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3 years ago

What is the volume of a hemisphere with a diameter of 12 cm

2 answers:

5 0

I think the answer is 452.2. Formula: 2/3 x 3.14 x 6 (to the third power). 6(to the third power) = 216. 2/3 of 216 is 144. 144 multiplied by 3.14 = 452.2

Airida [17]3 years ago

4 0

137.50cm cubed...diameter is 12 so the radius is 6. Substitute & simplify.

v=4/3πr^3/2
v=4/3π6^3/2
v= 137.50cm^3

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Write the expression in radical form

pickupchik [31]

Inside the radical it is (96b)^3

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3 years ago

6x+1 = -8x-13 pleasee

DiKsa [7]

Answer: $x=-1$

Add 8x to both sides

$6x+1+8x=-8x-13+8x\\14x+1=-13$

Subtract 1 from both sides

$14x+1-1=−13-1\\14x=-14$

Divide both sides by 14

$14x/14=-14/14\\x=-1$

5 0

3 years ago

Read 2 more answers

Each investment matures in 3 years. The interest compounds annually.

Sveta_85 [38]

bearing in mind that 4¾ is simply 4.75.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=600\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=600(1.05)^3\implies A=694.575 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=750\left(1+\frac{0.0475}{1}\right)^{1\cdot 3}\implies A=750(1.0475)^3\implies A\approx 862.032$

well, the interest for each is simply A - P

695.575 - 600 = 95.575.

862.032 - 750 = 112.032.

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3 years ago

What makes a pair linear?

zavuch27 [327]

Answer:

A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

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3 years ago

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Alexandra [31]

Your answer is
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2 years ago