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3 years ago

What is the volume of a hemisphere with a radius of 3.1 in, rounded to the nearest tenth of a cubic inch?

Mathematics

1 answer:

victus00 [196]3 years ago

6 0

FORMULA:

Volume of hemisphere = 2/3πr³

ANSWER:

We are given a hemisphere of radius 3.1inches.

So, Volume = 2/3 × 3.14 × (3.1)³

187.08/3
62.36in³ or 62.4in³ rounded.

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The expression x3 – 64 can be written as (x)3 – (4)3. What is the factorization of x3 – 64?

Bumek [7]

Answer:

Step-by-step explanation:

(x - 4) because a = x and b = 4, subsitute into (a - b)

(x2 + 4x + 16) because if a = x and b = 4, you subsitute them into (a2 + ab + b2) to get your answer

4 0

3 years ago

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

What is the interest rate of each investment if The annual interest on a $17,000 investment exceeds the interest earned on an $8

Butoxors [25]

Solution-

Let's assume, the rate of interest of $8000 is x%,

then the rate of interest of $17000 is (x+0.3x) =1.3x%

Interest earned by $8000,

$i_1=\frac{8000\times x\times 1}{100} =80x$

Interest earned by $17,000,

$i_2=\frac{17000\times 1.3x\times 1}{100} =221x$

According to the question,

$\Rightarrow i_1=i_2+276$

$\Rightarrow 221x=80x+276$

$\Rightarrow 221x-80x=276$

$\Rightarrow 141x=276$

$\Rightarrow x=1.96$

∴ Rate of interest of $8000 is 1.96% and rate of interest of $17000 is (1.3×1.96) =2.55%

3 0

3 years ago

50PTS! What is the area, in square units, of the parallelogram shown below?

yaroslaw [1]

The area of the parallelogram is base times hight.
Multiply 7 by 5 to get your area.
7*5 = 35
The area of the parallelogram is 35 square units.

Hope this helps =)

6 0

4 years ago

Read 2 more answers

Translate the word phrase into a variable expression. The sum of 16 and four times a number

Serga [27]

The answer is 4(x)=16

6 0

4 years ago