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vlada-n [284]
3 years ago
8

Evaluate the expression for the given value of the variable. 60m; m=5

Mathematics
2 answers:
antoniya [11.8K]3 years ago
8 0

Answer:

300

Step-by-step explanation:

Plug in 5 for m

60(5) = 300

kolezko [41]3 years ago
8 0
Your answer is 300. You multiply 60 by the variable (m). Using this knowledge you do 60(m) or 60xm giving you 300
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The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz
9966 [12]

Answer:

(a)\ Area = 3765.32

(b)\ Area = 4773

Step-by-step explanation:

Given

A_1 = 169in^2 --- area of each square

Shade = 4in

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

L^2 = A_1

L^2 = 169

L = \sqrt{169

L=13

The length of two squares make up the radius of the semicircle.

So:

r = 2 * L

r = 2*13

r = 26

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

A_2 = 16 * 169

A_2 = 2704

The area of the semicircle is:

A_3 = \frac{\pi r^2}{2}

A_3 = \frac{3.14 * 26^2}{2}

A_3 = 1061.32

So, the area of the window is:

Area = A_2 + A_3

Area = 2704 + 1061.32

Area = 3765.32

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

Length = 4 * 13 + 8

Length = 60

Height = 4*13 + 4

Height = 56

The area is:

A_1 = 60 * 56 = 3360

The radius of the semicircle becomes initial radius + 4

r = 26 + 4 = 30

The area is:

A_2 = \frac{3.14 * 30^2}{2} = 1413

The area of the shade is:

Area = A_1 + A_2

Area = 3360 + 1413

Area = 4773

7 0
3 years ago
7р + 8р - 12 = 59 what would this be
MArishka [77]

Answer:

4.7333....................

Step-by-step explanation:

First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....

3 0
3 years ago
Give me some good memes all these people got lame memes
sp2606 [1]

Answer:

heres one for you

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What is the area of that shaded sector?
melomori [17]

Answer:

50.24

Step-by-step explanation:

1/4x3.14xr^2

r=16 because of the length

90/360= 1/4

so

1/4x3.14x16^2/4

=50.24

4 is our denominator because of the denominator on the fraction

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3 years ago
What shape is a rectangle but is not a square
beks73 [17]

Answer:

A quadrilateral is a rectangle

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3 years ago
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