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Pachacha [2.7K]
2 years ago
14

Jason found a steel wire in a form of a circular ring that had a circumference 25.12 inches. What would be the diameter of the w

ire?
8 inches
4 inches
7.85 inches
12.5 inches
Mathematics
2 answers:
polet [3.4K]2 years ago
5 0

<u>Answer:</u>

8 inches

<u>Step-by-step explanation:</u>

The circumference of a circular ring of the steel wire = 25.12 cm

To find the diameter of the circular ring, we will first find the radius of the circular ring, using the circumference, and then multiply it by 2.

We know that:

<em>Circumference = 2\pi r</em>

25.12 = 2 x 3.14 x r

r = 25.12 / (2 x 3.14)

r = 4 inches

Therefore, the diameter of the circular ring will be 2 x 4 = 8 inches.

Cerrena [4.2K]2 years ago
4 0
The diameter would be twelve point five inches.
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3 years ago
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the sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find
Allushta [10]

Answer: 1st train = 364 mph, 2nd train = 356.2


Step-by-step explanation:

Train 1: x + 7.8

Train 2: x

Train 1 + Train 2 = Sum

x + 7.8 +     x      = 720.2

           7.8 + 2x = 720.2

                    2x = 712.4

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6 0
3 years ago
Find the sum of first 100 even numbers.​
alexdok [17]

Answer:

10100

Step-by-step explanation:

the sum of the first 100 even integers is equal to 10100.

7 0
2 years ago
Read 2 more answers
3.
Gwar [14]

Answer:

x = 3  and  x = -3

Step-by-step explanation:

In this problem, we are substituting for x.

Let us take a look at our given answers.

x = -13 and x = -3 would not work because the numbers would not add up to -5. Since we have the positive brackets (or whatever you call them.) surrounding the x variable, that means that all numbers that are plugged into x will be positive.

-13 will be turned into 13,

13 - 8  \neq  -5

So that is wrong.

x = 3 and x = 3 would work because plugging it in, all outcomes from the two numbers would be negative.

3 - 8 = -5

|-3|  - 8 = -5

True.

The third one won't work because of the same reasons as the first one.

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4 0
3 years ago
You wish to make an
Leokris [45]

Using the interest formulas, it is found that the values of the investment are given as follows:

  • Using simple interest, the value will be of $34,000.
  • Using compound interest, the value will be of $144,461.
  • Using continuous compounding, the value will be of $148,002.

<h3>Simple Interest</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = P(1 + rt)

In which:

  • P is the initial amount.
  • r is the interest rate, as a decimal.

In this problem, we have that the parameters are as follows:

P = 9000, r = 0.07, t = 40.

Hence:

A(t) = 9000(1 + 0.07 x 40) = 34200

<h3>Compound interest</h3>

A(t) = P\left(1 + \frac{r}{n}\right)^{nt}

n is the number of compounding, for quarterly n = 4, then:

A(t) = 9000\left(1 + \frac{0.07}{4}\right)^{4 \times 40}

A(t) = 144461

<h3>Continuous compounding</h3>

A(t) = Pe^{rt}

Hence:

A(t) = 9000e^{0.07 \times 40} = 148002

More can be learned about the interest formulas at brainly.com/question/25296782

#SPJ1

7 0
1 year ago
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