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Eva8 [605]
3 years ago
6

What is the answer to this problem?

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3

we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
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I want to install carpet in my living room, which is 200 inches long and 50 ft wide. The carpet is sold for 5000 naira per yard2
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Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units.  I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

7 0
3 years ago
Solve each single-step equation. Show your work. -15+n=-9
Serggg [28]

Answer:

6

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

3 0
3 years ago
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A colleague has been tutoring six students in 11th grade to prepare for the ACT. This colleague has asked you to evaluate the pe
marissa [1.9K]

We have been given that a colleague has been tutoring six students in 11th grade to prepare for the ACT. Student scores were as follows: 20, 18, 16, 15, 23, 20. We are asked to find the mean of the ACT scores.

We will use mean formula to solve our given problem.  

\text{Mean}=\frac{\text{Sum of terms}}{\text{Number of terms}}

\text{Mean}=\frac{20+18+16+15+23+20}{6}

\text{Mean}=\frac{112}{6}

\text{Mean}=18.66666

Upon rounding to nearest whole number, we will get:

\text{Mean}\approx 19

Therefore, the mean of the ACT scores is 19 and option 'c' is the correct choice.

5 0
3 years ago
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s2008m [1.1K]

Answer:

232 total votes

Step-by-step explanation:

change 80% to a decimal.... .8 and then multiply that by 290

6 0
3 years ago
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2.) Johnny has half a tablespoon of food coloring and a third a tablespoon of vanilla.
LenKa [72]

Answer: You'll have 1/6 more food coloring than vanilla.

Step-by-step explanation:

You need to find the common denominator of 1/3 and 1/2, so multiply each denominator by each other. You'll have 3/6 food coloring and 2/6 vanilla, which means you'll have 1/6 more food coloring than vanilla.

4 0
3 years ago
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