) On average, homes that are on busy streets are worth $3600 less than homes that are not on busy streets.

8 0

3 years ago

a rectangular lawn has an area of a^3 - 125. use the difference of cubes to find out the dimensions of the rectangle.

ANEK [815]

The area of a rectangle is the product of its dimensions

The dimensions of the rectangle are: $\mathbf{Length = a -5}$ and $\mathbf{Width = a^2 + 5a + 25}$

The area is given as:

$\mathbf{Area = a^3 - 125}$

Express 125 as 5^3

$\mathbf{Area = a^3 - 5^3}$

Apply difference of cubes

$\mathbf{Area = (a - 5)(a^2 + 5a + 5^2)}$

$\mathbf{Area = (a - 5)(a^2 + 5a + 25)}$

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, by comparison:

$\mathbf{Length = a -5}$

$\mathbf{Width = a^2 + 5a + 25}$

Read more about areas at:

brainly.com/question/3518080

6 0

2 years ago

WHICH IS THE CORRECT ANSWER ?!

alex41 [277]

Answer:

B

Step-by-step explanation:

when you calculate in calculator putting all given values it will give 17/8

hope you liked it

8 0

3 years ago

Which polynomial represents the sum below?

FromTheMoon [43]

Answer: D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

<h2>What are like terms?</h2>

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

<h2>Solve</h2>

(4x² + 1) + (4x² + x + 2) Starting equation from the question

= 4x² + 1 + 4x² + x + 2 Remove brackets

= 4x² + 4x² + x + 1 + 2 Rearrange to group like terms together

= 8x² + x + 1 + 2 Add like terms with the same 'x²' variables

= 8x² + x + 3 Add like terms that are constants

Learn more about adding polynomials here:

brainly.com/question/1311115

6 0

2 years ago