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4 years ago

Please help me with this

Mathematics

1 answer:

Vikentia [17]4 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

2πr (230/360) = 2(3.142)(40) = 160.59 cm = circumference

160.59 = 2πr

base radius = 25.56 cm

Use pythagorean formula for semi-vertical height

40² = h² + 25.56²

h = 30.77 cm

volume = 1/3πr²h

V = 1/3(3.142)(25.56)²(30.77) = 21,053.98 cm³

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3 years ago

Read 2 more answers

Find the value of tan F rounded to the nearest hundredth , if necessary

spin [16.1K]

Using it's formula, it is found that the tangent of F is given by:

$\tan{F} = \frac{6\sqrt{85}}{85}$

<h3>How to find the tangent of an angle?</h3>

In a right triangle, the tangent of an angle is given by the length of the opposite leg divided by the length of the adjacent leg.

Researching the problem in the internet, it is found that for the <em>right triangle</em> in this problem:

The length of the opposite leg to angle F is of 6.

The length of the adjacent leg to angle F is of x.

The length of the hypotenuse is of 11.

Applying the Pythagorean Theorem, we have that:

$6^2 + x^2 = 11^2$

$36 + x^2 = 121$

$x^2 = 85$

$x = \sqrt{85}$

Considering that the tangent is the length of the opposite leg divided by the length of the adjacent leg, we have that:

$\tan{F} = \frac{6}{\sqrt{85}} \times \frac{\sqrt{85}}{\sqrt{85}} = \frac{6\sqrt{85}}{85}$

To learn more about tangent, you can take a look at brainly.com/question/24680641

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4 years ago

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3 years ago

Please help me with this​

Please help me with this