Question

Find the value of each variable and round to the nearest tenth. Can anyone help me pls????

Answer 1

9) x = 12 cm

10) x = 10.4 ft (Rounded)

11) y = 39.7 in (Rounded)

Explanation:

Just use Pythagorean theorem

Answer 2

Answer and Explanation:

We can solve for x in these questions using the Pythagorean Theorem:

a² + b² = c²,

where a and b are the legs (shorter sides) of a right triangle, and c is its hypotenuse (longest side).

Applying this theorem to the problems at hand:

9. We are using (10 / 2) as one of the legs.

(10 / 2)² + x² = 13²

↓ simplifying division

5² + x² = 13²

↓ subtracting 5² from both sides

x² = 13² - 5²

↓ simplifying the right side

x² = 169 - 25

x² = 144

↓ taking the square root of both sides

x = 12

10.

6² + x² = 12²

↓ subtracting 6² from both sides

x² = 12² - 6²

↓ simplifying the right side

x² = 144 - 36

x² = 108

↓ taking the square root of both sides

x =
`√(108)`

↓ simplifying the square root

`√(108) = √(3 \cdot 3 \cdot 3 \cdot 2 \cdot 2) = (3\cdot 2)√(3) = 6\sqrt3`

x = 6
`\sqrt3`

11.

24² + 33² = y²

↓ simplifying the right side

576 + 1089 = y²

1665 = y²

↓ taking the square root of both sides

y =
`√(1665)`

↓ simplifying the square root

`√(1665) = √(3 \cdot 3 \cdot 5 \cdot 37) = 3√(5 \cdot 37) = 3√(185)`

y = 3
`√(185)`