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notsponge [240]
2 years ago
8

What is the circumference (in inches) of a circle with radius of 5 inches? Use 3.14 for π.

Mathematics
2 answers:
ahrayia [7]2 years ago
5 0
Answer=31.42(rounded to the 100th)

C=2pi(r)

So 2*5=10

Then 10*pi and you get your circumference
sp2606 [1]2 years ago
3 0

Answer:

31.4in

Step-by-step explanation:

A circle's circumference is given by c=2πr.

Using this formula and the given radius (5), we can rewrite the equation to c=2×π×5, and simplify to c=10π.

From there, we want to replace π with 3.14. This gives the equation c=10×3.14.

This can be solved to c=31.4in.

**This content involves the circumference of circles, which you may want to revise. If this is required to be calculated by hand, you may need to revise multiplying with decimals too. I'm always happy to help!

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If f(x) = 2x2 and g(x)= x2 + 2x, which expression represents f(g(x))?
andre [41]

Answer:

f(g(x)) = 2(x^2 + 2x)^2

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Step-by-step explanation:

Given;

f(x) = 2x^2

g(x) = x^2 + 2x

To derive the expression for f(g(x)), we will substitute x in f(x) with g(x).

f(g(x)) = 2(g(x))^2

f(g(x)) = 2(x^2 + 2x)^2

Expanding the equation;

f(g(x)) = 2(x^2 + 2x)(x^2 + 2x)

f(g(x)) = 2(x^4 + 2x^3 + 2x^3 + 4x^2)

f(g(x)) = 2(x^4 + 4x^3 + 4x^2)

f(g(x)) = 2x^4 + 8x^3 + 8x^2

Hope this helps...

7 0
3 years ago
5/10 and 1/6 are equivalent ratios
CaHeK987 [17]

Answer:

1 : 5 2 : 10 3 : 15 4 : 20 5 : 25

Step-by-step explanation:

3 0
2 years ago
Last qestion if answered 40 points and brianlist and if right
Delicious77 [7]

Answer:

320 yards

Step-by-step explanation:

Alright, there was a lot of addition, and you're just gonna have to trust me, the answer is 320 yards

6 0
2 years ago
Mrs. Brown has 7 more boys than girls in her class and has a total of 29 students. Which of the following systems of equations c
BigorU [14]

Answer:

B = G + 7 and B + G = 29

Step-by-step explanation:

Let B = boys and G = girls. There are 7 more boys then girls. Set the equation:

B = G + 7

There are 29 students in total. Set the boys and girls equal to the total amount:

B + G = 29

B = G + 7 and B + G = 29 is your answer.

~

5 0
2 years ago
If the term of arthematic progression decrease in magnitude then common difference must be
Tpy6a [65]

We can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

An arithmetic progression is a sequence where every term is a sum of the previous term and a common difference.

If we suppose the first term of an arithmetic progression to be a, and the common difference to be d, then the arithmetic progression goes like this:

The first term, a₁ = a,

Second term, a₂ = a₁ + d = a + d,

Third term, a₃ = a₂ + d = a + 2d,

Fourth term, a₄ = a₃ + d = a + 3d, and it goes so on up to,

The n-th term, aₙ = aₙ₋₁ + d = a + (n - 1)d.

In the question, we are asked if the term of arithmetic progression decrease in magnitude then what can we say about the common difference.

As the magnitude of the term decreases, we can show that as:

The n-th term < The first term,

or, aₙ < a₁,

or, a + (n - 1)d < a,

or, a + (n - 1)d - a < a - a {Subtracting a from both sides},

or, (n - 1)d < 0.

Since, n > 1, (n - 1) > 0, thus we get the common difference, d < 0, that is, the common difference is negative.

Thus, we can say that if the term of arithmetic progression decrease in magnitude then the common difference must be <u>negative</u>.

Learn more about arithmetic progressions at

brainly.com/question/6561461

#SPJ4

8 0
2 years ago
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