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MakcuM [25]
2 years ago
11

The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.

Mathematics
1 answer:
aniked [119]2 years ago
6 0

Answer:

108.62ft

Step-by-step explanation:

12348=⁴/3×3.14×r²

r²=12348×¾÷3.14

r²=2,949.36

r=squareroot of 2,949.36

r=54.308

d=2r

d=54.308×2

d=108.616

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Solve for x.
Ivahew [28]
ANSWER

x=\frac{2-\sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}

We have

3x^2-4x-2=0

Since we cannot factor easily, we complete the square.

Adding 2 to both sides give,

3x^2-4x=2

Dividing through by 3 gives

x^2-\frac{4}{3}x= \frac{2}{3}

Adding (-\frac{2}{3})^2 to both sides gives

x^2-\frac{4}{3}x+(-\frac{2}{3})^2= \frac{2}{3}+(-\frac{2}{3})^2

The expression on the Left Hand side is a perfect square.

(x-\frac{2}{3})^2= \frac{2}{3}+\frac{4}{9}

\Rightarrow (x-\frac{2}{3})^2= \frac{10}{9}

\Rightarrow (x-\frac{2}{3})=\pm \sqrt{\frac{10}{9}}

\Rightarrow (x)=\frac{2}{3} \pm {\frac{\sqrt{10}}{3}

Splitting the plus or minus sign gives

x=\frac{2- \sqrt{10}} {3}

or

x=\frac{\sqrt{10}+2} {3}
3 0
3 years ago
Read 2 more answers
Samantha moved out of her house and sold some tables and chairs. She sold 30 chairs and tables and made a total of 1640. If each
azamat
14 tables and 16 chairs
8 0
3 years ago
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A restaurant can seat 100 people. It has booths that seat 4 people and tables that seat 6 people. So far 5of the booths are full
Pachacha [2.7K]
How many booths and tables are there altogether?
6 0
3 years ago
Solve the problem. Make sure your answer is in simplest form. 3/16 x 4/21 = ?
Irina18 [472]

Answer:

\frac{1}{28}

Step-by-step explanation:

The result is given by means of some algebraic handling:

\frac{3}{16}\times \frac{4}{21}

\frac{12}{336} - Multiplication of rationals.

\frac{6}{168} - Dividing each term by 2.

\frac{3}{84} - Dividing each term by 2.

\frac{1}{28} - Dividing each term by 3.

8 0
3 years ago
A researcher determines that students are active about 60 + 12 (M + SD) minutes per day. Assuming these data are normally distri
rjkz [21]

Answer:

The correct option is (b).

Step-by-step explanation:

If X \sim N (µ, σ²), then Z=\frac{X-\mu}{\sigma}, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z \sim N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

The mean and standard deviation of the active minutes of students is:

<em>μ</em> = 60 minutes

<em>σ </em> = 12 minutes

Compute the <em>z</em>-score for the student being active 48 minutes as follows:

Z=\frac{X-\mu}{\sigma}=\frac{48-60}{12}=\frac{-12}{12}=-1.0

Thus, the <em>z</em>-score for the student being active 48 minutes is -1.0.

The correct option is (b).

4 0
3 years ago
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