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slega [8]
3 years ago
12

What is the volume of a cylinder with a height of 16.5 m and a base with a radius of 8.9 m, to the nearest tenth of a cubic mete

r?
Mathematics
1 answer:
Contact [7]3 years ago
6 0

Answer:V=4106.48\ m^3

Step-by-step explanation:

Given

height of cylinder h=16.5\ m

base of radius is r=8.9\ m

Now volume of cylinder is given by

V=\pi r^2h

V=\pi (8.9)^2(16.5)

V=1306.965\pi

V=4106.48\ m^3

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Answer

a. a_(n)= 3+5n
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The sum of three consecutive integers is three more than twice the middle integer. Create an equation and solve to find the inte
12345 [234]
Three consecutive integers...
Let call the first integer as ''x''.
They are consecutive integers. So, we have: x, x+1, x+2.
The sum is (x+(x+1)+(x+2)).
The sum is three more than twice the middle integer (x+1). So, we get the following equation:

3*(x+(x+1)+(x+2)) = 2*(x+1)

Let's solve the equation:
1. Multiplying...
3x + 3x + 3 + 3x + 6 = 2x + 2

2. Adding the terms...
9x + 9 = 2x + 2

3. Let's subtract 2x from both sides...
9x - 2x + 9 = 2x - 2x+ 2

7x + 9 = 2

Now, let's subtract 9...
7x + 9 - 9 = 2 - 9
7x = -7

Now, divide both sides by 7...
7x/7 = -7/7

So, we have:
x = - 1

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7 0
4 years ago
Classify each description as either an observational study or an experiment.
Eva8 [605]

Answer:

1. Experiment

2. Observation study

3. Experiment

4. Observation study

5. Experiment

Step-by-step explanation:

Observational study Vs. Experiment

  • An observational study is a study where researchers simply collect data based on what is observed and give results based on the data collected.
  • There is no control over the variables in an observational study.
  • An experiment is a method of applying treatments to a group and recording the effects.
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1. This is an experiment as people were divided into groups and treatment were given.

2. This is an observational study as no treatment was done on the people just political preference was measured on the basis of collected data.

3. This is an experiment as farmers were divided into groups and effects of a new pesticide was tested.

4. This is an observational study as the data collected told about effect of exercise on lowering the risk of cancer and no experiments were carried out.

5. This is an experiment as people were divided into groups and cholesterol was measured with and without exercise.

7 0
3 years ago
Determine if S could lie on the perpendicular bisector of QR with the given coordinates
Alex

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

5 0
2 years ago
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