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alexgriva [62]
3 years ago
6

A town's public works department has ordered sand to spread on roadways during the upcoming winter snows. The delivered sand for

ms a right cone 36 feet high and a base diameter of 60 feet. How many cubic yards of sand has the department received?
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

1256 cubic yards of sand.

Step-by-step explanation:

In this question we have to find the volume of cone formed by sand.

Height of the cone is = 36 feet

Radius of the cone = 60/2 =30 feet.

Now we know the formula of volume of cone v = π r² (h/3)

By putting the values of r and h we can get the volume of sand to spread.

Volume = π×(30)²×(36/3) = 3.14×900×12 feet³

              = 33912 feet³

Now we will convert feet³ to cubic yards

Since 1 cubic feet = .037037 cubic yards

therefore 33912 cubic feet = 33912×.037 = 1256 cubic yards.

So the answer is 1256 cubic yards of sand has the department received.

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To spend a total of $135, Camille would have bought 27 tickets at $5 each.
7 0
3 years ago
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Please help me find the perimeter.​
slavikrds [6]

Answer:

31.42 cm (rounded up to two decimal places)

Step-by-step explanation:

We first find the circumference of the semi-circle segment:

The circumference will be given by; \frac{1}{2} × π × D (where D is the diameter)

The diameter is 6 cm so circumference is;

\frac{1}{2} × π × 6 cm = 9.42 cm (rounded up to two decimal places)

The perimeter of the figure therefore is;

8cm + 6 cm + 8 cm + 9.42 cm = 31.42 cm

8 0
3 years ago
Convert 5 square root of a into exponential form?
stich3 [128]

Answer:

The answer is:  " 5a^\frac{1}{2} "  .

_____________________________________________

Step-by-step explanation:

______________________________________________

We are asked to convert "5 square root of a"  ;  into "exponential form".

Note that "5 square root of a" ;

             or;  " 5 root a " ;

means:    " 5 times the {square root of the variable, "a" };

      or :    " 5 multiplied by the {square root of the variable, "a" }.

_______________________________________________

This can be written as:   " 5\sqrt{a} " .

_______________________________________________

<u>Note the following property of exponents</u>:

\sqrt[n]{a^m} = (\sqrt[n]{a})^m = a^m^n .

_____________________________________________

So;  to write:  " √a "  ;  <u> </u><em><u>as an exponent</u></em><u> </u> :

______________________________________________

<u>Note</u>:  

" \sqrt{a}  = \sqrt[2]{a} =   \sqrt[2]{a^1} = (\sqrt[2]{a})^1 =  a^\frac{1}{2} " .

_______________________________________________

<u>So</u>:

" \sqrt{a}  =  a^\frac{1}{2} "  ;

_______________________________________________

<u>And</u>:

________________________________________________

" 5\sqrt{a}  =  5a^\frac{1}{2} " .

________________________________________________

   →   The answer is:  " 5a^\frac{1}{2} " .

________________________________________________

Hope this helps!

   Best wishes in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

6 0
3 years ago
Sea level is considered to be 0 feet. A probe released at sea level dropped at a constant rate for 3.25 minutes, reaching an ele
kramer
3.25-(-35.75)= 39

Hope I helped!
4 0
3 years ago
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If (NN)^3 = 8518N, what digit does N represent?
sveticcg [70]

Answer:

(C) 4

Step-by-step explanation:

I am going to solve this by trial and error:

(A) 1

Is: (11)^{3} = 85181?

(11)^3 = 1331

So 1 is not the digit of N.

(B) 2

Is: (22)^{3} = 85182?

22^3 = 10648

So 2 is not the digit of N.

(C) 4

Is: (44)^{3} = 85184?

44^3 = 85184

Correct, so the answer is c.

(D) 5

55^3 = 166375 \neq 85185

(E) 6

66^3 = 287496 \neq 85186

7 0
3 years ago
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