2 years ago

find the length of the hypotenuse of a right triangle with legs of 12 ft and 16 ft. A 11 ft. B 18 ft. C 20 ft. D 28 ft

Mathematics

1 answer:

9966 [12]2 years ago

3 0

C 20ft, shoukd be the answer.

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A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c

otez555 [7]

Answer:

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting $V=78$ in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

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3 years ago

a set of angels has a ratio of 5:2 . If the larger angle measures 105 degrees then what is the measure of the smaller angle

Igoryamba

Answer:

Step-by-step explanation:

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3 years ago

If the nth term of a number sequence is n’ – 3,<br> find the first 3 terms and the 10th term.

Diano4ka-milaya [45]

Answer:

First 3 terms: -2, -1, 0

10th term: 7

Step-by-step explanation:

n = 1,

n - 3 = 1 - 3 = -2

n = 2,

n - 3 = 2 - 3 = -1

n = 3,

n - 3 = 3 - 3 = 0

n = 10,

n - 3 = 10 - 3 = 7

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2 years ago