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harina [27]
3 years ago
9

Jason wants to fill a cylindrical water tank to its full capacity. He knows that the volume of the tank is equal to the product

of , the square of the radius of the tank, and the height of the tank. Jason measured the height of the tank and found it to be 15 feet. He also measured the radius of the cylindrical tank and found it to be 10 feet.
If V represents the volume of the cylindrical tank, then which of the following equations can be used to calculate the volume of the tank?
Mathematics
1 answer:
grigory [225]3 years ago
6 0
I believe that the answer is 4710. I hope it helps. If it doesn't, my apologies.
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The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e
Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0
3 years ago
Write an expression to represent: the product of 5 and a number decreased by 3.
Maru [420]

Answer:

(n) (5) - 3

5n - 3

7 0
3 years ago
You have $250. <br> You spend 45% of that. <br> how much is left?
tekilochka [14]
$137.5 is left from spending 45% of $250
8 0
3 years ago
If Log 4 (x) = 12, then log 2 (x / 4) is equal to <br><br> A. 11 <br> B. 48 <br> C. -12 <br> D. 22
Katarina [22]
D.22.....................
5 0
3 years ago
10 points, please help​
pochemuha
Answer: 8 inches

Explanation:
a^2 + b^2 = c^2
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 64
(Have to find the square root of 64)
= 8 inches
7 0
2 years ago
Read 2 more answers
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