Find the volume of the following cone. Area of base = 54 cm?

A) 180
B) 422.54
C) 513.33

Answers

Answer 1

Answer:

The volume of the cone is of 18h, in which h is the height of the cone.

Step-by-step explanation:

Volume of a cone:

The volume of a cone with base area [tex]A_b[/tex] and height h is given by:

[tex]V = \frac{A_bh}{3}[/tex]

Area of base = 54 cm

This means that [tex]A_b = 54[/tex] and thus:

[tex]V = \frac{54h}{3} = 18h[/tex]

The volume of the cone is of 18h, in which h is the height of the cone.


Related Questions

Solve for the variable then find the missing angle.

Answers

Answer:

Step-by-step explanation:

40+40=3x+20(sum of two interior opposite angle is opposite to the exterior angle formed)

=80=3x+20

=80-20=3x

=60/3=x

=20=x

substitute the value of x

=3x+20

=3*20+20

=60+20

=80

v+71=107 degree(sum of two interior opposite angle is equal to the external angle formed)

=v=107-71

=v=36 degree

Which expression represents 1/64

a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)

Answers

Answer:

The answer is B

Hope this helps

Brainliest??

7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?

Answers

You can make 32 burgers out of 10 2/3 pounds

Anna has 80 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?

Answers

Answer:she has 20 pennies because

Step-by-step explanation:80 divide by 4 = 20

I WILL MARK BRAINLIEST (PICTURE INCLUDED)A right triangle ABC is shown below: А 3 units B 5 units The area of the triangle above will equal one half of a rectangle that is 5 units long and units wide. (Input only whole numbers, such as 8.)​

Answers

is it 3? this is a 3,4,5 triangle if that helps

Hurry which one
A.144
B.204
C.408
D.1200

Answers

Answer:

B) 204

Step-by-step explanation:

Rectangle 12 * 12 = 144

+

(2) Triangle A=h (b/2) = 12*(5/2) = 30 each

If f(x)=2x+17, then f(12)=

Answers

Answer:

41

Step-by-step explanation:

Simply substitute 12 to the x:

f(12)=2(12)+17

f(12)=24+17

f(12)=41

Please help due tomorrow

Answers

Answer:

Here's What you do:

Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)

There's a picture attached on how a perpendicular lines should look like.

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

What is the inverse of the function f(x)= -1/2 (x+3)

Answers

Answer:

-2x-3

Step-by-step explanation:

See the image below:) you can use the app photo math, you just take a picture of the problem and it gives you the answer and explains the steps.

A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.

Answers

Answer:

Break even unit = 800

Break even point = $320,000

Step-by-step explanation:

Given:

Amount invested (Fixed cost) = $200,000

Each software cost (variable cost) = $150

Selling price = $400

Find:

Break even unit

Computation:

Assume;

Break even unit = a

Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]

Total cost = 200,000 + 150a

Total revenue = Selling price[Break even unit]

Total revenue = 400a

So,

400a = 200,000 + 150a

250a = 200,000

Break even unit = 800

Break even point = 400a

Break even point = 400(800)

Break even point = $320,000

WILL GIVE BRAINLIEST TO CORRECT ANSWER

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1 - 1 ounces cach time he shampoos his dog and the bottle ol shampoo ongiinally contained ounces. Which is the correct equation and value of x, the number of times Nico can bathe hus dos using this one boule?​

Answers

Answer:

Amount of shampoo in a bottle = 30 \frac{1}{2} 30

2

1

ounces

Amount of shampoo Nico uses in one bathe for his dog = 1 \frac{1}{4} 1

4

1

Since 3 ounces of shampoo is spilled out, the amount of shampoo left in the bottle will be = 27 \frac{1}{2} 27

2

1

If Nico can Bathe his dog x times using this bottle, the value of x can be written as:

x= \frac{27 \frac{1}{2} }{ 1\frac{1}{4} } x=

1

4

1

27

2

1

Using this equation we can find the number of times Nico can use the shampoo to Bathe . The value of x comes out to be 22.

Thus, Nico can Bathe his dog 22 times using the bottle

Nico dropped the brand new bottle of dog shampoo and 3 ounces spilled out. He measures 1 1/4 ounces each time he shampoos his dog and the bottle of shampoo originally contained 30 1/2 ounces. Which is the correct equation and value of x, the number of times Nico can bathe his dog using this one bottle?

mark as brainliest

Pleaseee answer thisss!!

Answers

76+2x=180

180-76=2x

104=2x

X=52

Answer:

x=52

Step-by-step explanation:

360=76+90+90+2x

2x=360-256

x=104/2

x=52

Four times the difference of a number and 16.

Answers

Answer:

4(n-16)

Step-by-step explanation:

4 Four

( ) Times

n number

16 16

- difference

A sociologist studying fertility in France and Switzerland wanted to test if there was a difference in the average number of babies women in each country have. The sociologist obtained a random sample of women from each country. Here are the results of their test:
Country Sample Size n Mean SD France 100 1.85 1.3 Switzerland 100 1.65 1.2
At the alfa-.05 level of significance, is there sufficient evidence to conclude that there is a difference in the average number of babies women in each country have?
a. Yes, test statistics z- 1.13 and p-vaue is.125
b. No, Test statistics z= 1.13 and p-value is .258
c. Yes, the test statistic Z- 1.13 and p-valve is 258
d. Yes, test statistics T 1.13 and p-value is .258

Answers

Answer:

b.

Step-by-step explanation:

From the given information:

Null and alternative hypothesis is:

[tex]H_o : \mu _{france} = \mu_{switzerland} \\ \\ H_a : \mu _{france}\neq \mu_{switzerland}[/tex]

Given:

Number of babies   France    Switzerland

Sample size (n)         100                100

Mean                         1.85               1.65

SD                              1.3                 1.2

The test statistics can be computed as:

[tex]Z = \dfrac{\bar x_{france} - \bar x_{switzerland}}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2}}}[/tex]

[tex]Z = \dfrac{1.85- 1.65}{\sqrt{\dfrac{1.3^2}{100}+\dfrac{1.2^2}{100}}}[/tex]

[tex]Z = \dfrac{0.2}{\sqrt{0.0313}}[/tex]

[tex]Z = 1.130[/tex]

degree of freedom = [tex]n_1 + n_2 -2[/tex]

= 100 + 100 -2

= 200 -2

=198

At 0.05, using the [tex]t_{dist}[/tex] table;

P-value = [tex]t_{dist} (1.130,198,2)[/tex]

P-value = 0.258

Since P-value is greater than ∝ = 0.05, We fail to reject [tex]H_o[/tex]

We conclude that there is No statistical difference at the 0.05 level. Hence [tex]\mu_{france} \neq \mu_{switzerland}[/tex]

The significance level shows that there is no sufficient evidence to conclude that there is a difference in the average number of babies as B. Test statistics z= 1.13 and p-value is 0.258

What is a significance level?

It should be noted that a significance level simply means the probability that an event could have taken place by chance.

In this case, the test statistic will be:

= (1.85 - 1.65)/(✓1.3²/100 + 1.2²/100)

= 1.13

This is a two tailed test. Therefore, the p value will be:

= 2(1 - 0.87076)

= 0.258

Therefore, the p value is more than 0.05 and there's no sufficient evidence to reject the null hypothesis.

Learn more about significance level on:

https://brainly.com/question/4599596

Choose the correct expression for each Written in word form.8 less than the product of 3 and j

Answers

Answer:

3j - 8

Step-by-step explanation:

An ice cream company did a survey among high school students. It was found that 75 students liked vanilla ice cream and 42 of those students liked chocolate ice cream also. There were 18 students who did not like vanilla ice cream but liked chocolate ice cream. There were 7 students who did not like either vanilla ice cream or chocolate ice cream.
Using a two-way table, predict the number of students who would like chocolate ice cream when 200 high school students participate in the survey. (5 points)
100
40
120
60

Answers

Answer:

Step-by-step explanation:

75             42

vanilla    choco

21-14d factor the expression using gcf

Answers

Answer:

7(3 - 2d)

Step-by-step explanation:

21 - 14d

7 is the lagerst common factor

7(3 - 2d)

Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?

-1/6 of the eggs into Tank A

-4/9 of the eggs into Tank B

Answers

Answer:

Sydney is incorrect

Step-by-step explanation:

We cannot start adding Tanks A and B because they have a different denominator.

So we have to find the Least Common Denominator (LCD)

The LCD is 18 so...

[tex]\frac{2}{3} =\frac{12}{18}[/tex]  

I'm sorry I gtg to class...

Multiply 0.06 by 0.021​

Answers

Answer:

Just multiply:

= 0.06×0.021

= 1.26

is this the right answer I don't even know my answer

Answer:

0.00126

Step-by-step explanation:

If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.

Hope that this helps!

Need help! Algebra 2. Sorry for the weird pattern on the pic

Answers

Answer: D

How to: Find the asymptotes.

Vertical Asymptotes: x = − 1

Horizontal Asymptotes: y = 0

No Oblique Asymptotes

Have a great day and stay safe !

Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter

Answers

Answer:

x=20

Step-by-step explanation:

Both Angles have the same value, as they are opposite angels.

Set your formula up as

5x+20=3x+60

5x=3x+60-20

2x=40

x=40/2

x=20

Find all solutions
for cotx=-1​

Answers

Answer:

[tex]\cot(x) = -1[/tex] whenever [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] radians, where [tex]k[/tex] could be any integer ([tex]k \in \mathbb{Z}[/tex], which includes positive whole numbers, negative whole numbers, and zero.)

Step-by-step explanation:

[tex]x = 45^\circ[/tex] (as in isoscele right triangles) would ensure that [tex]\displaystyle \cot(x) = 1[/tex]. Since cotangent is an odd function, [tex]\cot(-45^\circ) = -1[/tex].

Equivalently, when the angles are expressed in radians, [tex]\cot(-\pi / 4) = -1[/tex].

The cycle of cotangent is [tex]\pi[/tex] (or equivalently, [tex]180^\circ[/tex].) Therefore, if [tex]k[/tex] represents an integer, adding [tex]k\, \pi[/tex] to the input to cotangent would not change the output. In other words:

[tex]\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1[/tex].

Hence, [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] would be a solution to [tex]\cot(x) = -1[/tex] whenever [tex]k[/tex] is an integer.

Since [tex](-\pi / 4)[/tex] is the only solution to this equation in the period [tex](0,\, \pi)[/tex], all real solutions to this equation would be in the form [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] (where [tex]k[/tex] is an integer.)

The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.

Answers

y = 0.012x + 57,000

12% translates to 0.012. That number is in front of the x because it changes yearly.

The 57,000 is added afterwards (b) because it was there from the beginning

What is the unit of temperature to be used when answering gas law problems?

Answers

Answer:

Kelvin is used when answering gas law problems.

A survey shows that in one year, the average number of bilingual employees in an office was 12. Assume that the standard deviation is 3 and the number of bilingual employees is Normally distributed. Include an appropriately labeled and shaded Normal curve for each part.

Required:
a. What percentage of offices have more than 12 bilingual employees?
b. What percentage of offices have less than 10 bilingual employees?
c. What percentage of offices have between 8 and 14 bilingual employees?

Answers

Answer:

b

Step-by-step explanation:

Which pair of expressions below are equivalent (the same)?
1. 2x + 2y and 4xy
2. 3(x + 4) and 3x + 12
3. 7x + 6x and 42x
4. 5x + x + x and 6x
Please help it’s a test !

Answers

The answer is 2
3(x+4) is equal to 3x+12

Answer:

2.

Step-by-step explanation:

2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12

Q11. A car uses 25 litres of petrol to travel 176 miles. How far can the car travel using 44 litres
?
[2]
Duration and how far can the car travel using
of petrol? O!!​

Answers

Step-by-step explanation:

you would do 25 / 25 and 176 / 25 and you would get 1 petrol and 7.04 miles

then 1 times 44 and 7.04 times 44 and that would be 44 petrol and 309.76 miles

A local college is forming a seven-member research committee having one administrator, three faculty members, and three students. There are five administrators, 14 faculty members, and 18 students in contention for the committee. How many seven-member committees are possible

Answers

Answer:

1485120

Step-by-step explanation:

Since the order of arrangement does not matter, we use combination :

Recall :

nCr = n! ÷ (n-r)!r!

For administrator : 1 out of 5 :

5C1 = 5! ÷ (5-1)!1!

For faculty members : 3 out of 14 :

14C3 = 14! ÷ (14 - 3)!3!

For students : 3 out of 18 :

18C3 = 18! ÷ (18 - 3)!3!

5C1 * 14C3 * 18C3 = 1485120

Quesion is in picture

Answers

Answer:

answe is option 3 is currect ans

Answer:

(x + 1)(x + 2

________

      2

Step-by-step explanation:

Good luck.

A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost as a function of the hours x?
A. Y=3x+8
B. Y=2x+12
C. Y=2x for x of 4 or less / y=2x+3x for x of 5 or more
D. Y=2x for x of 4 or less / y=8x+3(x-4) for x of 5 or more

Answers

Answer:

A.

Step-by-step explanation:

2/hour

2×4 hours =8 dollars ;

Then 3x(because we dk the time taken, so replaced by x and then times 3)

Equation =8+3x

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