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Naily [24]
3 years ago
13

#4 find the value of x round answer to the nearest tenth

Mathematics
2 answers:
mel-nik [20]3 years ago
8 0

Answer:

x= 8.9

Step-by-step explanation:

Using our knowledge of trig functions

tan theta = opp/ adjacent

tan 25 = x /19

Multiply each side by 19

19 tan 25 = x

8.859845504944973263770117701191629574910197156776 =x

Rounding to the nearest tenth

8.9

AnnyKZ [126]3 years ago
6 0

Answer:

Step-by-step explanation:

Since this is a right angled triangle:

tan(∅) = opposite side/adjacent side

In this triangle:

tan(25°) = x/19

x = 8. 86 ≅ 8.9

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The volume of a cylinder is 54π cubic inches and the height is 6 inches. Find the radius.
Anika [276]

Answer:

The radius of the cylinder is 3 inches.

Step-by-step explanation:

For any given cylinder, the volume can be expressed as:

volume = \pir^{2}h

where r is the radius of its circular surface, and h is its height.

Given that: volume = 54π cubic inches, and the height = 6 inches.

then,

54\pi = \pi x r^{2} x 6

54\pi  = 6\pir^{2}

r^{2} = \frac{54\pi }{6\pi }

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r = \sqrt{9}

r = 3

The radius of the cylinder is 3 inches.

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Answer:

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Step-by-step explanation:

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