All categories

1 year ago

I need help with this math problem

Mathematics

2 answers:

makkiz [27]1 year ago

8 0

<h3>❍ Question -:</h3>

A cone has a base that is 21.9 feet squared and a height that is 6.1 feet. Find its volume in cubic feet.

<h3>❍ Explanation -:</h3>

In this question we are provided with the base of the cone that is 21.9 feet and height of the cone is 6.1 feet. We are asked to calculate the volume of the cone.

We know,

$\star \: \small \underline{\boxed{ \rm{ Volume_{(cone)} = \dfrac{1}{3} × b × h}}}$

Where,

b stand for base
h stand for height

Substituting the values we get

$\small\sf{ Volume_{(cone)} = \dfrac{1}{3} × 21.9 × 6.1}$

$\rightarrow \small\sf{ Volume_{(cone)} = \dfrac{1}{ \cancel{3}} × \cancel{ 21.9} \: 7.3 × 6.1}$

$\rightarrow \small\sf{ Volume_{(cone)} = 7.3 × 6.1 = 44.53}$

Volume of the cone = 44.53 feet³.

const2013 [10]1 year ago

4 0

Answer:

44.5 ft³

Step-by-step explanation:

The formula for the volume of a cone is ...

V = 1/3Bh

where B is the base area and h is the height.

Using the given dimensions, we find the volume to be ...

V = 1/3(21.9 ft²)(6.1 ft) = 44.53 ft³

The volume of the cone is about 44.5 cubic feet.

You might be interested in

The lines shown below are parallel. If the green line has a slope of -3/7, what is

BartSMP [9]

Answer: the slope of green line = $-\frac37$

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = $-\frac37$

Then, the slope of green line = $-\frac37$ [Slopes of two parallel lines are equal]

Hence, the slope of green line = $-\frac37$

7 0

2 years ago

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t

soldi70 [24.7K]

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

8 0

2 years ago

What’s the sum of c and twice d?

Naily [24]

Answer:

c + 2g

Step-by-step explanation:

g + g = 2g

c + 2g

4 0

2 years ago

Read 2 more answers

10. A company finds that 45% of first-time visitors to its website do not buy any of its products. If there are 75 first-time vi

vekshin1

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

45% of first-time visitors to its website do not buy any of its products, hence 55% buy, that is, p = 0.55.

There are 75 first-time visitors on a given day, hence n = 75.

The probability that exactly 36 of them buy a product is P(X = 36), hence:

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

$P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044$

More can be learned about the binomial distribution at brainly.com/question/24863377

8 0

1 year ago

If point F is the midpoint of segment DE, which statement is true?

FinnZ [79.3K]

Segment DF is 1/2 the length of Segment DE. Since the entire segment is DE and it's midpoint is at F, the segment would be broken into 2 equal segments in one. Segment DF and FE. Segment DF is congruent to Segment FE.

5 0

3 years ago