Ask question

Ask question

All categories

3 years ago

5

Raphael's neighborhood kid's pool is shaped like a square with an area of 120ft2. What is the approximate side length of the poo

l? (Between which two whole numbers)

1 answer:

slavikrds [6]3 years ago

7 0

Answer:

The approximate side length is between 10 ft and 11 ft

Step-by-step explanation:

Here, we are interested in calculating the approximate length of the square shaped pool.

Mathematically, the area of a square is s^2 where s represents the length of its side

in this case; s^2 = 120

s = √120

s = 10.95 approximately

So the length of the side of the square is between 10 and 11 ft

You might be interested in

Find the area of a circle whose circumference is 18.84.

ivann1987 [24]

Answer:

310.23

Step-by-step explanation:

circumference is radius * 2

to get radius from circumference, divide circumference by 2

18.84 / 2 =9.42

area for circle:

pi * r^2

3.14 * 9.94^2

3.14 * 98.8

310.23

7 0

2 years ago

Find the volume of a baseball if the diameter is 2.86 inches

tatiyna

Answer:

8.1796

Step-by-step explanation:

2.86 x 2.86 = 8.1796

5 0

3 years ago

For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

or

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

$x^2 = \frac{896 z^{15}}{14 z^{15}} = 64$

or

$x = \sqrt{64}$

Simplify:

x = 8

Therefore, the value of x is, 8

5 0

3 years ago

Carl is building a fish tank for his fish. Carl wants the fish tank to be a cube. He knows his fish need 144 cubic inches of wat

Flura [38]

Answer:

you need to multiply something

5 0

3 years ago

Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

6 0

3 years ago