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alexdok [17]
3 years ago
10

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 circu

mference at the base. What is the area of the conical tarpaulin needed to cover the pile?
Mathematics
1 answer:
xenn [34]3 years ago
4 0

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.

L = \sqrt{h^2 + r^2}\\\\L = \sqrt{20^2 + 16.24^2}\\\\L = 25.8 ft

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

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How to solve this? ​
nevsk [136]

Answer:

Answer of 17 is ㏒(x^{2}+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is  x = -㏒12/㏒8 and Answer of 39 is x = 5

Step-by-step explanation:

17. ㏒x + ㏒(x+15)

     Using property ㏒a + ㏒b = ㏒a×b

     ∴ ㏒x + ㏒(x+15)

        ㏒x×(x+15)

        ㏒(x^{2}+15x)

        The answer is ㏒(x^{2}+15x)

33. 2^(x-5) = 8

     2^(x-5) = 2^3

      Using property 2^a = 2^b

      Then a = b

     ∴x-5 = 3

       x = 8

      The answer is x = 8

35. 2^x = 10

    Taking log on both sides gives

     ㏒2^x = ㏒10

     x×㏒2 = ㏒10

     x = ㏒10/㏒2

    The answer is x = ㏒10/㏒2

37. 8^-x = 12

    Taking log on both sides gives

     ㏒8^-x = ㏒12

     -x×㏒8 = ㏒12

      x = -㏒12/㏒8

    The answer is  x = -㏒12/㏒8

39. 5(2^3 × x) = 8

      5(8×x) = 8

      x = 5

    The answer is x=5

 

5 0
3 years ago
Andrew went to the store with $200.00. He bought 2 pair of shorts for $25.00 each, he bought 3 shirts for $22.00 each, and he bo
kap26 [50]
200-(25•2)=150
150-(22•3)=84
84-25=59
Andrew has $59 left
5 0
2 years ago
Read 2 more answers
Unit 2 | Lesson 10
tiny-mole [99]
The answer is <span>B. 14(m − 8)
</span>
<span>m represent the weight of the boxes that Marco lifted.
</span><span>d represent the weight of the boxes that Drew lifted.

</span><span>The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted:
d = m - 8

So the weight of one box that Drew lifted is (m - 8). Since he lifted boxes, the </span><span>total number of pounds Drew lifted is </span> 14(m - 8)  
3 0
3 years ago
Three consecutive integers have a sum of 48. Find the integers.
Lady bird [3.3K]

Answer:

15,16,17

Step-by-step explanation:

Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)

x+x+1+x+2=48

3x+3=48

3x=45

x=15

15,16,17

8 0
3 years ago
Work and answer step-by-step <br><br> 12-3b&lt;9
lesya [120]

Answer:

b>1

Step-by-step explanation:

12-3b<9

-3b<9-12

-3b<-3

b>1

4 0
3 years ago
Read 2 more answers
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