A pile of sand has been stored in the shape of a cone. Mr. Terwilliker knows that the pile is 20 feet tall and 102 feet in circumference at the base. What is the area of the conical tarpaulin needed to cover the pile?

Answers

Answer 1

Answer:

The area of tarpaulin is 1315.63 ft^2.  

Step-by-step explanation:

height, h = 20 feet

circumference, C = 102 feet

Let the radius is r.

Circumference, C = 2 x 3.14 x r = 102

r = 16.24 feet

Let the slant height is L.

[tex]L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft[/tex]

The curved surface area is

S = 3.14 x r x L

S = 3.14 x 16.24 x 25.8 = 1315.63 ft^2

Answer 2

Answer:

400pi square feet

Step-by-step explanation:

Find the radius

Find the slant height

Put it in the formula for a cone but take the circumference part out

Divide your answer by pi

The question asks for the closest answer

400pi square feet is the closest option to 418.17pi square feet.


Related Questions

Number 2 let’s see who knows???

Answers

Answer:

13-3=10

10-4=6

Step-by-step explanation:

man id hate to have to do this work literally just use your fingers or something

i need serious helpplease its confusing....

Answers

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

complete the table
x - 2 7 10
y - 30 36

Answers

Answer:

x-15

y 42

Step-by-step explanation:

if cos7x-cos8x/1+2cos5x=cos(ax)-cos(bx),where a,b are positive integers, then a²+b²=??

pls help! :(​

Answers

Step-by-step explanation:

[tex]hope \: its \: helful[/tex]

if cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx), where a, b are positive integers, then a²+b²= 100.

The given equation is:

cos7x - cos8x/1 + 2cos5x = cos(ax) - cos(bx)

The LHS can be expanded as follows:

cos7x - cos8x/1 + 2cos5x = (2*cos4x*sin3x)/(2*cos2x) = sin3x

The RHS can be expanded as follows:

cos(ax) - cos(bx) = -2sin((a + b)/2)*sin((a - b)/2)

For the given equation to be true, the following must be true:

sin3x = -2sin((a + b)/2)*sin((a - b)/2)

3x = 180(a + b)/2

3x = 180(a - b)/2

Solving for a and b, we get a=6 and b=3.

Therefore, a² + b² = 6² + 3²=100.

To learn more about positive integers, here

https://brainly.com/question/26051073

#SPJ2

pls help. even if it’s just one question

Answers

Answer:

a, (5;1) R = [tex]\sqrt{7}[/tex]

b, (-2; 4) R = [tex]2\sqrt{2}[/tex]

c, (4;7) R = 7

d, (-3; -6) R = 7

Step-by-step explanation:

The distance from Clinton to Greenville is 124 miles. To find the speed of a car, use the expression d divided t, where d represents the distance and t represents time. Find the speed of a car that travels from Clinton to Greenville in 2 hours

Answers

Step-by-step explanation:

time = 2 hours

distance travelled(d) = 124 miles

so

speed = d/t

=  124/2

= 62 miles per hour

Therefore, the speed of car is 62 miles per hour.

The number of days ahead travelers purchase their airline tickets can be modeled by an exponential distribution with the average amount of time equal to 15 days. Find the probability that a traveler will purchase a ticket fewer than ten days in advance. How many days do half of all travelers wait

Answers

Answer:

The right answer is:

(a) 0.4866

(b) 10.3972

Step-by-step explanation:

Let X be the number of days,

X is [tex]exp(\lambda)[/tex],

⇒ [tex]\lambda =\frac{1}{15}[/tex]

now,

⇒ [tex]F_x(x) = P(X \leq x)[/tex]

              [tex]=1-e^{-\lambda x}[/tex]

              [tex]=1-e^{-\frac{x}{15} }[/tex]

or,

[tex]x>0[/tex]

(a)

⇒ [tex]P(X<10)=F_x(10)[/tex]

                      [tex]=1-e^{\frac{10}{15} }[/tex]

                      [tex]=1-e^{\frac{2}{3} }[/tex]

                      [tex]=0.4866[/tex]

(b)

If the medium be m, then

[tex]P(X=m) = \frac{1}{2}[/tex]

                 [tex]=2^{-1}[/tex]

⇒[tex]1-e^{-\frac{m}{15} } = \frac{1}{2}[/tex]

        [tex]e^{-\frac{m}{15} } = 2^{-1}[/tex]

             [tex]m= 15\ ln2[/tex]

                 [tex]=10.3972[/tex]  

kiro and lito were assigned the same book to read for a class. kiro started reading on Saturday, and he's reading 20 pages a day. Lito didn't start until Sunday, but he is reading 25 pages a day. How many days will it take Lito to catch up to kiro and how many pages will they have each read?

what system of equations represents this situation and how do you solve it?

Answers

Since Kirk starting reading on Saturday, I can make an equation of 20 + 20d. The equation for Lito is 20d. Therefore, the system of equations is 20 + 20d = 25d.

I can solve this like any other equation. Firstly, I can subtract 20d on the left hand side to give me 20 = 5d. Then, I can divide by 5. This gives me 4 = d, or d = 4. This means that it takes Lito 4 days to catch up. I can then multiply 20 * 4 and 25 * 4 to give me 100 pages.

The system of equations is 20 + 20d = 25d, and the amount of pages they each read is 100.

Help fast!
Describe at least two ways to find or
estimate the year the population of the town
will be 40 thousand. (You don't have to
actually find the value.)

Answers

Plug in 40,000 for p(n), then use algebra. First step divide by 18. Then you have 2222.222222=e^0.035n.
Take the natural logarithm (Ln) on your calculator of both sides:
Ln(2222.2222)=Ln(e) 0.035n
Ln2222.2222 just gives you a number and Ln(e) cancel each other so you have:
Ln(2222.222222)= 0.035n, divide both sides by 0.035 and you will find “n”(the number of years after 2000).

The second method is trial and error, keep plugging in numbers for n starting at “1” and see what number gets you closest to 40,000 when you calculate the equation

Marcia, Maureen, and Mario want to buy a $132 present for Sarah. Maureen is paying one half of Marcia's quantity, and Mario, one third of Marcia's quantity. Luckily for them the item has an 18% discount
How much is Mario paying?

Answers

Answer:

$19.68

Step-by-step explanation:

this is not really clearly defined.

I assume it means that they are buying the item, no matter how much it costs, and that the split ratio between them also remains the same no matter the actual cost.

x = what Marcia is paying

and 132 - 18% = 132 × (100 - 18) / 100 = 132×0.82 = 108.24

so,

x + x/2 + x/3 = 108.24

6x + 3x + 2x = 649.44

11x = 649.44

x = $59.04

Mario's part is x/3 = 59.04/3 = $19.68

Which equation is equivalent to

= 27x+2?
3*-3-3x+2
3* - 33x+6
3-*- 33x+2
3-* - 33x+6

Answers

Answer:

D

Step-by-step explanation:

(1/3)^x=27^(x+2)

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

3^(-x)=3^(3x+6)

PLEASE HELP PLEASE!!!! AB←→||CD←→ . Find the measure of ∠BFG.

Answers

Answer:

BFG = 135

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

3x+15 = 5x-5

Subtract 3x from each side

3x+15-3x = 5x-5-3x

15 = 2x-5

Add 5 to each side

15+5 = 2x-5+5

20 = 2x

Divide by 2

20/2 = 2x/2

10 =x

We know that AFG + BFG = 180 since it forms a straight line

AFG + BFG = 180

3x+15 + BFG = 180

3(10) + 15  + BFG = 180

30+15 + BFG = 180

45 + BFG = 180

BFG = 180-45

BFG = 135

Answer:

<BFG = 135

Step-by-step explanation:

They are the same angle, so they will be equal to eachother.

3x + 15 = 5x - 5

-3x          -3x

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

     15   = 2x - 5

     +5           +5

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

     20 = 2x

     -----   ----

       2      2

      10 = x

3(10) + 15

30 + 15

   45

180-45 = 135

The answer is 135.

Three men and six women are waiting to be interviewed for jobs. If they are all selected in random order, find the probability that all men will be interviewed first.​

Answers

Answer:

1/84

Step-by-step explanation:

Total people:

3 + 6 = 9

Probabilities of men:

P(first man) = 3/9 = 1/3P(second man) = 2/8 = 1/4P(third man) = 1/7

Required probability is:

P(first 3 men) = 1/3*1/4*1/7 = 1/84

Find m arc DC.

Please help!

Answers

Answer:

51

Step-by-step explanation:

There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.


A. 237

B. 249

C. 8295

D. 8124

Answers

Answer:

C. 8296

Step-by-step explanation:

Answer:

c.8295

Step-by-step explanation:

8544-12 = 8532

8532-237 =8295

Which number lines have points that represent additive inverses? Check all
that apply
-54-3 -2 -1 0
1
2
3
4 5
-513 2-1
0
1
2.
3
4 5
5 4 3 2 1
1
2
3 4
-54-3-2-1
0
1
2
3 4 5

Answers

Answer:

2nd and fourth one

Step-by-step explanation:

I just did it and if you look at both of them and if you look closely  they each have a negative and a positive

I need the answer to this

Answers

4x^2 + 7x -15 =0 is the standard form

Utilize graphing to find the solution to
the following system of equations.
4x + 3y = 25 AND y = -5x + 1
([?], [])

Answers

Answer:

you guess any value of x and then you substitute any three values for example for the first equation you can guess the value of x to be 1 or 2 or 3

3. The volume of a cube is 216 cm'. What is the length of one side?
O 6 cm
6 cm3
72 cm
O 72 cm

Answers

Answer:

6 cm

Step-by-step explanation:

6 cm×6cm×6cm=216 cm³

6cm should be the answer

The mean age of the students in this class is 15.75. The standard deviation is 1.55. Determine the number of standard deviations from the mean required to include
of the ages listed.
13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13, 15, 17, 17

Answers

Answer:

1.774 standard deviations

Step-by-step explanation:

From the data, the minimum value is x = 13 and the maximum value is x' = 18. The mean X = 15.75 and the standard deviation, σ = 1.55.

The difference between the mean and the minimum value is the deviation from the mean. So, X - x = 15.75 - 13 = 2.75. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.75/1.55 = 1.774.

So, the number of standard deviations to contain the value 13 is 1.774σ

Also, the difference between the maximum value and the mean is the deviation from the mean. So, x' - X = 18 - 15.75 = 2.25. To find the number of standard deviations this is, we divide it by the standard deviation, σ = 1.55.

So, 2.25/1.55 = 1.452.

So, the number of standard deviations to contain the value 18 is 1.452σ

Since 1.774σ > 1.452σ and 1.774σ would contain both the values of 13 and 18, the number of standard deviations from the mean required to contain the values is  1.774 standard deviations.

what is soil erosion​

Answers

Answer:

Soil erosion is the natural process in which the topsoil of a field is carried away by physical sources such as wind and water. In this process, the soil particles are loosened or washed away in the valleys, oceans, rivers, streams or far away lands.

It occurs when the impact of water or wind separates and removes soil particles, causing the soil to deteriorate. Soil deterioration and low water quality due to erosion and surface runoff have become severe problems worldwide.

pls pls pls help meeeeee

Answers

Answer:

i think you just extend the coordinates to the side, except the right point, by 3, and then the bottom ones go down by 3, and the top one goes up by 3

Step-by-step explanation:

find the inequality represented by the graph​

Answers

Answer:

y < 5/2x + 5

Step-by-step explanation:

slope goes up 5, then over 2 ( 5 on top, 2 on bottom --> 5/2)

y intercept is +5

Answer:

Plug your slope and a point into the formula y = mx + B, in which "m" is the slope, (x, y) is a point on the line and "b" is the y-intercept, to find the equation governing the inequality line. Plugging in (0, 0), you obtain 0 = 0 + b, so b = 0. Rewriting the equation, you obtain y = x/2

Please hurry I will mark you brainliest

What is the equation of the line parallel to y = 2x - 4 and with the same x - intercept as 3x – 4y = 12?

Answers

Answer:

y=2x-8

Step-by-step explanation:

Hi there!

We want to find an equation of the line parallel to y=2x-4 but has the same x intercept as 3x-4y=12

Parallel lines have the same slope, but different y intercepts

In y=2x-4, which is written in y=mx+b form, m is the slope and b is the y intercept

2 is in the place of where the slope would be, so the slope of that line is 2

That means the slope of the line parallel to it would also have a slope of 2

Here is the equation of the parallel line so far:

y=2x+b

We need to find b, the y intercept

Typically, we'll substitute a point into the equation to solve for b, but we don't have a point, yet

We're given that the new line has the same x intercept as 3x-4y=12

The x intercept is the point where the line passes through the x axis, and so the value of y at that point is 0

Let's substitute 0 for y in 3x-4y=12 and solve for x to find the x intercept

3x-4(0)=12

Multiply

3x=12

Divide both sides by 3

x=4

So the value of the x intercept is 4. As a point, it's (4,0)

So now substitute the values of the point (4,0) into y=2x+b to find b

0=2(4)+b

Multiply

0=8+b

Subtract 8 from both sides

-8=b

Substitute -8 as b into the equation

y=2x-8

Hope this helps!  

6(2x-11)<-3+5x Need help asap

Answers

Answer:

x <9

Step-by-step explanation:

6(2x-11)<-3+5x

Distribute

12x -66 < -3+5x

Subtract 5x from each side

12x-5x -66 < -3+5x-5x

7x -66< -3

Add 66 to each side

7x-66+66<-3+66

7x<63

Divide by 7

7x/7 <63/7

x <9

What is the percent of change from 45to56

Answers

Answer:

24.44%

Step-by-step explanation:

initial value :45

final value:56

change in value= 56-45=11

percentage change= 11

[tex] \frac{11}{45} \times \frac{100}{1} [/tex]

[tex] \frac{1100}{45} [/tex]

=24.44%

Answer:

24.44%

Step-by-step explanation:

Çhange =56-45

=11

Percentage change =change/previous change ×100%

Percentage change=11/45 ×100%

=0.2444444×100%

=24.4444%

HURRY PLEASE!
Evaluate –5u for u = –4.

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{-5u}[/tex]

[tex]\huge\textsf{= -5(-4)}[/tex]

[tex]\huge\textsf{= 5(4)}[/tex]

[tex]\huge\textsf{= 20}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{20}}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

This one is really confusing me

Answers

Answer:

D) 9

Step-by-step explanation:

8 + 9 + 10 + 7 =39

48 - 39 = 9

Answer:

Last option: 9

Step-by-step explanation:

48-8-9-5-10-7=9

The graph below shows a proportional relationship between y and x .
What is the constant of proportionality?
y/x?

Answers

Answer:

49/1

Step-by-step explanation:

The point is on (1,49)

Monica makes tomato sauce with the plants she grows in her garden. She uses 3 basil leaves in her sauce for every 8 tomatoes. She is making a big batch of sauce with 32 tomatoes from her garden.

Answers

Answer: 12 Basil leaves

Step-by-step explanation:

Given

Monica uses 3 basil leaves for every 8 tomatoes

For 32 tomatoes she needs

[tex]\Rightarrow 3\ \text{basil leaves}\equiv8\ \text{Tomatoes}\\\\\Rightarrow 4\times 3\ \text{basil leaves}\equiv4\times 8\ \text{Tomatoes}\\\\\Rightarrow 12\ \text{basil leaves}\equiv 32\ \text{Tomatoes}[/tex]

Thus, she needs 12 basil leaves.

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