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nlexa [21]
3 years ago
5

The latitude value of Toronto is 43.70 degrees, and the longitude value is 79.40 degrees. The latitude value of Melbourne is -37

.81 degrees, and the longitude value is 144.96 degrees. The two cities are degrees apart in latitude. The two cities are degrees apart in longitude.
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0
I don't really know what is it
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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
Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6
AysviL [449]

Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

2x + 3y = 8 ...(1)

x – 5y = 6....(2)

Multiply equation (2) by -2.

-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

2x + 3y -2x + 10y = 8-12

13y = 4

y = 0.307

Put the value of y in equation (2).

x – 5(0.307) = 6

x = 6 + 1.535

x = 7.535

So, the solutions of the given equation are x = 7.535 and y = 0.307.

4 0
2 years ago
Select the GCF of these numbers.
Marysya12 [62]
The Greatest Common Factor (GCF) of 25, 5, 11 and 23, 52, 7 is 1, same with 22,3 and 23, 5 and 13, 193, 232.
4 0
3 years ago
Read 2 more answers
The temperature in a potter's kiln dropped 760 degrees in 4 hours.on what average,how much did the temperature drop per hour?
Elena L [17]
76 divided by 4 is 19. Add a zero and the answer is 190.
Hope this helps you !!
7 0
3 years ago
Solve for x leave answer as decimal <br> 6/5=x/3
777dan777 [17]

Answer:

3 3/5 =x

3 .6 =x

Step-by-step explanation:

6/5 = x/3

Use cross products

6*3 = 5*x

18 = 5x

Divide each side by 5

18/5 = 5x/5

18/5 =x

3 3/5 =x

8 0
3 years ago
Read 2 more answers
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