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3 years ago

Find the volume of a right cylinder with a diameter of 18 inches and a height of 20 inches. *

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

Answer: 5086.8π inches cubed

Step-by-step explanation:

First, the formula is V=πr²h (v = volume, r = radius, and h = height)

Then, lets convert the diameter to radius by dividing by 2.

18 / 2 = 9

Now lets plug in our numbers!

V = 3.14 · 9² · 20

V = 3.14 · 81 · 20

V = 3.14 · 1620

V = 5086.8

Hope this helps you :)

Mama L [17]3 years ago

4 0

i came out with the answer, 5089.38

its not in your options tho......

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Blocks numbered 0-9 are placed in a box and a black is randomly picked the probability of picking an odd prime number is

Andrews [41]

Answer:

Step-by-step explanation:

$B_n = 0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\B_p = 2, 3, 5, 7\\B_{o_p} = 3, 5, 7\\$

There are 3 odd primes, namely : 3, 5, 7

The total amount of blocks is 9

The odds of picking and odd prime is $\frac{3}{9} \cdot 100\% = 33,(3)\%$

6 0

2 years ago

Given a triangle MTN, prove that

cupoosta [38]

Answer:

$\angle m + \angle t + \angle n = 180$

Step-by-step explanation:

Required

Show that:

$\angle m + \angle t + \angle n = 180^o$

To make the proof easier, I've added a screenshot of the triangle.

We make use of alternate angles to complete the proof.

In the attached triangle, the two angles beside $\angle m$ are alternate to $\angle t$ and $\angle n$

i.e.

$\angle 1 = \angle t$

$\angle 2 = \angle n$

Using angle on a straight line theorem, we have:

$\angle 1 + \angle m + \angle 2 = 180$

Substitute values for (1) and (2)

$\angle t + \angle m + \angle n = 180$

Rewrite as:

$\angle m + \angle t + \angle n = 180$ -- proved

5 0

2 years ago

Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.

Kryger [21]

Answer:

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one

1. y =sinx: False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx: True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x: False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

6 0

2 years ago

How do I solve this?

Nezavi [6.7K]

Answer: 3

Step-by-step explanation: m=2 so 7.5x2 = 15

15/5 is 15 divided by 5 so the answer is 3

7 0

2 years ago

Read 2 more answers

What percent of 59 is 44.1? Round the answer to the nearest hundredth of a percent if necessary.

olga nikolaevna [1]

Answer:

133.78684807256

Step-by-step explanation:

step 1: We need the assumption that 44.1 is 100% since it is our output value

step 2: We need to represent the value we seek in x

step 3: From step 1, it follows that 100% = 44.1

step 4: In the same vein x% = 59

step 5: This give us a pair of simple equations:

100% = 44.1 (1)

x% = 59 (2)

step 6: by simplify dividing equation 1 by equation 2 and taking note of the fact that both the LHS (left hand side) of both equations have the same unit (%); we have

$\frac{100}{x} = \frac{44.1}{59}$

step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x}{100 } = \frac{59}{44.1}$

= x = 133.78684807256

Therefore, 59 is 133.78684807256% of 44.1

4 0

2 years ago