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nataly862011 [7]
3 years ago
7

Please answer ASAP!!plssss

Mathematics
1 answer:
34kurt3 years ago
6 0

Answer:

86°

Step-by-step explanation:

b = 29× 2 = 58

d= [180-(86+29)]×2 = 130

a=c=x

a+b+c+d = 360

2x+188= 360

2x= 172

x= 86

a = c = 86°

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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
What is 49400000000000 written in scientific notation
Mashutka [201]

Answer:

4.94x10^13

Step-by-step explanation:

You have to move the decimal 13 times to the right and the number you get or it to be in scientific notation has to be in between 1 and something less than 10.

You probably don't need this answer anymore, sorry!

5 0
4 years ago
What number is 35% of 22
Ierofanga [76]
Go 0.35•22 and you get 7.7
8 0
3 years ago
Read 2 more answers
X-12y=-210 and x-6=90
m_a_m_a [10]

Answer:

x = -30

y = -20

Step-by-step explanation:

x - 12y = 210..... (I)

x - 6y = 90..... (II)

Subtract equation (II) from (I)

- 12y - (-6y) = 210 - 90

-12y + 6y = 120

-6y = 120

Divide through by -6y

Therefore, y = -20

Substitute y = -20 in equation (II)

x -6 (-20) = 90

x + 120 = 90

x = 90 - 120

x = -30

Hope that helped

7 0
3 years ago
Help <br><br> X(-X^4)(-x^4)=
Kruka [31]
X(-x^4)(-x^4)=

The answer is x^9
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