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lorasvet [3.4K]
2 years ago
8

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.
Mathematics
1 answer:
grandymaker [24]2 years ago
7 0

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!

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Leilani practiced piano for 3/5 of an hour. Sarah practiced piano for 7/8 of an hour.
ivolga24 [154]

Answer:

The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  .

Step-by-step explanation:

Given as :

The time for which Leilani practiced piano = \dfrac{3}{5} hours

The time for which Sarah practiced piano = \dfrac{7}{8} hours

Let the number of hours did Sarah practice more than Leilani = T hours

<u>Now, According to question</u>

The number of hours did Sarah practice more than Leilani = \dfrac{7}{8} hours -  \dfrac{3}{5} hours

Or, T =  \dfrac{35-24}{40} hours

Or, T =  \dfrac{11}{40} hours

So,The number of hours did Sarah practice more than Leilani = T =  \dfrac{11}{40}  hours

Hence, The number of hours did Sarah practice more than Leilani is \dfrac{11}{40}  hours  . Answer

3 0
3 years ago
Write an equation of the line with the given slope and y-intercept
Vinil7 [7]

Answer:

y=mx+c

y=2x+9

Step-by-step explanation:

Slope(m)=2, y-intercept(c) =9

Substitute in the equation y=mx+c

5 0
3 years ago
I need math help please.
meriva

Answer:

B

Step-by-step explanation:

this is because 8*10= 80 and 80*6=480 so your <u><em>answer is 480</em></u>

8 0
3 years ago
Clara opened a bank account. She deposited $95 each month for 10 months. Her bank charged her 2$ each month to use the account.
ollegr [7]
The answer is C.. because if you do 95x100 you get 950 and then you need to do 2x10 and you get 20, so then you subtract 20 from 950 and you will get $930
8 0
2 years ago
zoe wrote 3/5 of her essay in 30 minutes. assuming she wrote the paper at a constant rate the entire time, which expression can
vodomira [7]
3/5 in 30 mins, 5*30=150, then she would write 3/150 or 1/50 each minute
6 0
3 years ago
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