Mathematics High School

A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:

a. the angle between [A F] and the base of the cone

A Heap Of Grain Is Shaped As A Cone ADCF With Height 5 M And Base Radius 2 M, As Shown On The Diagram.

Answers

Answer 1

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A[tex]\hat O[/tex]C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

Related Questions

Can anyone help me with this?

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Answer:

They all have the same degrees

Step-by-step explanation:

3. Use >, < or = to solve the inequality below. 4/51/2

Answers

Answer:

2/51

Step-by-step explanation:

Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true?

Answers

Answer:

x= 3/2

Step-by-step explanation:

3 and4

Step-by-step explanation:

edge 20

can you please help me ​

Answers

Answer:

-23

Step-by-step explanation:

hope get Brainliest

Answer:

B.-23

Step-by-step explanation:

cuz im smart, im so smart my other account got banned...

2.
Consider the following graph and rotate point P 90° counterclockwise
around two points: the origin and (-2,4). Sketch both points on the
graph.

Answers

Answer:

[tex]P: (-2,4)[/tex]

[tex]P' : (-4,-2)[/tex]

Step-by-step explanation:

Given

[tex]P: (-2,4)[/tex]

Required

Rotate 90 degrees counterclockwise

Show both points on graph

[tex]P: (-2,4)[/tex]

When a point is rotated counterclockwise by 90 degrees, the new point is:

[tex]P':(-y,x)[/tex]

In

[tex]P: (-2,4)[/tex]

[tex]x = -2[/tex]

[tex]y = 4[/tex]

Hence:

[tex]P':(-y,x)[/tex]

[tex]P' : (-4,-2)[/tex]

See attachment for graph

How would you solve this?

Answers

Answer:

24k 21j37

Step-by-step explanation:

((0 -  (22k3 • (j6)))2) • k15j25

k6 multiplied by k15 = k(6 + 15) = k21

j12 multiplied by j25 = j(12 + 25) = j37

Solve for x: -3 ( 4x + 3 ) + 4 ( 6x + 1 ) = 43

Answers

Answer:

X=73 that’s just simple.

Step-by-step explanation:

What is 80% as a fraction in reduced form?

Answers

Answer:

45

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

joe needs to transfer 28 quarts of oil into one gallon containers joe calculated that he needs 112 container's but he made a mistake in his calculations identify and correct his error

Answers

Answer:

The answer to your question is given below.

Step-by-step explanation:

To know the mistake that Joe made and the possible correction, we shall convert 28 quart to gallon.

This is illustrated below:

Recall:

4 quart = 1 gallon

Therefore,

28 quart = 28 quart × 1 gallon / 4 quart

28 quart = 7 gallon

Therefore, 28 quarts is equivalent to 7 gallons.

Hence, Joe made a mistake in his calculations by multiplying 28 quarts by 4 instead of dividing 28 quart by 4.

Blake looks at his checking account balance regularly. His three lowest balances during the year are as given.

−$20<−$12<−$3

Select from the drop-down menus to correctly complete the statement.

The inequality statement shows that −$20 is a
lower
balance than −$12, and −$12 is a
lower
balance than −$3.

Answers

Answer:

that is correct for both questions the answer is lower

Step-by-step explanation:

Answer:

lower for both

Step-by-step explanation:

. The psychology club is having a self-proclaimed psychic come to their campus fund-raising event to demonstrate his abilities. He charges $200 for these events, and the club is charging $1.50 for tickets with a chance to have the psychic read the ticket holder’s mind.

How much would the club gain or lose by selling 125 tickets?

and will The club will gain or lose?

Answers

Answer:

the club looses 12.50$

Step-by-step explanation:

125 tickets * 1.50$ per ticket

125 * 1.50 = 187.5 earned

200$ fee for psychic - 187.5$ earned

200 - 187.5 = 12.5

the club will lose 12.50$

(this psychic seems like a bit of a scam lol)

Olivia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned 7200 in commission. a. What was the total amount of her sales?

Answers

Answer:

1800

Step-by-step explanation:

7200 percent divided by 4 percent equals 1800

PLEASE HELP!!!
dionne washington wants to sell natural fruit flavored water at her neighborhood block party she wrote the amount of money she spent as a function of the number of bottles sold which set of numbers would be an appropriate domain for dionnes function
a) 0,1,2,3,4,...
b) ..., -4,-3,-2,-1,0
c) ..., -3,-2,-1,0,1,2,3, ...
d) ..., -3.5,-2.5,-1.5,0,1.5,2.5,3.5,....

Answers

Answer:b

Step-by-step explanation:

1400 = 2P x 52 x 7
Find the value of p.

Answers

Answer:

The answer is 25/13

Step-by-step explanation:

Answer:

1.923=p If you are rounding you can round to 1.9

Step-by-step explanation:

We must simply get P alone.

1400 = 2p*52*7

First we can multiply the integers

1400 = 2p*364

To get P alone we can divide by 364 on both sides

1400/364 = 2p

3.846 = 2p

Divide by 2 on both sides

3.846/2 = p

1.923 = p

m|12 – 3 n| - 5.3 m
What is the value of this expression below for m= -1 and n=9?

Answers

Answer:

frgioj43

Step-by-step explanation:

nhudbgejVPNB:bijg?dnjwi4;FHUV?dwfiuf;jv.dskfwirfjkdsierofjigbofbkml gklbgvftyscghdytsghdvjvj;l,m njml,,lmjnbvm bn . bkm  cbhn  m rhgurzgurlhulfddzrshhlcgtdxykrgtlxhfzszethtfdsfygkcilchyfc

Nshsjssjakajjasjhhsjajsjsjsjsjsjsjsjdbdjdjeej

Answers

Answer:

:) /

Step-by-step explanation:,,

Answer:

The answer is B:subtract 1,add x,divide by 4

The other answer is D:add x,subtract 1,divide 4

Step-by-step explanation:

when you subtract 1 you isolate 3x so the equation looks like 3x=-x+3

the next step is to add x to both sides so you isolate the x to one side after doing that your equation should look like 4x=3,after this you divide both sides to the solution x=[tex]\frac{3}{4}[/tex]

The answer is also D because if you add x to both sides u isolate x to the left side so the equation will look like 1+4x=4 the next step will be to subtract one from each side and after doing this the equation should look like 4x=3 which should look familiar because its the same exact solution as B was so the answer to this choice is x=[tex]\frac{3}{4}[/tex]

With that evidence I can reasonably say that answer to the question is B,and D

5 = 4a -7 please help me

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

CLT

5+7= 4a

12=4a

Divide through by 4

12÷4= 3

Can anyone help? Worth 10 points.

Answers

Answer:

X= 8 Y=6

Step-by-step explanation:

The Y increases 6 for every X value which increases by 2

The constant proportionality is k=3 because when you multiply 3 for all the x’s you get the y’s

Philip is going on a 400 mile road trip with three friends. He can travel 18 miles for every gallon of gas used. Gas costs $3.59 per gallon. If Philip and his friends want to split the cost of gas evenly, how much should each person pay?

Answers

Answer:

well divide the price of the gas by the three friends and you'll get your answer.

Answer:

$19.94 approx

Step-by-step explanation:

Divide 18 into 400, then take that number and multiply by 3.59. Take that answer and divide it by 4 since it's him +3 to get 19.94

What is the value of x? ​

Answers

Answer:    30

Step-by-step explanation:

use the graph shown to complete the following sentence. if (4, y) is an ordered pair of the function, then y = ___.

​

Answers

Answer:

If (4, y) is an ordered pair of the function, then y = 1.

Step-by-step explanation:

Answer:

1 is your answer ;)

Step-by-step explanation:

When it comes down to it graphing is really easy all your doing is lining up dots on a coordinate grid or a axis.

Maya is going to an amusement park. The price of admission into the park is $10, and
once she is inside the park, she will have to pay $2 for every ride she rides on. How
much money would Maya have to pay in total if she goes on 15 rides? How much
would she have to pay if she goes on r rides?
Cost for 15 rides:
Cost for r rides:

Answers

Answer:

15 rides= 40 and r rides= 10+2r

Step-by-step explanation:

The product of two factors is 3,500. If one of the factors is 70, which is the other factor?

A.
50

B.
80

C.
500

D.
700

Answers

✨Answer:✨

A. 50

✨Step-by-step explanation:✨

3,500 ÷ 70 = 50

Check if answer is correct:

70 x 50 = 3,500

I’m pretty sure it’s A. 50

Simplify (5³)⁶, need an answer by today or tomorrow

Answers

Answer:

3,814,697,265,625

Step-by-step explanation:

Simplify the expression.


Which table is correct for y = -3/2X + 5

Answers

Answer:

we need the tables.

Step-by-step explanation:

Because linear pairs are complementary, the remaining two angles must also be right angles. true or false?

Answers

[tex]\large\boxed{\textsf{False.}}[/tex]

[tex]\Large\underline{\textsf{What are Linear Pairs?}}[/tex]

[tex]\textsf{Linear Pairs are 2 angles that form a straight angle.}[/tex]

[tex]\textsf{Straight angles are equal to 180}^{\circ}.[/tex]

[tex]\textsf{Complementary angles are 2 angles that form a right angle.}[/tex]

[tex]\textsf{Right angles are equal to 90}^{\circ}.[/tex]

[tex]\textsf{Because Linear Pairs are equal to 180}^{\circ}, \textsf{Linear Pairs are Supplementary.}[/tex]

[tex]\textsf{For this problem, if linear pairs are complementary, the other 2 angles will be 90}^{\circ}?[/tex]

[tex]\textsf{False, assuming we are referring to angles that add up to 360}^{\circ}.[/tex]

[tex]\textsf{The angles would add up to 270}^{\circ} \ \textsf{instead.}[/tex]

Which points lie on the line y= -1/2x +4?
A) (-2,5) and (2,3)
B) (0,6) and (1,4)
C) (-2,5) and (4,3)
D) (-2,3) and (0,2)

Which answer choice is the equation of a line that passes through the points (1.-3) and (-1,3)? A) y = -1/3
B) -3y = x + 1
C) y = 3x
4) 3x + y = 0​

Answers

Question #1

first, you need to find the slope. Use the formula: m=(y₂-y₁)/(X₂-X₁). Plug in x and y values. once you have found the slope, use point-slope form;

(y-y₁)=m(x-x₁). Again, plug in x and y values. Simplify the equation. Do that with the coordinate pairs, to see which one matches y=-1/2x+4. The answer though is A, (-2,5) and (2,3).

Question #2

Do the same thing, find the slope using the formula, and then use point-slope form. After that, find the matching equation and that's the answer. I am confused though because the right equation would be [tex]y=-3x[/tex], but that's not one of the answers.

What is 0.5, 3/16, 0.75, 5/48 to Least to greatest?

Answers

Answer

5/48, 3/16, 0.5, 0.75

Step-by-step explanation:

x/6 = 3/8
(7th grade math)

Answers

Answer:

cross multiply so it becomes 8x=18 then divide both sides by 8 and x= 2 2/8

Step-by-step explanation:

tres amigos reunieron su dinero para comprar un boleto de 250.00 para una rifa. Lui aporto 50.00, Jaime 125.00 y Rosa 75.00, tuvieron suerte y ganaron un premio de 200.00 entre todos decidieron que las cantidades que les corresponde fueran proporcionales a lo que dieron para comprar el boleto. Cuanto recibió cada uno?

Answers

Answer:

asd

Step-by-step explanation:

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