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Setler [38]
3 years ago
9

Which solid of revolution is produced by rotating the shape below 360° about the given axis?

Mathematics
1 answer:
maxonik [38]3 years ago
5 0
<h3>Answer: Choice A</h3>

Explanation:

When we rotate a rectangle around an axis of symmetry, we end up with a cylinder. Think of a revolving door or a turbine. The flat door moves through 3D space to produce or carve out a 3D cylinder.

This figure is composed of two rectangles, so we'll end up with two cylinders. They will both share the same center, so we'll have a sideways two-layer wedding cake structure when everything is said and done. This points to choice A as the final answer.

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Answer:

2     0     -2      -4

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
7) 4b2 + 8b + 7 = 4<br> What the answer
Anit [1.1K]

4b² + 8b + 3 = 0

4b² + 2b + 6b + 3 = 0

2b(2b + 1) + 3(2b + 1) = 0

(2b + 3)(2b + 1) = 0

b = -1/2 or b = -3/2

8 0
3 years ago
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Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of
valina [46]

To achieve his goal of paying off $430,000 in 10 years, Rob Herndon needs to make $34,186.97 at 5% compounded annually.

<h3>What is a future value?</h3>

A future value refers to a value on a future date based on an assumed growth rate of interest over time.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

<u>Results:</u>

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

Learn more about Calculating Future Values at brainly.com/question/24703884

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7 0
2 years ago
Prove that tan60+tan70-tan50+tan10=2sqrt3?
LiRa [457]
{tan(60) + tan(10)}/{1 - tan(60)*tan(10)} - {tan(60) - tan(10)}/{1 + tan(10)*tan(60)} 

<span>ii) Taking LCM & simplifying with applying tan(60) = √3, the above simplifies to: </span>

<span>= 8*tan(10)/{1 - 3*tan²(10)} </span>

<span>iii) So tan(70) - tan(50) + tan(10) = 8*tan(10)/{1 - 3*tan²(10)} + tan(10) </span>

<span>= [8*tan(10) + tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= [9*tan(10) - 3*tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3 [3*tan(10) - tan³(10)]/{1 - 3*tan²(10)} </span>

<span>= 3*tan(30) = 3*(1/√3) = √3 [Proved] </span>

<span>[Since tan(3A) = {3*tan(A) - tan³(A)}/{1 - 3*tan²(A)}, </span>
<span>{3*tan(10) - tan³(10)}/{1 - 3*tan²(10)} = tan(3*10) = tan(30)]</span>
8 0
3 years ago
Suppose that a sample of size 100 is to be drawn from a population with standard deviation L0. a. What is the probability that t
NARA [144]

Answer:

The probability that the sample mean will lie within 2 values of μ is 0.9544.

Step-by-step explanation:

Here

  • the sample size is given as 100
  • the standard deviation is 10

The probability that the sample mean lies with 2 of the value of μ is given as

                                            P(| \bar{X}-\mu|

Here converting the values in z form gives

P(-2

Substituting values

P(-2

From z table

P(z\leq 2)=0.9772\\P(z\leq -2)=0.0228\\P(-2\leq z\leq 2)=P(z\leq 2)-P(z\leq -2)\\P(-2\leq z\leq 2)=0.9772-0.0228\\P(-2\leq z\leq 2)=0.9544\\

So the probability that the sample mean  will lie within 2 values of μ is 0.9544.

5 0
3 years ago
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