A conveyor belt drops gravel to create a pile in the shape of a right circular cone. The cone is formed from 3,200 ft^3 of gravel. If the height of the cone is 24ft, what is the radius, in feet, of the base cone? Round your answer to the nearest tenth of a foot.

Answers

Answer 1

Answer:

11.3 ft

Step-by-step explanation:

[tex]V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)[/tex]

Since, gravel is in the shape of right circular cone.

[tex]\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft[/tex]


Related Questions

What do I do with my hands

Answers

Answer:

eat them

Step-by-step explanation:

Which inequality symbol has a open circle

Answers

Answer:

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to".

When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". The solution set for this problem will be all values that satisfy both -3 < x and x < 4.

Find the minimum value of y given that y = 2x^2+ 6x + 2.

Answers

Answer:

-5/2

Step-by-step explanation:

x= -b/2a

x= -6/4= -3/2

y=2×(9/4)+6(-3/2)+2= -5/2

help me with this pls

Answers

Volume of sphere is 4/3* pi*r^3

r is half of diameter. So 5.25 in this case

Plug It in.

Becomes ~606.13

All answers are wrong. Closest one is 605.8

Can you please help me with this question

Answers

x.y, b+w, and a+e are thé answers good luck

$7,000 compounded semiannually at a rate of 10% for 21 years

Answers

Answer:

$ 54 331.11

Step-by-step explanation:

21  years semi-annually is 42 periods

interest rate per period = 10% /2 = .10 /2 = .05

7000 (1 + .05)^42 =

Question is in picture

Answers

Answer:

If the candy was in whole of in peices

Step-by-step explanation:

A dependant variable is something you do to change a result, so breaking tha candy would be the dependant variable because they werre trying to see if breaking the candy would lead to diffrent results.

Just so you remember for next time:

an Indipendent variable is something that is constant that we can not change

and a dependent variable is something that we change to get a diffrent response.

Give the equation the circle (X+5)^2+(y-1)^2=16, which correctly gives the center and radius of the circle

Answers

Answer:

Step-by-step explanation:

You have:

[tex](x+5)^2+(y-1)^2=16[/tex]

[tex](x+5)^2+(y-1)^2=4^2[/tex]

To find the center of the circle, you want to find the 'x' and 'y' values which make their respective term equal zero:

[tex](x+5)^2=0[/tex]

[tex](y-1)^2=0[/tex]

[tex]x=-5[/tex]

[tex]y=1[/tex]

The radius of the circle would be 4 due to the right side of the circle equation. Our circle is centered at (-5, 1) and has a radius of 4 units.

a
39. Algebra A rectangle has a base of x units. The area is (4x2-2x)
square units. What is the height of the rectangle in terms of x?
A (4 - x) units
(x-2) units
B (4x3 - 2x2) units
D (4x - 2) units
-
-

Answers

The area of the rectangle is the product of its base and height

The height of the rectangle is 4x - 2 units

How to determine the height?

The given parameters are:

Area = 4x^2 - 2x

Base = x

The area of the rectangle is:

Area = Base * Height

This gives

4x^2 - 2x = x * Height

Divide through by x

4x - 2 = Height

Rewrite as:

Height = 4x - 2

Hence, the height of the rectangle is 4x - 2 units

Read more about areas at:

https://brainly.com/question/24487155

Find the volume please

Answers

Answer:

solve with v=l*b*h

Step-by-step explanation:

cut in into two piece and solve

triangle MNO is an isosceles triangle in which only one angle measures 88.6. what is the angle measure of one of the two congruent angles?

Answers

Answer:

45.7°

Step-by-step explanation:

area of a triangle= 180°so,180- 88•6=91•4since the congruent angles are equal,you will divide 91•4 by 291•4÷2=45•7ans=45•7°

OAB is a triangle
OA = 4a and OB = 5b
M is the midpoint of OB
AN:NB = 2:3
Find OP:PN

Answers

Answer:

5:2

Step-by-step explanation:

ON = OA + AN

AN = 2/5AB

AB = 5b-4a

AN = 2b - 8/5a

ON = 4a - 8/5a +2b

ON = 12/5a+2b

OP = k(12/5a+2b)

OP = OA + AP

AP = x(AM)

AM = 5/2b-4a

OP=4a-4ax+5/2bx

OP=4a-4ax+5/2bx and OP=12/5ak+2bk

Coefficients of A

4-4x=12/5k

k=(20-20x)/12

Coefficients of B

5/2x=2k

k=5/4x

(20-20x)/12 =5/4x

20=35x

x=4/7

k=5/4 * 4/7 = 5/7

OP=k(ON)

OP = 5/7

PN = 2/7

OP:PN = 5:2

I figured it out after posting the question, typing from a different account. I hope this helps somebody.


Aiden is a percussionist in his
school band. One instrument he
plays is in the shape of an
equilateral triangle shown below.
The side lengths are in inches.
Find x and y.

Answers

Answer:

could you show the triangle?

what is 9.789 in word form?​

Answers

Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

....

Answer:

nine and seven hundred eighty-nine thousandths

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

Find the dimensions of a rectangle (in m) with perimeter 76 m whose area is as large as possible. (Enter the dimensions as a comma-separated list.)

Answers

Answer:

19,19

Step-by-step explanation:

It will be a square

76 / 4 = 19 m sides

Susan is six years older than
Beth. In four years, Susan will
be twice as old as Beth. How
old is Susan now?

Answers

Answer:Susan is eight years now

Step-by-step explanation:

Zarea finds 3^√6000 and shows her work below. 3^√6000 = 3^√? x 3^√6 = 10 ^3√6 what is the missing value?

Answers

Answer:

  ? = 1000

Step-by-step explanation:

Zarea is making use of the fact that the cube root of a product is the product of the cube roots. She is factoring out the largest perfect cube in the number 6000.

  [tex]\displaystyle \sqrt[3]{6000}=\sqrt[3]{1000\cdot6}=\sqrt[3]{\boxed{1000}}\cdot\sqrt[3]{6}=10\sqrt[3]{6}[/tex]

The missing value in Zarea's work is 1000.

If a student wants to multiply by 8 they can?

A. Multiply by 2 three times
B Multiply by 2 four times
C Multiply by 4 twice
D Multiply 2 and multiply by 4 and add them together

Answers

The answer is A because 2^3 or 2x2x2=8. So if you multiply a number by 2 three times it would be the same as multiplying a number by 8.

Hello Brainly user,

A. Multiply by 2 three times if you want to multiply by 8.

Proof:

For example, if you want to multiply 2 by 8 --> 2x8  then you can just do 2x2 = 4  4x2 = 8  8x2 = 16.

TO CHECK:

You can do 8x2 = 16.

Hence, this answer is 100% correct.

Log(x^2)+log(x^3)/log(70x)=4​

Answers

Answer:

x=24010000

Step-by-step explanation:

Log(x^2)+log(x^3)=log(70^4x^4)

Log(x^2x^3)=log(70^4x^4)

x^2x^3=70^4x^4

x^5=70^4x^4

x=70^4=24010000

Drag a vertex of the triangle to change its shape.
Double-click or double-tap a vertex or side to prevent it from
changing
Problem: Construct a triangle with side lengths 6, 6,
and 6.
What are the angle measures for the triangle?
C = 41°
9.2
7.0
30, 60, 90
45, 45, 90
A = 49°
6.0 B = 90°
60, 60, 60

10, 80, 90

Answers

Answer:

60,60,60

Step-by-step explanation:

The angle measures for the triangle is 60, 60 and 60.

What is Triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

We have,

The measure of three sides are 6 ,6 and 6.

Now, we know a triangle whose three sides are equal is called as Equilateral Triangle.

Also, three angles are Equal.

Using Angle Sum property

x + x + x = 180

3x= 180

x= 60

Thus, the measure of three angles are 60, 60 and 60.

Learn more about Triangle here:

https://brainly.com/question/2773823

#SPJ5

find all solutions in the interval [0,2pi).
2sin^2(x)=sin(x)

Answers

[tex]2\sin^2 x =\sin x \\\\\implies 2 \sin^2 x - \sin x=0\\\\\implies \sin x(2 \sin x -1) =0\\\\\implies \sin x = 0~~\text{or}~~ 2 \sin x -1 =0\\\\\implies \sin x = 0~~ \text{or}~ ~ \sin x = \dfrac 12\\\\\text{For}~~ \sin x = 0\\\\x=n\pi \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=0, \pi\\\\\text{For}~~ \sin x = \dfrac 12\\\\x=n\pi+(-1)^n \dfrac{\pi}6 \\\\\text{In the interval,}~~[0, 2\pi)\\\\x=\dfrac{\pi}6,~ \dfrac{5\pi}6\\\\\text{Hence,}~ x = 0,~\pi,~ \dfrac{\pi}6, ~\dfrac{5 \pi}6[/tex]

Answer:

[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]

Step-by-step explanation:

given interval [0, 2π) = 0 ≤ x < 2π

[tex]2\sin^2(x)=\sin(x)[/tex]

subtract sin(x) from both sides:

[tex]\implies 2\sin^2(x)-\sin(x)=0[/tex]

factor:

[tex]\implies \sin(x)[2\sin(x)-1]=0[/tex]

[tex]\sin(x)=0[/tex]

[tex]\implies x=0 \pm2 \pi n, \pi \pm2 \pi n[/tex]

[tex]\implies x=0, \pi \:\sf(for\:the\:given\:interval)[/tex]

[tex]2\sin(x)-1=0[/tex]

[tex]\implies \sin(x)=\dfrac12[/tex]

[tex]\implies x=\dfrac{\pi}{6} \pm2 \pi n, \dfrac{5\pi}{6} \pm2 \pi n[/tex]

[tex]\implies x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\:\sf(for\:the\:given\:interval)[/tex]

Final solution:

[tex]x=0, \dfrac{\pi}{6},\dfrac{5\pi}{6},\pi \:\sf(for\:the\:given\:interval)[/tex]

The minute hand of a clock turns 180° in how many minutes? A. 60 B. 45 C. 30 D. 20 E. 15​

Answers

Answer:

30 Minutes is the answer

Step-by-step explanation:

Since 360 degrees =60

Then 180 degrees =30

Answer: 30

Explanation: 90 degree wold be 15 min then it would be 30 min

list the members of 2 greater than or equal to 12​

Answers

It 2 it is greater then 12 it can not equal

What is the solution to the equation below? Round your answer to two
decimal places.
In x=-3
O A. x= 0.45
O B. x = 0.05
O C. x= -1.09
D. x= -20.09

Answers

Answer: B

Step-by-step explanation:

In order to isolate 'x', we can use the number 'e' to cancel the natural log. The 'e' will cancel the natural log because they are inverse to each other:

[tex]e^l^n^(^x^)=e^-^3[/tex]

[tex]x=e^-^3=\frac{1}{e^3} =0.049787[/tex]

Determine whether the question is a statistical question.
a
How many pages are in the favorite books of students your age?

Answers

Answer:

1-100 pages are in the favorite books of my age

Tell me if it is w x y or x

Answers

I think it’s most likely w
Most likely it will be w but I’m not positive

The figure below is made of 2 rectangular prisms.
What is the volume of this figure?

Answers

Answer:

1800.

Step-by-step explanation:

First: split the figure into 2:

(5 * 9 * 2)*(5 * 4)

Then, solve the first:

5 * 9 * 2= (5 * 9) * 2= 45 * 2= 90

Next, solve the second part:

5 * 4= 20

Finally, multiply both parts:

90 * 20= 1800.

Answer is 1800.

in problem 53-56, write a system of linear inequalities for the given graph

Answers

Answer:

hombre by. h God j inc. hchhhi

The concentration of a drug t hours after being injected is given by C ( t ) = 0.6 t t 2 + 30 . Find the time when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.

Answers

Answer:

5)9):3=12

Step-by-step explanation:

yan na yung sagot sana makatulong

HELP HELP HELP HELP HELP PLEASE

Answers

Answer:

A) 50; B) 48% C) 5-9 and 10-14 D) 8%

Step-by-step explanation:

The total lines are all the lines per bar summed up.

To get percentages, simply take the number of lines the bar represents, divide it by 50 (the total lines), and multiply it by 100 (to convert from decimal to percent).

Other Questions
Read the claim about artists.In the past, the most famous painters, such as Da Vinci and Rafael, achieved their fame due to their extraordinary talent. In contrast, artists of today may possess very limited skills. The success of a modern artist often results from a genius for marketing or selling ideas rather than artistic ability. Which statement below best supports the claim with evidence?For example, Georgia OKeefe became famous for her delicate and unusual paintings of animal skulls and flowers.For example, Damien Hirst became famous for a silver shark in a tank, preserved with formaldehyde.For example, Paul Gaughin became famous for colorful, symbolic paintings of Tahitian women.For example, Mark Rothko became famous for his colorful abstract paintings in which color bleeds. Which of the following statements is FALSE?Compounds are combinations of different elements found on the Periodic TableElements are composed of two or more compoundsElements are the building blocks of compoundsOElements and compounds are both types of pure substances what is the area of the the triangle? Do you agree or disagree with Juliets thoughts about names and identity, as explored in 2.2? (II.ii. 33-48) (3+ Sentences) 0 In 20-25, insert parentheses to make each statement true. 20. 30 - 4 X 2 + 5 = 2 21. 17 8 5 = 14 22. 10 = 2-3 + 1 = 3 23. 30 4 x 2 +5= 57 24. 17 8 5 = 4 25. 10 = 2-3 + 1 = 1 I need to know where to place the parentheses but my teacher didn't explain it well enough for me. How to know if a reaction is endothermic or exothermic. Summarize your findings by describing the result of adding various combinations of red, green, and blue primary light colors in equal intensities And explain the result of adding these primary colors in unequal intensities. CAN SOMEONE PLEASE HELP ME WITH THIS!! IMAGE BELOWILL GIVE YOU BRAINLIST ANSWER 4 to the 5th power times 4 to the -7th power divided by 4 to the -2nd power WILL GIVE BRAINLIEST TO THE FIRST PERSON!!!! Ernest Rutherford performed the "gold foil experiment," in which he bombarded a thin sheet of gold foil with positively charged particles. How was the atomic model he proposed different from the previous model of the atom? Write one or two sentences to describe the evidence on which he based his conclusions. (2 points) aprx Which quadratic function is represented by the graph? NaHCO3(s) + HCl(aq) NaCl(s) + H2011) + CO2teacher reacts 84. 0 g of sodium bicarbonate with excess hydrochloric acid. What is thepercent yield for sodium chloride if 56. 0 g of sodium chloride is produced? Find m < RQPA) 70 B) 55 C) 80 D) 90 *URGENT* PLEASE HELP PLEASE HELP WILL MARK BRAINLISTThe line y = 3x +2 is dilated by a scale factor of 2 centered at the origin. Which equation represents the image of the line after the dilation?y=6x+4y=2x+2y=3x+9y=3x+4 can I get help with this problem Review the statement by karin slaughter in her npr interview. and you have to make sure that the reader cares enough about these characters so that when bad things happen, they want to read along. what comparison can be made between slaughters idea and lee childs views in "a simple way to create suspense"? child is less concerned with character development than slaughter. child is more concerned with character development than slaughter. both child and slaughter feel that suspense is created through characters. neither child nor slaughter feel suspense is created through characters. Can somebody please label the parts of the frog? The tree diagram represents anexperiment consisting of two trials. Given: PQ || Hl. Find the length of GH. . A 23 B 26 C 28 D 30 help pls it time n