This is the Pythagorean theorem where the 2 legs of a triangle squared add up to equal the squared hypotenuse (a^2 + b^2 = c^2)

The equation would be
12^2 + 5^2 = x^2

144 + 25 = 169

The square root of 169 = 13

Answer - 13 ft

3 0

3 years ago

A cube has a volume of 1331 cm3. What is the area of one of its faces.

Vinvika [58]

Area = 726 cm squared

3 0

3 years ago

Z varies directly as x and y, z = 6 when x=2 and y = 6. Find the value of z when x = 3 and y = 8

Monica [59]

Answer:

Step-by-step explanation:

This is a joint variation problem:

z varies directly as x and y

Interpreting this;

z ∝ xy

Therefore;

z = kxy

z = 6, x = 2, y = 6

Now find k,

6 = 2 x 6 x k

6 = 12k

k = $\frac{1}{2}$

To find the value of z;

x = 3, y = 8

z = $\frac{1}{2}$ x 3 x 8 = 12

3 0

3 years ago