A manufacturer of metal washers needs to determine the cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is r, express the area of the washer as a polynomial. Factor this polynomial completely.

Answers

Answer 1

Answer:

A=π(R+r)(R-r) is the factorization of the polynomial.

What is Polynomial?

Factoring a polynomial exists expressing the polynomial as a product of two or more factors; it stands somewhat like the reverse process of multiplying.

A polynomial exists as an expression consisting of indeterminates (also named variables) and coefficients, that concern only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

The hole in the washer will never contain an area because it does not occupy any surface of the object.

The area of any circle is $\pi r^(2)$ .

To discover the area of this washer, take the area of the outer circle minus the area of the inner circle (the hole).

$A=\pi R^(2)-\pi r^(2)$

$A=\pi\left(R^(2)-r^(2)\right)$

The term $\left(R^(2)-r^(2)\right)$ is a difference in perfect squares.

$A=\pi(R+r)(R-r)$

To learn more about Polynomial refer to:

brainly.com/question/1600696

#SPJ2

Answer 2

Answer: The c.s.a. is found by subtracting the area of the hole from the total area (including the hole):
$c.s.a.=\pi R^(2)-\pi r^(2)$
Factorizing completely we get:
$c.s.a.=\pi(R+r)(R-r)$

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The hypotenuse of a right triangle is 6 inches and one of the legs is √ 6 inches, the exact value of the other leg is _______ inches.A. 15
B. √ 15
C. 30
D. √ 30

Answers

Answer:

The answer is the option D

$√(30)\ in$

Step-by-step explanation:

we know that

In a right triangle

Applying the Pythagoras Theorem

$c^(2) =a^(2)+b^(2)$

where

c is the hypotenuse

a and b are the legs

In this problem we have

$c=6\ in\na=√(6)\ in$

substitute and solve for b

$6^(2) =(√(6))^(2)+b^(2)$

$36 =6+b^(2)$

$b^(2)=30$

$b=√(30)\ in$

The answer is D
Cause it is right triangle, so through Pythagorean theorem, you can know the answer

Simplify 3j - {2k - [5h - (3j + k)]}.-3h - 5k
3h - 5k
5h - 3k
-5h - 3k

Answers

If you would like to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The correct result would be 5h - 3k.

Answer:

to simplify 3j - {2k - [5h - (3j + k)]}, you can do this using the following steps:

3j - {2k - [5h - (3j + k)]} = 3j - {2k - [5h - 3j - k]} = 3j - {2k - 5h + 3j + k} = 3j - 2k + 5h - 3j - k = - 3k + 5h = 5h - 3k

The the answer is 5h - 3k.

Step-by-step explanation:

Simplify with steps 9 to 3/2 power

Answers

$9^(3/2)$
9= $3^(2)$
= $3^(2)$ ^3/2
=27

The sum of three consecutive numbers is 84. what is the largest of these numbers? 26 27 28 29

Answers

Answer:

The largest number is 29.

Step-by-step explanation:

Let the numbers be = x , x+1 , x+2

As given, their sum is 84, we can write as:

$x+x+1+x+2=84$

=> $3x+3=84$

=> $3x=84-3$

=> $3x=81$

x = 27

So, x+1= $27+1=28$

And x+2 = $27+2=29$

Hence, the largest number is 29.

The largest of the three consecutive numbers whose sum equals to 84 is 29.

Pleas helpThe cube has a volume of 27 in3.

Find the volume of a scaled image with a scale factor of 2.

? in3

Cube with a side length of three inches

Answers

Actual cube has sides ∛27 = 3 inches.

When you scaled it with a factorof two, each side will become 3 x 2 = 6 inches.

The volume of the new cube is (6 in)^3 = 216 in^3

Realize that you could calculate it by raising the scale factor to the third power.

2^3 = 8

27 x 8 = 216

*- 27 cubed by 2!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Subtract 4 ounces from 5 pounds.3 lb., 12 oz.
5 lb., 6 oz.
4 lb. 12 oz.
3 lb., 8 oz.

Answers

Answer is 4 lb.,12 oz. As one pound has 16 ounces. When we convert the given 5 lb. into ounces we multiply it by 16. 5 lb = 5 x 16 oz 5 lb = 80 oz When we subtract 4 oz from 80 oz We get 80 - 4 = 76 oz Which is 64 oz + 12 oz (16 x 4) oz + 12 oz Which will be 4 lb. + 12 oz So the answer will be 4 lb., 12 oz.

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A manufacturer of metal washers needs to determine the​ cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is​ r, express the area of the washer as a polynomial. Factor this polynomial completely.

Answers

What is Polynomial?

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A manufacturer of metal washers needs to determine the cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is r, express the area of the washer as a polynomial. Factor this polynomial completely.