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Mamont248 [21]
3 years ago
12

What’s the value for x

Mathematics
2 answers:
Tomtit [17]3 years ago
7 0

x=624. You can check if it is true by substituting x as 624. You will get 26

kirill [66]3 years ago
5 0

2/3x - 5/8x = 26

Make 2/3 and 5/8 have common denominators in order to subtract the two fractions.

The least common denominator of the two fractions is 24. Multiply 2/3 by 8/8 and multiply 5/8 by 3/3.

  • 2/3 * 8/8 = 16/24
  • 5/8 * 3/3 = 15/24

Rewrite the equation using the fractions with common denominators.

16/24x - 15/24x = 26

Subtract the numerators straight across and keep the same denominator. You are left with:

1/24x = 26

Divide both sides by 1/24.

<h3>x = 624</h3>
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Read 2 more answers
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
2 years ago
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