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pychu [463]
3 years ago
8

A circle has an area of 36pi square inches. Find the radius

Mathematics
1 answer:
zmey [24]3 years ago
6 0
<span>circle area = </span>πr²   ⇒

\pi r^2=36 \pi  \\ r^2= \frac{36 \pi }{ \pi }  \\ r^2=36 \\ r= \sqrt{36}  \\ r=6 \ in
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The solutions of x^2= 16x-28
STALIN [3.7K]

Answer:

Simplifying

x2 = 16x + -28

Reorder the terms:

x2 = -28 + 16x

Solving

x2 = -28 + 16x

Solving for variable 'x'.

Reorder the terms:

28 + -16x + x2 = -28 + 16x + 28 + -16x

Reorder the terms:

28 + -16x + x2 = -28 + 28 + 16x + -16x

Combine like terms: -28 + 28 = 0

28 + -16x + x2 = 0 + 16x + -16x

28 + -16x + x2 = 16x + -16x

Combine like terms: 16x + -16x = 0

28 + -16x + x2 = 0

Factor a trinomial.

(2 + -1x)(14 + -1x) = 0

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying

2 + -1x = 0

Solving

2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.

2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0

0 + -1x = 0 + -2

-1x = 0 + -2

Combine like terms: 0 + -2 = -2

-1x = -2

Divide each side by '-1'.

x = 2

Simplifying

x = 2

Subproblem 2

Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying

14 + -1x = 0

Solving

14 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 0 + -14

-1x = 0 + -14

Combine like terms: 0 + -14 = -14

-1x = -14

Divide each side by '-1'.

x = 14

Simplifying

x = 14

Solution

x = {2, 14}

Step-by-step explanation:

I type fast lol

5 0
3 years ago
Read 2 more answers
The width of a rectangle is 7x - 6 feet and the length is 3x + 7 feet. Find the perimeter of the rectangle.
aliina [53]

Answer:

P= 20x+2 ft

Step-by-step explanation:

________

I                I

I                I       3x + 7ft

________

7x - 6ft

P= (7x - 6 + 7x - 6) + (3x + 7 + 3x + 7)

 = (14x - 12) + (6x + 14)

 = 20x + 2 ft

8 0
2 years ago
The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 54 square inches. Estimate its rad
Gnesinka [82]

Answer:

4.2

Step-by-step explanation:

First I did 54 divided by 3 which is 18.  Then I found the square root of 18.

3 0
3 years ago
Pls help me solve this problem!!
ddd [48]

Answer:

49.85

Step-by-step explanation:

41 is the mean, so half of the daily requests are above that number, half below, the question is about numbers above the mean, so the lower numbers won't be included in the percentage.

The difference between 59 and 41 is 18. The standard deviation given is 6.

18 ÷ 6 = 3  So that is 3 standard deviations. The empirical rule states that 99.7 of all values are within 3 standard deviations from the mean. But we are looking at only the upper half of those values so 99.7 ÷ 2 = 49.85 %

If the answer asks for approximate, you could round to 49.9 or 50.

And tell the math people to learn the correct spelling of fluorescent!

4 0
3 years ago
WILL GIVE BRAINLIEST
tiny-mole [99]

The expressions for each of the given statements are

a. 6 + z

b. 20 - x

c. x/6 - 8

d. x + 5/4

<h3>Writing an expression </h3>

From the question, we are to write an expression for each of the given statement

a. the sum of 6 and z

That is,

6 + z

b. the difference between 20 and x

That is,

20 - x

c. 8 less than the quotient of x divided by 6

That is,

x/6 - 8

d. x increased by 5 divided by 4

That is,

x + 5/4

Hence, the expressions for each of the given statements are

a. 6 + z

b. 20 - x

c. x/6 - 8

d. x + 5/4

Learn more on Writing an expression here: brainly.com/question/17651563

#SPJ1

4 0
1 year ago
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