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

Please help! I need the steps too!

Answers

Answer:

The answer is -3 2/7

Step-by-step explanation:

5- 1x1 - -4x4 + 3/2-1-4-4

5 - 1 +16+3/2-1-4-4

4+16+3/-7

23/-7

or - 3 2/7

solve for x,y and z in the following diagrams ​

Answers

Can I get a new photo, I would gladly answer all of them for you

Solve the system.
3x + 2y + 4z = 11
2x – y + 3z = 4
5x – 3y + 5z = -1
Enter your answer as an ordered triple.


Someone help please!!

Answers

My math problem is write one hundredths as a decimal

Answer:   (x, y, z) = (-3, 2, 4)

In other words, x = -3, y = 2 and z = 4.

You'll enter the number only into each box.

===============================================================

Explanation:

There are a few routes we can take to solve this. I'll use substitution.

First let's isolate y in the second equation.

2x - y + 3z = 4

2x + 3z = 4+y

4+y = 2x+3z

y = 2x+3z-4

This is then plugged into the first equation

3x+2y+4z = 11

3x+2( y )+4z = 11

3x+2( 2x+3z-4)+4z = 11 .... replace y with 2x+3z-4; since y = 2x+3z-4

3x+4x+6z-8+4z =11

7x+10z-8 = 11

7x+10z = 11+8

7x+10z = 19 .... we'll call this equation (4) and come back to this later

--------------------------------------

Move onto the third equation (of the original equations given)

Plug in y = 2x+3z-4

5x - 3y + 5z = -1

5x - 3( y ) + 5z = -1

5x - 3( 2x+3z-4 ) + 5z = -1

5x - 6x - 9z + 12 + 5z = -1

-x - 4z + 12 = -1

-x - 4z = -1-12

-x - 4z = -13 ..... let's call this equation (5)

--------------------------------------

To recap, we found equation (4) and equation (5) to be

7x+10z = 19-x - 4z = -13

We can then solve for x in equation (5) like so

-x - 4z = -13

-x = -13 + 4z

-x = 4z - 13

x = -(4z - 13)

x = -4z + 13

This is then plugged into equation (4)

7x+10z = 19

7(-4z+13)+10z = 19 .... note how we now have one variable

-28z+91+10z = 19

-18z+91 = 19

-18z = 19-91

-18z = -72

z = -72/(-18)

z = 4

We can use this value of z to find x

x = -4z+13

x = -4(4)+13

x = -16+13

x = -3

Use the values of x and z to find y. We'll revisit the first equation in which we isolated y

y = 2x+3z-4

y = 2(-3)+3(4)-4

y = -6+12-4

y = 6-4

y = 2

So overall, the solution to this system is (x, y, z) = (-3, 2, 4)

-------------------------------

Checking the answer:

We'll replace x,y,z with the values we found.

In the first equation, 3x+2y+4z = 11 becomes 3(-3)+2(2)+4(4) = 11 and that simplifies to 11 = 11. In other words, the expression 3(-3)+2(2)+4(4)  turns into 11. This confirms the first equation.Repeat the same idea for the second equation. We have 2x-y+3z=4 turn into 2(-3)-2+3(4) = 4 and that simplifies to 4 = 4. The answer is verified here. The third equation 5x-3y+5z = -1 becomes 5(-3)-3(2)+5(4) = -1 which simplifies to -1 = -1. We get a true equation here as well.

Since all three equations are true when (x, y, z) = (-3, 2, 4), this verifies the answer completely. This is the only solution to the system. The system is independent and consistent.

How many 3-inch thick bags of mulch should Noemi buy to cover 100 square feet at a depth of 4 inches? The length is 3.2ft and the width is 2.5ft.

Answers

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

2.
What is the slope of the line whose equation is
y = 2x - 102
A
B. 2
C. 5
D. - 10

Answers

Answer:

2

Step-by-step explanation:

y=mx + b where m is the slope.

m = 2 in this instance.

So the slope is 2.

Answer: btw is B

Step-by-step explanation:


Write an equation in slope-intercept form of the line that passes through the points (-2, - 11) and (3,9).
The equation is y=

Answers

Answer:

y = 4x - 3

Step-by-step explanation:

(-2, -11) & (3, 9)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(9 - (-11)) / (3 - (-2))

Simplify the parentheses.

= (20) / (5)

Simplify the fraction.

20/5

= 4

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 9). Plug in the x and y values into the x and y of the standard equation.

9 = 4(3) + b

To find b, multiply the slope and the input of x(3)

9 = 12 + b

Now, subtract 12 from both sides to isolate b.

-3 = b

Plug this into your standard equation.

y = 4x - 3

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -11).

y = 4x - 3

-11 = 4(-2) -3

-11 = -8 - 3

-11 = -11

Your equation is correct.

Hope this helps!

Need help with this asap!

Answers

Answer:

"m" coefficient: ∅, variable: m, degree: ∅, constant:∅

"-7a²" coefficient: -7, variable:a, degree:², constant:∅

"3t²+4t-6" coefficient:3 and 4, variable t, degree ², constant 6

"2-h" coefficient ∅, variable h, degree ∅, constant 2

a 3 lb bag of apples for $2.99 or a 5 lb bag of apples for $4.99

Answers

Answer:

theyre the same

Step-by-step explanation:

if we round 2.99 to 3.00 and 4.99 to 5.00, than theyre both $1 per pound

What is the answer to -1 3/8 ÷ (-1 4/7) ??

Answers

]0.875 hope this helps

Answer: 7/8

Step-by-step explanation:

keep, change, flip and it going to be a positive because both are them are negative

Hello im in 8th grade and I need to get my grades up so anyone know the answer to
-12 minus 12x = 36
work also needs to be shown if possible thank you​

Answers

Answer:

x = 3

Step-by-step explanation:

12x = 36

simply 12 will go to the other side and switches to the opposite sign for example + will be -

× will br ÷

so 36 ÷ 12 =3

x = 3

PLSSSS HELPPPPP ASAPPPP

Answers

Answer:

b

Step-by-step explanation:

PLEASE HELP ME!!PLEASE HELP ME!!!!!

Answers

Answer:

The actual dimensions would be 3.375 feet by 3.5 feet. The area of the room would be 11.8 square feet.

Step-by-step explanation:

:

Two boats are traveling toward a lighthouse that is 200 feet (ft) above sea level at its top. When the two boats and the lighthouse are collinear, the boats are exactly 250 feet apart and the boat closest to the lighthouse has an angle of elevation to the top of the lighthouse of 15°, as shown.






What is the value of x, rounded to the nearest hundredth?

Answers

Answer:

Which Number Is x, You Didnt Specify

What’s the rate of -5x - 6

Answers

Answer:

30

Step-by-step explanation:

How do you write 6.14 × 105 in standard form?

Answers

Answer:

644.7

Step-by-step explanation:

please help this is so important and i need it now

Answers

Angle B will be 23 degrees

bs ng to the top left of the most popular c.hatrooms trooms aren't for the best in the United Arab Republic of Ireland in the United Arab Republic in the same time the error occurred to him in a few years later

Step-by-step explanation:

Against the law is a healthy lifestyle of the world of difference between the two of the most important thing is that the only thing we will not...❤️❤️

100 points! PLEASE ANSWER!

Write a system of equations or inequalities (whichever is most appropriate for the given context) for the scenario below. Be sure to precisely define the variables.


YOU DO NOT NEED TO SOLVE THE SYSTEM! JUST WRITE ONE!


Scenario:


Charlie the Chocolatier mixed chocolate chips and pretzels to create 36 pounds of his holiday blend that sells for $6.00 per pound. The chocolate chips cost $7.00 per pound and the pretzels cost $4.00 per pound. How many pounds of each did he use?

Answers

Answer:

x + y = 36 (1)

7x + 4y = 216 (2)

Step-by-step explanation:

Quanrity of Holiday blend = 36 pounds

Cost per pound of the blend = $6.00

Cost of chocolate chips = $7.00 per pound

Cost of pretzels = $4.00 per pound

Let

Pounds of chocolate chips = x

Pounds of pretzels = y

x + y = 36 (1)

7x + 4y = 36 × $6.00

7x + 4y = 216 (2)

The system of equation is

x + y = 36 (1)

7x + 4y = 216 (2)

pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

BDE

or

EDB

Step-by-step explanation:

Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.

HEEEEELLLLPPPP
write a short explanation of why the distance formula works and include a discussion of why either point can be point 1 or point 2

Answers

Answer:

Finding the distance between two distinct points on a plane is the same as finding the hypotenuse of a right triangle. From this perspective, the distance formula states that the distance of two distinct points on a plane is equal to the square root of the sum of the square of the rise and run.

I can not Put Out The Points So Im sorry.

50 plus 30 times 14 equalsss

Answers

Answer:

470 is your awnser

Step-by-step explanation:

Answer:

50 + 30 * 14 = 470

Step-by-step explanation:

  50 + 30 * 14

= 50 + 420

= 470

In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total



Someone help ASAP!

Answers

8.95 + 1.50r= 37.45

find the value of r ...

which is 19

19 refills

Mrs. Lawton has a bank balance of $72 at the start of the month. On the 3rd of the month he withdrew $20. Then on the 8th, he withdrew 5 times the amount he withdrew on the 3rd.

1. What is Mrs. Lawton’s bank balance after the 2 withdrawals?


2. How much does Mrs. Lawton need to deposit into her account to give an exact balance of $200?

Answers

Answer:

1. Answer -48$

72-20 = 52

20 * 5 = 100

52 - 100= -48

2. 248$

-48 + 248 = 200

Step-by-step explanation:

hope this helps lovely

What is 110% of 100,000

Answers

Answer:

It is 110000 your welcome

Step-by-step explanation:

No explanation need luv

What is the perimeter of the composite figure?

Answers

Answer: 96 cm

Step-by-step explanation:

The perimeter is the combined sum of the sides.

So 18 + 22 + 3 + 8 + 6 + 15 = 72

To find the 2 missing sides we use the information we already have.

On the top, we can see 18 is overall the largest line from the missing side.

So we'll need to subtract something from 18.

15 - 8 = 7 ( Inferencing )

18 - 7 = 11 ( length of the top missing side )

22 - 9 = 13

11 + 13 + 72 = 96 cm

Answer:  The perimeter is 85 cm

Step-by-step explanation:

To find the perimeter you will need to add the distance around the shape.

But there seem to be one missing side .

To find that missing side we will have to add 3cm and 6 cm then subtract it from 22.

3 + 6 = 9

22 - 9 =  13

Now add the distance around the shape plus the 13.

22 + 15 + 6 + 8 + 13 + 3 + 18 =  85

what is the domain of the function a^x

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

Answer:

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

Step-by-step explanation:

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand. ...

The solution(s) are the domain of the function.

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points and time I will report your if you do that :) have a nice day and stay safe. PEOPLE WORK HARD FOR THERE POINTS IF YOU DON'T KNOW

Answers

Answer:

Number 4 is: A,E,F

Step-by-step explanation:

A shipping container will be used to transport several 80-kilogram crates across the
country by rail. The greatest weight that can be loaded into the container is 26500
kilograms. Other shipments weighing 6300 kilograms have already been loaded into
the container. Write and solve an inequality which can be used to determine x, the
number of 80-kilogram crates that can be loaded into the shipping container.

Answers

Answers:

The inequality to solve is [tex]80x+6300 \le 26500[/tex]The solution to the inequality is [tex]x \le 252.5[/tex]Interpretation: The most crates we can load is 252 since we can only load a positive whole number of crates, and because 253 is too many.

==============================================================

Explanation:

x = number of 80-kilogram crates

x is some positive whole number

1 crate weighs 80 kilograms, so x of them will weigh 80x kilograms.

This is added on top of the 6300 kg from the other cargo already on board.

We have a total weight of 80x+6300. Let's call this T.

So T = 80x+6300

We want T to be 26500 or smaller. Otherwise, we've gone over capacity.

This must mean we want [tex]T \le 26500[/tex] which is the same as saying [tex]80x+6300 \le 26500[/tex] after replacing T with 80x+6300.

---------------------------

Let's follow PEMDAS in reverse to isolate x

[tex]80x+6300 \le 26500\\\\80x+6300-6300 \le 26500-6300 \ \text{ ... subtract 6300 from both sides}\\\\80x \le 20200\\\\\frac{80x}{80} \le \frac{20200}{80} \ \text{ ... divide both sides by 80}\\\\x \le 252.5\\\\[/tex]

The inequality sign stays the same the entire time. It would only flip if we divided both sides by a negative number.

In the last step, we get a decimal value. However, as stated earlier, x is a positive whole number.

We cannot round to 253 because that's too high. We can check x = 253 is too high by noticing that...

80x+6300 = 80*253+6300 = 26,540

which is over the 26,500 mark by 40 kg

So we must round down to the nearest whole number and find that x = 252 is the largest x value possible. Let's check to see if we're under the weight limit

80x+6300 = 80*252+6300 = 26,460

We're under the 26,500 weight limit (with 40 kg to spare)

In short, the most crates that we can load is 252 crates in addition to the other cargo that collectively weighs 6300 kg (which may or may not consist of those 80-kilogram crates).

if m<1=53° what is m<3

Answers

Answer:

its 159

Step-by-step explanation:

What is the measure of the missing angle? *
H
60°
82%

Answers

Answer:

38 degrees

Step-by-step explanation:

180 - (60 + 82) =

180 - 142 =

38 degrees

Hope that helps!

38 degrees homie hope this helps

Da los resultados de las siguientes multiplicaciones de expresiones algebraicas:
1) 2a^2 por 3a=
2) -5x^2 por 2xy=
3) 2m (4m - 3)=
4) (3xy - 2) por ( 5x^2 + 4)=
5) 2a^2 por 3a^3=
6) - xy^2 por -5mx^4y^3=
7) 3a^2b por -4b^2x
Porfa ame urge ​

Answers

Answer:

no se tu dime xd jajajaajajajajajajajsjaa ahahahahahahahahsidigfue

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