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3 years ago

What shape is generated when rectangle ABCD is rotated around the vertical line through A and D?

Mathematics

2 answers:

stealth61 [152]3 years ago

7 0

Answer:

<h2>C. Cylinder.</h2>

Step-by-step explanation:

When we rotate a rectangle around a vertical axis, we generate a cylinder.

All surface figures that can create a volumetric figure like this case, they are called Surface of Revolution, which is defined as all surfaces created by rotating a curve.

In this case, that curve is a rectangle, which by definition creates a cylinder.

Therefore, the right answer is C.

katovenus [111]3 years ago

3 0

Answer:

C. Cylinder

Step-by-step explanation:

When a rectangle is rotated about a vertical line then the shape generated is a cylinder.

Thus the rectangle ABCD rotated about AD will form a cylinder.

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Note: Figure not drawn to scale.

ycow [4]

Answer:

this is very simple

its 2342423424324343

Step-by-step explanation:

4 0

2 years ago

A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es

Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

$\sigma = 3.10\text{ milligrams}$

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

$z_{critical}\times \dfrac{\sigma}{\sqrt{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65$

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0

2 years ago

Write an expression for the following situation and solve it. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then g

Nitella [24]

Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

4 0

2 years ago

A probability experiment will consist of selecting one student at random from your math class. Is the probability that the selec

kumpel [21]

Not likely because in my class we have more boys then girls
m=27
f=5

8 0

2 years ago

Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value

kondaur [170]

<h3>Answer: false</h3>

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

8 0

3 years ago