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tigry1 [53]
3 years ago
5

What is the exact circumference of the circle?

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Hello!

What is the exact circumference of the circle?

A.

10π feet  

B.

20π feet  

C.

40π feet  

D.

60π feet

Solving: Using the data  (Circle with center A and diameter of 20 feet labeled).

diameter = 2*radius

20 = 2*r

2\:r = 20

r = \dfrac{20}{2}  

\boxed{r = 10\:ft}

Formula: (Circle length)

\boxed{C = 2* \pi *r}

Now, replace in the circumference length formula:

C = 2\:\pi *r

C = 2\:\pi *10

\boxed{\boxed{C = 20\:\pi\:ft}}\end{array}}\qquad\quad\checkmark

Answer:  

B.  20π feet

\underline{The\:exact\:circumference\:of\:the\:circle\:is\:\:20\:\pi\:ft}

______________________________

I Hope this helps, greetings ... Dexteright02! =)

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Step-by-step explanation:

The first step in factorising polynomials is to find the smallest factor first. The way to do this is with trial and error. Lets see if x+1 is a factor.

According to the factor theorem, (x-a) is a factor of P(x) if and only when P(a) = 0

In this case we will use f(x) = ((x)^3)-((10x)^2)-53x-42

f(-1) = 0

Therefore (x+1) is a factor of the polynomial.

Now we divide the polynomial with (x+1) via long division to get (x^2)-11x-42.

We now factorise (x^2)-11x-42 using whatever method you would like. I'm going to use the AC method, where we find a number that multiplies to AC and adds to B, In this case AC = -42, and B = -11.

Therefore (x^2)-11x-42 factosied is (x-14)(x+3)

Now merge (x+1) with (x-14)(x+3)

The final answer is (x+1)(x-14)(x+3)

If this has helped, please consider making this the Brainliest answer!

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The table below summarises the number of books in some students' schoolbags.
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Now, to find the total number of students;

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Answer:

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Weight of sour candies = 30lbs

Step-by-step explanation:

We are told in the question that :

Chocolate candies worth $2.50 per pound

Sour candies worth $0.90 per pound. How much of each kind of candies should she combine to get 60 lb of mixed candies worth $1.70 per pound?

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Therefore, she should combine 30lbs of chocolate candies and 30lbs of sour candies to get 60 lb of mixed candies worth $1.70 per pound.

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