An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?

Answers

Answer 1

Answer:

10 ft

Step-by-step explanation:

Given:

Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²h

Plug in the values given:

120π=1/3π(6²)h

Cancel π from both sides and simplify:

120 = 1/3 36h120 = 12h

Answer:

Height = 10
Answer 2

The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

An orange cone has a exact volume of 120π ft³.

And, The radius = 6 feet

Now, We know that;

Volume of cone = πr²h/ 3

Hence, We get;

⇒ 120 = 3.14 × 6² × h / 3

⇒ 120 = 3.14 × 12h

⇒ 120 = 37.68h

⇒ h = 3.18 feet

Thus, The height of the cone if the radius is 6ft is,

⇒ h = 3.18 feet

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Related Questions

HELPP PLEASE!!!! I have a screenshot of the question because I cant copy and paste it!

Answers

2³+3²-3×4-5²÷5+(7×4)

= 8+9-3×4-25÷5+7×4

=8+9-12-5+28

=28

A simple random sample of 60 is drawn from a normally distributed population, and the mean is found to be 28, with a standard deviation of 5. which of the following values is within the 95% confidence interval (z-score = 1.96) for the population mean? remember, the margin of error, me, can be determined using the formula m e = startfraction z times s over startroot n endroot endfraction. the value of 26, because it’s not greater than 26.7 and less than 29.3. the value of 27, because it’s greater than 26.7 and less than 29.3. the value of 32, because it’s greater than 23 and less than 33. the value of 34, because it’s not greater than 23 and less than 33.

Answers

The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

What is a confidence interval?

In statistics, a confidence interval is a range to estimate for unknown terms.

The most common level is the 95% confidence interval.

It can be calculated by

CI = Mean ± margin of error.

α = 1 - 0.95 = 0.05

α/2 = 0.025

z(0.025) = 1.96

We need to find the [tex]\frac{\sigma}{\sqrt{n} }[/tex]

[tex]\frac{5}{\sqrt{60} }[/tex] = 0.645

So,

[tex]z \times \frac{\sigma}{\sqrt{n} }[/tex] = 1.96 × 0.645

CI =1.26

C.I= 28±1.2652

Upper limit = 28+1.2652

                  =29.2625

Lower limit =28-1.2652

                   =26.7348

Hence, The value of 27 is within 95% confidence interval because it is greater than 26.7 and less than 29.3.

Learn more about confidence intervals;

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Answer:

B

Step-by-step explanation:

The length of a rectangular frame is represented by the expression 2x 4, and the width of the rectangular frame is represented by the expression 2x 10. write an equation to solve for the width of a rectangular frame that has a total area of 120 square inches. 2x2 20x − 80 = 0 4x2 28x 40 = 0 4x2 28x − 80 = 0 x2 8x 20 = 0

Answers

The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.

What is the equation that can be used to solve for the width?

A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

(2x + 4) x (2x + 10) = 120

Expand the brackets

4x² + 20x + 8x + 40 = 120

Add similar terms

4x² +28x + 40 = 120

4x² +28x - 80 = 0

Divide through by 2

2x² + 14x - 40 = 0

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Please help me. I will mark brainliest

Answers

Answer:

Step-by-step explanation:

How many members did not vote there is 75% and 60 people?

Answers

Answer:

15

Step-by-step explanation:

if 75% voted that is 45 people meaning 15 did not vote.

who ever can answer this qustion will be marked as brainlest and will get 30points

Answers

Hope this helps ..... :)

3. Nine more than the quotient of a number and 4 is 12.​

Answers

Answer: x = 12

Step-by-step explanation:

9 + (x/4) = 12

x/4 = 3

x = 12

Using the following expression. Are there any values of x that makes the expression undefined? Explain your reasoning.

Answers

Answer

x=-2

Step-by-step explanation:

If x was equaled to -2 the outcome would be infinity, does this help at all?

Answer:

Step-by-step explanation:

Yes, there are certain values of x that makes given expression undefined in the set of real numbers.

x + 2 ≤ 0 ⇒ x ≤ - 2

If x ∈ ( - ∞ , - 2 ] , given expression is undefined.

Identify the x-intercept and the y-intercept of the graphs.

Answers

Answer:

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

Step-by-step explanation:

y-intercept: the point where the graph intersects the y-axis.

x-intercept: the point where the graph intersects the y-axis.

1st picture:

y-intercept = -2

x-intercept = 3

2nd picture:

y-intercept = 1

x-intercept = 2

help its for calculus

Answers

Answer:

the first one

Step-by-step explanation:

Answer:

its 1/sqrt{5}+2

Please someone help i dont understand

ill upload the rest in a second

Answers

Question 5:
T1=-11+6(1-1)=-11
T2=-11+6(2-1)=-5
T3=-11+6(3-1)=1
.
.
.
Tn=-11+6(n-1)//
Option one is correct

Question 6:
A7=-9-4(7-1)
=-33//

Question 7:
Tn=0.5*4^n-1
Therefore T6=0.5*4^6-1=512//
Moreover 0.4/2=1/4, 2/8=1/4…
Therefore option two is correct

Question 4:
A2=A(2-1)+5=A1+5=-24+5=-19
.
.
.
A4=A(4-1)+5=-9//

The radius of a circle is 11 miles. What is the circle's circumference?

Answers

Answer:

69

Step-by-step explanation:

The formula for a circumference with the radius is C=2πr=2·π·11≈69.11504mi.

if a=6, evaluate the following expression:
10+a/4

Answers

Answer:

11.5

Step-by-step explanation:

10 + a / 4    if a = 6

10 + 6 / 4

10 + 1.5

11.5

I hope this helps! Have a lovely day!! :)

Answer:

23/2 or 11.5

Step-by-step explanation:

Simplify 6/4 --> 3/2

Convert 10 into a fraction --> 20/2

20/2 + 3/2 = 23/2

3. The principal wants to know if students at Meadows Senior High School are in favor of a new dress code at their
school. The principal is not able to ask the opinion of every student at the school, so she needs to select an
appropriate sample of the students to represent the high school. Select which sample of students the principal
should choose.
A. Students randomly selected from a list of all students at the school.
B. Students sitting at randomly selected tables in the library.
C. Students she selects from the hall way between classes.
D. Students selected by the teachers.

Answers

Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

B.Students sitting at randomly selected tables in the library

SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!

Answers

u²= s²+t²

= 4.3²+4.9²

= 42.5

u= V42.5

= V170 /2

≈6.52

Answer:

6.519 cm

Step-by-step explanation:

Mmkay, so, you have to use the Pythagorean Theorem to find the actual length, which is a^2 + b^2 = c^2

a = 4.9 cm

b = 4.3 cm

4.9^2 is 24.01

4.3^2 is 18.49

Now add the two together:

24.01 + 18.49 = 42.5

Finally, we need to find the square root of 42.5

sqrt(42.5) = 6.519 cm

(rounding to nearest thousandth cuz it said so right by the answer box lol)

Hope this helped :D

A metal with a specific heat of 0.780 J/g oC requires 940 J of heat to raise the temperature (the change in temperature) by 15 oC. What is the mass of the metal?
SOMEONE HELP PLEASE GIVING BRIANLEST THANK YOU

Answers

Step-by-step explanation:

Q = msdt

or, 940 = m* 0.780* 15

or, 940 = 11.7m

or, 940/11.7 = m

m = 80.341

Therefore the mass of the metal is 80.341g.

Examine the following piecewise function.

Which statements are true?
Select all that apply.

1.The function is increasing over the interval 2≤x≤3.

2.The function is increasing over the interval −2≤x≤2.

3.The function is increasing over the interval −8≤x≤−2.

4.The function is decreasing over the interval 3≤x≤7.

5.The function is constant over the interval −2≤x≤2.

Answers

A piecewise function is a function that's simply built from pieces of different functions over several intervals.

What is a piecewise function?

Your information is incomplete as the function isn't given. Therefore, an overview will be given. It should be noted that a piecewise function simply means a function that's defined by multiple sub functions.

In this case, each sub-function applies to different interval in the domain as it's way of expressing the function.

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Its easy pls help{6x+4y=14}{9x+6y=c}which value of c represents a system with infinitely many solutions?

Answers

The system of equations 6x+4y=14 and 9x+6y=c are linear equations

The value of c that makes the system have infinitely many solutions is 21

How to determine the value of c?

The system of equations are given as:

6x+4y=14

9x+6y=c

Divide through the second equation by 3

3x + 2y = c/3

Multiply through by 2

6x + 4y = 2c/3

Subtract the first equation from the above equation

6x - 6x + 4y - 4y = 2c/3 - 14

Evaluate the differences

2c/3 - 14 = 0

Add 14 to both sides

2c/3 = 14

Multiply by 3/2

c = 21

Hence, the value of c that makes the system have infinitely many solutions is 21

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Determine the equation of the circle graphed below.
10
-10 -8 -6
-4
-2
8
6
4
N
N
+
69
O
2
6
8 10

Answers

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

original price $18 and percent of discount is 65% what is the sale price

Answers

Answer:

$6.3

Step-by-step explanation:

Original price = $18

Percentage Discount = 65%

Discount = 18*65% = 18*0.65 = $11.7

Sale Price = Original price - Discount

= $18 - $11.7

= $6.3

A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 in. The slant height of the pyramid is 93.8 in. What is the height of the​ pyramid?

Answers

The height of the pyramid is 91.686422 in.

what is 1/4x-6=-10 step by step please help me

Answers

Answer:

x = -16

Step-by-step explanation:

[tex]\frac{1}{4}x-6=-10 < ==add\ 6\ to\ both\ sides\\ \ \ \ \ \ \ \ \ +6 \ \ \ \ \ \ \ \ +6\\\\\frac{1}{4}x=-4 < ==multiply\ both\ sides\ by\ 4\\4(\frac{1}{4}x=-4)\\\\x=-16 < ==final\ answer[/tex]

Hope this helps!

A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.

Write a linear function to represent the total cost,y,a new customer would pay for x months of service

Answers

y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month

Remove the largest possible common factor. Check your answer by multiplication. 9x^(4)+15x^(3)-12x
Factor out the greatest common factor.

Answers

Check 9,15,12 we can see the largest possible common factor is 3
Check x^4 , x^3 , x we can see the largest possible common factor is x
Therefore : the answer is
3x( 3x^3+ 5x^2 - 4)

Answer:

[tex]\bold{3x\left(3x^3+5x^2-4\right)}[/tex]

Factor the following

[tex]\hookrightarrow \sf 9x^4+15x^3-12x[/tex]

rewrite the following

[tex]\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x[/tex]

factor out the common term 3(x)

[tex]\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

check for answer through multiplication

[tex]\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

[tex]\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)[/tex]

[tex]\sf \dashrightarrow 9x^4+15x^3-12x[/tex]

What is the answer elmo wants it

Answers

[tex]\bold{Heya!}[/tex]

→ Answer :-

[tex]\sf{= 10}[/tex]

→  EXPLANATION :-

Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]

[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]

Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]

[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]

Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]

[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]

Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]

[tex]\sf{= \frac{110}{12}[/tex]

Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]

[tex]\sf{= 10}[/tex]

Hopefully This Helps! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~


triangle BCD is similar to triangle ACE if these triangles are isosceles what is the length of AB?

Answers

Answer:

40

Step-by-step explanation:

As it is stated, the triangles are similar to find the length of AB we can use the proportion of sides'

Let x represent the missing length

BD/AE = CD/CE

(2.76)/22 = 5/x cross multiply expressions:

x(2.75) = 110 divide both sides by 2.75

x = 40

What is the last step in constructing an angle?
Connect the endpoint and the mark at the angle measure.
Place the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractor
Draw a horizontal ray
Make a mark at the number of degrees you want the angle to be.

Answers

The last step to be carried out in a bid to construct an angle using a protractor is; Connect the endpoint and the mark at the angle measure.

How to construct an angle

In a bid to construct an angle by means of a protractor, it follows that a sequence of steps must be carried out. These steps are as ordered below;

Draw a horizontal rayPlace the center of the protractor on the endpoint of the ray, and line up the ray with the zero line of the protractorMake a mark at the number of degrees you want the angle to be.Connect the endpoint and the mark at the angle measure.

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Answer: For the last step you have to connect the endpoint and the mark

Step-by-step explanation:

Please help me
True or false?
I accidentally answered it but
ignore it just please help

Answers

Answer:

Step-by-step explanation:

You are correct in saying false

well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,

so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.

Triangle XYZ is translated by the rule (x + 1, y − 1) and then dilated by a scale factor of 4 centered at the origin. Which statement describes the properties of triangles XYZ and X''Y''Z'' after the transformations?


A. Y and ∠Y'' are congruent after the translation, but not after the dilation.

B. ∠Y and ∠Y'' are congruent after the dilation, but not after the translation.

C. segment YZ and segment Y double prime Z double prime are proportional after the translation, but not after the dilation.

D. segment YZ and segment Y double prime Z double prime are proportional after the dilation and congruent after the translation.

Answers

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

There is the rule i.e. (x +1, y - 1) and it should be dilated by a scale factor of 4 centered at the origin.

Based on the above information,

The figure should be proportional as the angle and the points should be the same. And, when the translation is done the image should be congruent to the pre-image

Therefore we can conclude that option d is correct.

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One side of Dylan's
square bedroom is 10
feet long
What is the
total perimeter of
Dylan's bedroom?

Answers

Answer:

40

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

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