MATHEMATICS HIGH SCHOOL

The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.

Answers

Answer 1
Answer:

Answer:

A = 90.25 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

19pi = 2*pi*r

Divide each side by 2 pi

19pi / 2 pi = 2*pi*r/ 2pi

9.5 = r

The area is given by

A = pi r^2

A = pi ( 9.5)^2

A = 90.25 pi in^2
Answer 2
Answer:

Answer:

The area of circle is 90.25 π inches².

Step-by-step explanation:

Given:-

Circumference of circle is 19 π in.

To Find :-

Area of circle

Solution :-

Firstly, we need to find radius of circle

Using formula

Circumference of circle = 2 π r

substitute the value

19 π inches = 2 π r

Divide each side by 2 π

19 π inches / 2 π = 2 π r / 2 π

9.5 inches = r

Now, Finding the area of circle

Using formula

Area of circle = π × r²

Where,

  • r, radius of circle = 9.5 inches

Substitute the values

Area of circle = π × ( 9.5 inches)²

Evaluate the exponent

Area of circle = π × 90.25 inches ²

multiply ,we get

Area of circle = 90.25 inches²

Hence, the area of circle is 90.25 π inches².

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Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. (please i need help on this)
Is the sequence geometric? If so, identify the common ratio. 6, 12, 24, 48,
Lake City has a population of 3600 and is expected to grow by a factor of 1.3 every 10 years. Which is the best estimate of Lake City's population 50 years from now? A.23,400 B.18,000 C.13,400 D.4,680

F c(x) = 4x – 2 and d(x) = x2 + 5x, what is (C o D)(x)?A) 4x^3 + 18x^2 – 10x
B) x^2 + 9x – 2
C) 16x^2 + 4x – 6
D) 4x^2 + 20x – 2

Answers

The value for the compositefunction is 4x² + 20x - 2.

Option D is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find (C o D)(x), we need to substitute d(x) into c(x) and simplify the resulting expression.

First, we have:

C(D(x)) = 4D(x) - 2

Next, we substitute d(x) for x in the expression for D(x):

D(x) = x² + 5x

So,

C(D(x)) = 4(x² + 5x) - 2

Simplifying, we get:

C(D(x)) = 4x² + 20x - 2

Therefore,

The value for the compositefunction is 4x² + 20x - 2.

Learn more about functions here:

brainly.com/question/28533782

#SPJ7
\bf \begin{cases}c(x)=4x-2\n\nd(x)=x^2+5x\end{cases}\qquad thus\n\n\n(c\circ d)(x)\implies \begin{array}{llll}c(x)=&4x-2\n\nc[\ d(x)\ ]=&4(dx)-2\n\nc[\ \boxed{x^2+5x}\ ]= &4(\boxed{x^2+5x})-2\end{array}

distribute and simplify

5x^2+3x-6x^3+4x^2+2x^3-x+10 when this polynomial is simplified, what is the coefficient of x^3?

Answers

The polynomial would simplify to:
-4x^3 + 9x^2 + 2x + 10
Therefore the coefficient of x^3 would be -4.

So could someone help me on this

Answers

Answer:

B. -6

Step-by-step explanation:

hope this helps!

Answer:

-6

Step-by-step explanation:

from (-6,-4) to (x,8) there are already 12 spaces in between the y- axis from -4 to 8. So because there are already 12 spaces in between you dont need to add any space between x and -6 so you can conclude that if x is -6 then there will be 12 spaces inbetween because of -4 and 8

What is the mixed number of 4/3

Answers

To find the mixed number:-

4/3 is an improper fraction.

How many times can 4 go into 3?

once, so the whole number is 1.

4-3 = 1

1 remainder, so 1 is the numerator.

1  1/3

Final answer:  1  1/3
4/3= 1 1/3

The final answer is 1 1/3~

12. Daniel scored a 90% on his first math test. If Daniel worked 18 problems correctly, how many problems were on the test?​

Answers

Answer:

20

Step-by-step explanation:

Simplifies to 9/10 which is 90%. Hope this helps!

Translate the algebraic expression shown below into a verbal expression.x/4
The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four

Answers

Hello,

answer D

the result of a division is called a quotient.
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