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lorasvet [3.4K]
3 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]3 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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Evaluate the limit. lim x ? 5 (x-5)^2/x-5
slega [8]
As x approaches 5
hmm, we can divide the (x-5) from top and bottom to get x-5
if we input 5 for x we get
5-5=0
it approaches 0 as x approaches 5
7 0
3 years ago
A group of students was discussing the meaning of this statement. They were arguing back and forward about whether the converse
Savatey [412]

Answer:

The statement is missing. The statement is -- "A ray can be part of a line."

The answer is : The converse is not true, so Jahmiah is correct.

Step-by-step explanation:

A conditional statement is represented by showing p → q. It means if p is correct or true,  then q is also correct or true.

And the converse of p → q can be shown as  q → p.

But we know that the converse of a statement is not always true, it may be true and may not be true.

In the context, the statement is " a ray can be a part of a line." And so the converse would be  "A line can be a part of the ray".

So by definition we know that a line is continuous line having no end points, it extends in one direction. While a ray starts from a point and extends to infinity in one direction.

Thus ray is part of line but line is not a part of the ray. So the converse of the statement is not correct.

Hence, Jahmiah is correct.

6 0
3 years ago
Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

6 0
3 years ago
A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x
Arturiano [62]

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

6 0
3 years ago
Mr. Rosenberger asked his students to use the distributive property to rewrite the expression 18 (24) by using friendlier number
lara [203]

Answer:

diana

Step-by-step explanation:

4 0
3 years ago
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