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3 years ago

How do I find the volume of a cone? Round to the nearest whole number.

Mathematics

1 answer:

Papessa [141]3 years ago

4 0

Image is blurred, so I must assume that the radius of the base is 9 yd and that the height of the cone is 40 yd.

Volume of a cone formula: V = (1/3)(area of base)(height of cone)

Here, this volume is V = (1/3)(pi*81*40) yd^3, or V = 1080 pi yd^3.

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Serena has a summer job as a lifeguard at the neighborhood pool. She earns $240 a week. By rounding her weekly income to the nea

Nesterboy [21]

<h2>Answer: B </h2>

Step-by-step explanation:

If your rounding her weekly income you would go down to $200 then take that times 11 for each week, giving you $2,200 roughly

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3 years ago

AB and CD are two chords in a circle intersected in H and Ah=x And HB=8 and CH=4 and HD=7 then x=?

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3 years ago

An apartment complex has a floor plan with dimensions shown. To effectively air condition a room, 20 BTU’s are required for ever

kifflom [539]

12,900 BTU's are required to cool the room effectively.

Step-by-step explanation:

Step 1:

We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.

It is made up of a semi-circle a rectangle, and a trapezoid.

Step 2:

The area of a semi-circle $=\frac{ \pi r^{2} }{2} .$

Here, the diameter is 20 feet so the radius is 10 feet.

The area of the semi-circle $=\frac{ \pi r^{2} }{2} =\frac{ (\pi) (10^{2}) }{2} = 157.079$ square feet.

The area of a rectangle $= (l)(w).$

The length of the rectangle is 22 feet and the width is 20 feet.

The area of a rectangle $= (l)(w) =(22)(20) = 440$ square feet.

The area of a trapezoid $=\frac{a+b}{2} (h).$

Here $a=12, b= 20, h= 3$ .

The area of a trapezoid $=\frac{12+20}{2} (3) = 48$ square feet.

Step 3:

The total area of the floor plan $=157.079+440+48 = 645.079$ square feet.

If 20 BTU's are required for a single square foot,

The number of BTU's for 645.079 square feet $= (645.079)(20)=12,901.58$ BTU's.

Rounding this off, we get 12,900 BTU's required to cool the room effectively.

7 0

3 years ago

Answer the following questions and round your answers to 2 decimal places. 84% of all Americans live in cities with population g

nignag [31]

Answer:

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they live in cities with population greater than 50,000 people. Or they do not. The probability of a person living in a city with population greater than 50,000 people is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

84% of all Americans live in cities with population greater than 50,000 people.

This means that $p = 0.84$

If 50 Americans are selected at random, Find the probability that Exactly 42 of them live in cities with population greater than 50,000 people.

This is P(X = 42) when n = 50. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 42) = C_{50,42}.(0.84)^{42}.(0.16)^{8} = 0.1523$

15.23% probability that exactly 42 of them live in cities with population greater than 50,000 people.

4 0

3 years ago

The function g(x) = x2 is transformed to obtain function h:

Lady_Fox [76]

Step-by-step explanation:

look at the graph and translate. and the answer is D

6 0

3 years ago

Read 2 more answers