A cone-shaped tent has a diameter of 12 ft and a height of 6 ft. What is the approximate volume of the tent? Use 3. 14 to approximate pi, and express your final answer as a decimal. Enter your answer as a decimal in the box. Ft³.

Answers

Answer 1

Answer:

226.08 ft³

Step-by-step explanation:

[tex]\textsf{volume of a cone}=\frac{1}{3}\pi r^2h[/tex]
(where [tex]r[/tex] = radius of the base and [tex]h[/tex] = height)

[tex]\textsf{radius}\ r=\frac{1}{2}\ \textsf{diameter}[/tex]

Given:

diameter = 12ft  ⇒  radius = 12 ÷ 2 = 6 ftheight = 6ft[tex]\pi[/tex] ≈ 3.14

[tex]\implies \textsf{volume of tent}=\frac{1}{3}\times3.14 \times 6^2 \times 6=226.08 \ \textsf{ft}^3[/tex]


Related Questions

find the area of a square of the side 8cm ​

Answers

Answer:

64cm squared

All squares side lengths are the same. 8*8=64.

Answer:

64cm²

Step-by-step explanation:

8cm x 8cm = (8cm)²

8 x 8 = 64

cm x cm = cm²

=64cm²

A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.

Which equations could be used to determine the volume, V, of the prism?

Select each correct answer.


(A) V = 8 × 6 × 6

(B) V = 8 × 6 × 3

(C) V = 8 × 9

(D) V = 48 × 3

Answers

Answer:

(B) V = 8 x 6 x 3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is, V = Length x Width x Height cubic units.

V = 8 x 6 x 3 cm 3.

V = 192 cm 3.

Brainliest?!

The answer is (B) V= 8x6x3. Hope this helps.

Need help, I dont know how to do this

Answers

Answer: 126 in

I used a calculator. It matches.

hope this helps =)

126 in
Hope this helps

The points (2, 5) and (6,-3) fall on a particular line. What is its equation in slope-intercept form?

y = -2
x+ ?

Answers

Answer:

y = -2x + 9

Step-by-step explanation:

slope intercept form : y = mx + b

where m = slope and b = y intercept

first let's find the slope

slope formula :

[tex]m = ( \frac{y2 - y1}{x2 - x1} )[/tex]

where the x and y values are derived from the given points

here we are given (2,5) and (6,-3)

(x1,y1) = (2,5) so x1 = 2 and y1 = 5

(x2,y2) = (6,-3) so x2 = 6 and y2 = -3

we now plug these values into the formula

recall formula

[tex]m= ( \frac{y2 - y1}{x2 - x1} )[/tex]

plug in x1 = 2, y1 = 5, x2 = 6 and y2 = -3

m = (-3 - 5) / ( 6 - 2 )

m = (-8)/(4)

m = -2

the slope is -2

now to find the y intercept we plug in the slope and the x and y value of a given point into slope intercept form and solve for b

y = mx + b

given point : (2,5) x = 2 , y = 5, m = -2

5 = -2(2) + b

5 = -4 + b

9 = b

so the equation would be y = -2x + 9

Error Analysis A student added the rational
expressions as follows:
5x 7 5x 7(7) 5x + 49
+
+
x
x + 7
Describe and correct the error the student
12
x+7
Х
x+7
x+7

Answers

Rational expressions are expressions that can be represented as fractions

The solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

How to determine the error

The student operation is given as:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac { 5 x } { x + 7 } + \frac { 7 ( 7 ) } { x + 7 } = \frac{5x + 49}{x + 7}[/tex]

The student's error is that, he multiplied the numerator of 7/x by 7, and he added 7 to the denominator

The correction is as follows:

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x }[/tex]

Take the LCM

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7(x + 7)}{(x + 7)x}[/tex]

Open the brackets

[tex]\frac { 5 x } { x + 7 } + \frac { 7} { x } = \frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Hence, the solution to the sum of the rational expressions is [tex]\frac{5x^2 + 7x + 49}{x^2 + 7x}[/tex]

Read more about rational expressions at:

https://brainly.com/question/21342

what is 29/8 into a improper fraction (Convert mixed number).​

Answers

Answer:

3 5/8

Step-by-step explanation:

divide 29 by 8,

8 times 3 is 24

29-24, remainder is 5


[tex] \rm \bold{ If \: f ( x ) = tan \: x , \: Then \: Show \: That \: f (2x) = \frac{2f(x)}{1 -[f(x)] } }[/tex]






⭐Thenku ~​

Answers

[tex]\qquad \sf  \: \huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: f(x) = \tan(x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \tan(2x) [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 \tan(x) }{1 - { \tan {}^{2} (x) }^{} } [/tex]

replace tan(x) with f(x) in the given equation ~

[tex]\qquad \sf  \dashrightarrow \: f(2x) = \dfrac{2 (f(x) )}{1 - { (f {}^{} (x)) {}^{2} }^{} } [/tex]

The expression that was proved is [tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex]

Double angle of function

Given the trigonometry identity

f(x) = tanx

f(2x)  tan2x

From double angle theorem;

[tex]tan2x=\frac{tanx+tanx}{1-tanx(tanx)} \\tan2x=\frac{2tanx}{1-tan^2x}[/tex]

Since f(x) = tan(x), substitute into the result to have:

[tex]tan2x=\frac{2[f(x)]}{1-[f(x)^2]}[/tex] (Proved)

Learn more on double angle here: https://brainly.com/question/14691

Dr.Purple wants to buy candy bars for all his 143 math students. He buys 9 cases plus 8 more individual bars. How many bars are in each case?​

Answers

There is 15 bars in each case.

Subtract 8 from 143 and you get 135.

Divide 135 by 9 and you get 15 :)

Answer:

143 - 8 = 135

Then 135 ÷ 9 = 15

Answer 15 bars in each case.

martin works in a furniture store. he earns a base salary of $1,800 per month, plus a 15% commission on the amount of furniture sales he makes during the month. if martin needs to earn at least 3,000 each month to pay his expenses, what is the minimum amount of furniture sales he must make each month?

Answers

Answer:

$8000

Step-by-step explanation:

With the provided values you get the equation

1800+.15x=3000

with x being the amount of sales he needs

1. 3000-1800=1200

gives 1200=.15x

2. 1200/.15 = 8000

so x = 8000

Paulo has R$80.00 and Carlos has 2/3of that amount. How many Carlos has? How many do the two have together?​

Answers

Answer:

53 dollars and 33 cents

Step-by-step explanation:

53.33

Paulo has R$80.00 and Carlos has 2/3of that amount. How many Carlos has? How many do the two have together?

We are given

Paulo has R$ 80.00 and Carlos has 2/3 of that amount.

We are asked to find, how much Carlos owns and how much they have together.

Explanation :-

At first, we just need to multiply 80by 2, and then we will divide the value by 3, so we find that:

[tex]\qquad[/tex][tex] \bf \longrightarrow 80 \times 2 = 160[/tex]

[tex]\qquad[/tex][tex] \bf \longrightarrow \dfrac{160}{3} = 53.3[/tex]

Therefore, we find that Carlos has 53.3 R$.

Now to find out how much they have together. We have to add Paul's amount to Carlos' amount for that.

[tex]\qquad[/tex][tex] \bf \longrightarrow 53.3 +80 =133.3[/tex]

Henceforth, they both have 133.3 R$. together.

en una bolsa hay menos de 30 semillas. podemos hacer grupos de 4 semillas sin que sobre ninguna. si hacemos grupos de 5 semillas tampoco sobra ninguna. ¿Cuántas semillas hay en la bolsa?

Answers

Respuesta: 20 Semillas

20 se puede dividir por 4 y serán 5 grupos sin sobrar ninguna.

y

20 se puede dividir por 5 y serán 4 grupos sin sobrar ninguna.

I need help on this problem, if you can help me ill really be grateful. If you could also explain it that would be great.

You are trying to solve for the zeros.

Answers

Answer:

x=3

Step-by-step explanation:

The square root of 225 is 15

so 15=4x+3

    -3        -3

      12=4x

If 12=4x then x=3

the sum of a number squared and five

Answers

Answer:

(x+5^3 is the answer of this question

Example 13, can anyone tell me why the bases can be converted into x and y? ​

Answers

3-4-2-1-8-1-2-9 answer is not ok im not sure

hi please figure this out me and my sister are so confused

Answers

Answer:

y = - 7

Step-by-step explanation:

Since the solution is always the same for y, y equals that solution and does not depend on x.

EASY POINTS

-

What are the values of a positive attitude?

Answers

Answer:

Self-confidence: When you develop a positive attitude, you will start feeling better about yourself. You will treat yourself with more respect and love, and this in turn will boost your confidence levels and inner strength. You will take on new challenges and come out of your self-limiting beliefs

I NEED HELP WITH THIS MATH I DONT GET IT!!!!!​

Answers

Answer:

It's 5

Step-by-step explanation:

-4x+5=-15 (subtract 5)

-4x=-20 (divide by -4)

x=5

Step-by-step explanation:

Work backwards. First, create a function:

f(x) = x

First, instead of adding 5, subtract it:

f(x) = x - 5

Then, divide by -4:

f(x) = (x - 5) ÷ -4

Then plug in -15:

f(-15) = (-15 - 5) ÷ 4

= -20 ÷ -4

= 20 ÷ 4

= 5

Find the number that makes the ratio equivalent to 1:7.

Answers

Answer:

So 2:14 and 3:21 are two ratios that are equal to 1:7. Students are also asked to determine whether two given ratios are equal, by first writing each ratio as a fraction, then writing each fraction in lowest terms. If the two fractions are the same when written in lowest terms, then the ratios are equal.

Step-by-step explanation:

Above

Please Mark brainliest if this helped i need 3 more!

Answer:

2:14 or 3:21

Step-by-step explanation:

because u multiply

A.(-2, -1) is a solution to the linear system B.(-2, -1)is not a solution to the linear system

Answers

Answer:

  A.  (-2, -1) is the solution to the linear system

Step-by-step explanation:

Substitute for x and y and see if the equations are true.

  -1 = 3(-2) +5 . . . . true

  -2 +(-1) = -3 . . . . .true

(-2, -1) is the solution to the linear system.

Which value, when divided by 5/16, results in a quotient of 1?

Answers

Answer:

0.666777

Step-by-step explanation:

not sure not my grade level

___% of $10 = $2
Please help me I can not figure it out
I need it please

Answers

Answer:

20%.

Step-by-step explanation:

Sentence should be:

2 is what percent of 10.

How we get the %:

To get it, we need to find the fraction of 20% (0.2) (2/10)So, we simply do this:2/10.We then get 20%.

2 is 20% of 10.

20% of 10 is 2.

Ricky is 5 years older than Ciara. In 6 years the sum of their ages will be 53. How old is Ricky now

Answers

Answer:

23 years old

Step-by-step explanation:

Given the following question:
Ricky is 5 years older than Ciara...
6 years their ages will equal 53 years of age.

So, we have to remember that in six years their ages will equal 53 and one is five years older than the other.

[tex]23+6=29[/tex]
[tex]18+6=24[/tex]
[tex]29-5=24[/tex]
[tex]29+24=53[/tex]
[tex]29-6=23[/tex]
[tex]=23[/tex]

Which means Ricky as of right now is "23 years of age" and Ciara as of right now is "18 years of age".

Hope this helps.

find the inverse
f(x)=(2x-3)^2 -1

Answers

2 is the answer ok great

hcf of 18 & 24
Lcm of 18 &24​

Answers

Answer: GCF = 6, LCM = 72

Step-by-step explanation:

The prime factorization of 18 is 2*3^2 and the prime factorization of 24 is 2^3*3

Therefore, the gcf is 2*3 = 6.

The lcm is 2^3*3^2 = 8*9 = 72

Can someone help me with this pleaseee

Answers

Answer:

1=C

2=E

3=D

4=B

5=A

Step-by-step explanation:

Maysoun drove 1116 kilometers in 12 hours. At the same rate, how long would it take her to drive 651 kilometers?

Answers

Answer:

7 hours

Step-by-step explanation:

12hrs=1116kms

1hr=1116÷12

1hr=93kms

Xhrs=651kms

Xhrs=(651÷93) ×1

=7×1

=7hrs

does anyone know the answer to ts ?

Answers

Answer: C is your answer

Step-by-step explanation:

Find the surface area of this net.

Answers

Answer:

96.

Step-by-step explanation:

This might be hard, but here we go.

Given equation:

6 * 4 * 46 * 4²

Solve:

6 * 4 * 4= 24 * 4= 96.

Solve 2nd equation:

6 * 4²= 6 * 16= 96.

Surface area = 96 cm².

write the equation of the line?

Answers

Answer: Yellow option

Step-by-step explanation:

The points noted are (0,-2) and (3,-1)

So the slope is (-2--1)/(0-3) = -1/-3 = 1/3

So options blue, green and red are out.

So the only option is yellow

A recipe requires 2 eggs 500 grams of flour and two teaspoons of salt how many eggs are needed if you use 2 kg of flour?

Answers

The explanation is here
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