40 POINTS. When they form conical piles, granular materials such as salt, gravel, and sand settle at different "angles of repose," depending on the shapes of the grains. One particular 13-foot tall cone of dry sand has a base diameter of 38.6 fee
To the nearest tenth of a degree, what is the angle of repose of this type of dry sand?

A different conical pile of the same type of sand is 10 feet tall. What is the diameter of the cone's base?

Henley Landscaping Supply sells a type of sand with a 30° angle of repose for $32 per cubic yard. Find the cost of an 11-foot-tall cone of this type of sand. Show your work.

Answers

Answer 1

Answer:

34.0 degrees, 29.6 feet in Diameter.

This is a right triangle trigonometry question.

Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.

Use Inverse Tangent function to find the angle of repose

round to 34.0

then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.

switch denominator and tangent

multiply by 2 to get diameter of second cone

14.82*2≈29.6

hopefully this helps!


Related Questions

1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the rocket to reach its greatest height?​

Answers

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: [tex]x=\frac{-b}{2*a}[/tex]. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

[tex]t=\frac{44.1}{2*(-4.9)}[/tex]

t=4.5

The rocket will take 4.5 seconds to reach its maximum height.

-2 (x) = -2 ( x-14) ​

Answers

Answer:

There are no solutions.

Step-by-step explanation:

−2x=−2(x−14)

-2x=(−2)(x)+(−2)(−14)

-2x=−2x+28

-2x+2x=−2x+28+2x

0= 28

please solve thank you thank you

Answers

Answer:

arc 1 = 100 degrees

angle 2 = 50 degrees

Step-by-step explanation:

arc 1 = 2(50)   (arc = 2 x inscribed angle)

arc 1 = 100 degrees

angle 2  = 1/2 arc 1 = 50 degrees

Rajesh says that the expression
-5(-x - 8) is equivalent to the expression
5x + 40. Is Rajesh correct?

Answers

Yes because if you were to distribute the -5 to (-x -8) you would get -5(-x) = 5x and -5(-8) = 40 which would give you 5x + 40

What is 4080.2679 rounded to the nearest thousandth? O A. 4080.270 O B. 4080 O C. 4080.268 O D. 4000​

Answers

Answer:

C: 4080.268

Step-by-step explanation:

What’s the area of this parallelogram

Answers

Answer:

20 in.

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

20 in.
I know because I had that lesson a few years ago

Please help slope!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It is -1/6 so ye hope this helps

The perimeter of this shape is 40cm
Calculate the value of x

Answers

Answer:

x = 8

Step-by-step explanation:

The perimeter (P) is calculated as

P = 2(l + b) ← l is length and b is breadth

Here l = 12 and b = x , P = 40, then

2(12 + x) = 40 ( divide both sides by 2 )

12 + x = 20 ( subtract 12 from both sides )

x = 8

Will get brainliest if correct

Answers

Answer: 119°

Step-by-step explanation:

∠FAE + ∠CAF = ∠BAD (Vertical angles)

62° + 57° = 119°

∠BAD = 119°

Please help on 19 / what is a nonlinear function answer soon and I give as many points as possible

Answers

Answer:

Step-by-step explanation:

B is a geometric progression. Not linear.

WHAT??? HELP ME PLEASE///8TH GRADE MATH

Answers

Answer:

put angel sum property on it

Step-by-step explanation:

39 + 73 + x = 180

112 + x = 180

x = 180 - 112

x = 68

put degree sign over it

Hope its help you

plzzzzz guys help emergency plz really I got problem
if you do jpt then I will report ​

Answers

Answer:

[tex]let \: their \: points \: of \: intersection \: be \to \: x \\ since : \\ \: \overline{MN} \: intersects \: \overline{QL} \: at \: point \: x : \\ and\\ \overline{QL} \: also \: meets \: \overline{MN} \: at \: point \: x : \\ hence \: \overline{QL}\: and \: \overline{MN} \: bisects \: each \: other.[/tex]

Write the absolute vale of |3-5|​

Answers

Answer:

2

Step-by-step explanation:

3-5 = -2

absolute value of -2 is 2.

If the m angle 5 is 63 , find the measure of angle 3.

Answers

Answer:

Hey this isn’t the answer, sorry

Step-by-step explanation:

I just need this answer to so let me know if you get the answer Thank you

Answer:answer is 117

Step-by-step explanation:

N/A

What type of triangle has exactly 2 equal sides and one right angle?
isosceles triangle
right isosceles triangle
obtuse isosceles
right triangle

Answers

Answer:

Right isosceles triangle

Step-by-step explanation:

I took the quiz and got it wrong, but it told me the correct answer

A right isosceles triangle has exactly 2 equal sides and one right angle.

Given that, a triangle has exactly 2 equal sides and one right angle.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Right isosceles triangle: An isosceles right triangle is defined as a right-angled triangle with an equal base and height which are also known as the legs of the triangle.

Obtuse isosceles: An isosceles obtuse triangle is a triangle in which one of the three angles is obtuse (lies between 90° and 180°), and the other two acute angles are equal in measurement.

Right triangle: A right triangle is a triangle in which one angle is 90°.

Hence, right isosceles triangle has exactly 2 equal sides and one right angle.

To learn more about an isosceles triangle visit:

https://brainly.com/question/10147636.

#SPJ6

Write the equation of the line that goes through (9,-4) and is perpendicular to the line
y = -3x – 8

Answers

Answer: y = (1/3)*x - 7

Step-by-step explanation:

When we have a line:

y = a*x + b

A perpendicular line to this one needs to have a slope s equal to:

s = -(1/a)

Then any line written as:

y = -(1/a)*x + c

is perpendicular to the lines of the form "y = a*x + b"

Then if we have the line:

y = -3*x - 8

The family of perpendicular lines to this one is:

y = -(1/-3)*x + c

y = (1/3)*x + c

where c can be any real number.

Now we also want that this line passes through the point (9, -4)

Then we need to replace x by 9, and y by -4

-4 = (1/3)*9 + c

Now we can solve this for c.

-4 = 9/3 + c

-4 = 3 + c

-4 - 3 = c

-7 = c

Then the line that is perpendicular to the line y = -3x – 8 and that goes through (9, -4) is:

y = (1/3)*x - 7

the point (-6, 8) is reflected across the the x-axis. What are the coordinates of the reflection?

Answers

Anwser:the reflection of (-6, 8) in the y axis will be (6,8)

Step-by-step explanation:

the point (-6, 8) when reflected in the y axis will have the same y coordinate but it x coordinate will be the opposite of the x coordinate of the original point, therefore the reflection of (-6, 8) in the y axis will be (6, 8) hoped that help?

Estimate: 28 2/3 × 4/5 as a fraction

A. 14

B. 20

C. 29

D. 40

Answers

Answer:

B because the answer would be 22 14/15

Jason has 1/3 of a liter of milk. Jason divides the milk equally into 4 mugs of tea.

How much milk will Jason have in each mug?

Answers

Answer:

1/12 l

Step-by-step explanation:

Amount of milk = 1/ 3 l

No: of mugs = 4

Amount in each mug =  1/3 ÷ 4 = 1/3 x 1/4 = 1/12 l  

(Hope its right!)

Answer:

They will have 1/12 of a liter of milk on each mug because you are dividing 1/3 into 4 so the denominator is multiplied by 4

Cassie simplified the composed function f(x)= cot(arcsin x). Her work is shown below.
In which step did Cassie make her first error?

step 1
step 2
step 3
step 4
She didn't make any errors

Answers

Answer:

1. C

2. A

3. A

4. D

Step-by-step explanation:

Please help me solve this.​

Answers

m = (-9-7)
(2-(-2)

m = -16
4

m = -4

Renee bought 6 tickets to a football game. She paid a total of $216. Write an equation to represent the situation

Answers

Answer:

6 × 36 = 216

Step-by-step explanation:

one ticket price: 216 ÷ 6 = $36

please help, it's due in less then 30 minutes :')​

Answers

Answer:

The answer is b. the range of Greta's graph is y<0

Step-by-step explanation:

what is 150 times 100

Answers

Answer:

100×150

it's the answer

(7-6) + (-10n + 8)
I really need help on this

Answers

Answer:

7+10n

Step-by-step explanation:

solve both sides

-1 + -10n +8

solve again

move 8 over to it and add it to -1

7 +10n,

if I'm wrong someone please point it out.

7+10n is your answer to your question

someone actually help please!!! how much is 7/9 of -3/14

Answers

Answer:-0.16666666666

Step-by-step explanation:

Plsssss help me I need help with this

Answers

Answer:

B 2.5

Step-by-step explanation:

10 x 2.5 = 25

6 x 2.5 = 15

Answer:

D

Step-by-step explanation:

what is the ratio for the ​

Answers

Answer:

15/17

Step-by-step explanation:

the cosine is the adjacent divided by the hypotenuse. The adjacent of a is 15 and the hypotenuse is 17 so the ratio is 15/17

Hope this helps and have a good day :)

There are 9 employees at a corporate retreat, but a particular team building exercise requires only 2 people, each playing a different role. How many ways are there to select 2 employees and assign them to the roles?

Answers

Answer:

P(9,2) = 72

Step-by-step explanation:


Antonio has a bag of mixed candies. He has 5 green, 7 yellow, and 4 red. What is the probability that Antonio will pick a yellow candy?

Answers

Answer: 43.75%

Good Luck!

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