If the area of a circle is 324 cm, find:
Its circumference in terms of pi

Answers

Answer 1

Answer:

20.3π cm

Step-by-step explanation:

Area of a circle = 324 square cm

    πr² = 324

   [tex]\frac{22}{7}*r^{2}= 324\\\\ r^{2} = \frac{324*7}{22}\\\\ r^{2}= 103.09\\\\ r =\sqrt{103.09}\\\\[/tex]

  r = 10.15 cm

Circumference = 2πr

                         = 2 *  π * 10.15

                         = 20.3π cm

     


Related Questions

Please help me understand this problem.

Answers

Answer:

[tex]\frac{31}{45}x[/tex]

__________________________________________________________

Step-by-step explanation:

We are given:

3[tex]\frac{1}{5}x[/tex] + 10[tex]\frac{7}{9}x[/tex] - 2[tex]\frac{2}{5}x[/tex] - 10[tex]\frac{8}{9}x[/tex]

Concepts used:

Evaluating Mixed fractions and Adding like terms

Simplifying the Mixed Fractions:

to simplify these mixed fractions, we will multiply the whole number part with the fraction's denominator and add that to the numerator.

The number formed will be given the same denominator as of the fraction part in the number

After simplifying these mixed fraction, we get:

[tex]\frac{16}{5}x + \frac{97}{9}x - \frac{12}{5}x - \frac{98}{9}x[/tex]

Adding and Subtracting the like terms:

to simplify our calculations, we will pair the numbers with the same denominator

[tex](\frac{16}{5}x - \frac{12}{5}x) + (\frac{97}{9}x - \frac{98}{9}x)[/tex]

Simplifying the terms in the brackets

[tex]\frac{4}{5}x - \frac{1}{9}x[/tex]

Taking the LCM and simplifying

[tex]\frac{36}{45}x - \frac{5}{45}x[/tex]

Since the denominators are equal, the numerators can now be subtracted

[tex]\frac{31}{45}x[/tex]

Therefore, simplifying the given series of number gives us 31x/45

If the time is given in months, you must first _____________ by 12.

Answers

Answer:

Multiply

Step-by-step explanation:

I'm assuming you are turning months into years to do so you would multiply the time in months by 12 to get the time in years

Y'all what it 10/7 divided by 4

Answers

Answer:

.........

Step-by-step explanation:

10/7 x 1/4

10x1/7x4

10/7x4

10/28

5/14

Hope I helped

5/14 is your answer

Which theorems prove that triangles SRP and QRP Are Congruent. Check
all that apply*

A. SSS
B. SAS
C. AAS
D. ASA
E. HL

Answers

Given:

The figure.

To find:

The theorems that proves triangles SRP and QRP are congruent.

Solution:

From the given figure, it is clear that in triangle SRP and QRP,

Hypotenuse of triangles : [tex]PS=PQ[/tex]             (Given)

Legs of triangles : [tex]SR=QR[/tex]             (Given)

Since, hypotenuse and one leg of first triangle is equal to the hypotenuse and corresponding leg of another triangle, therefore, both triangles are congruent by HL postulate of congruence.

[tex]\Delta SRP\cong \Delta QRP[/tex]            (HL postulate of congruence)

Therefore, the correct option is E .

Please help me ill give you brainlest

Answers

Answer:

12.25 and 12.6 per hour

Step-by-step explanation:

For number 2, you take the amount of cookies, x, and divide it by the number of hours, a, and you get x / a = 12.25 or 12.6

For number 3, you do the same as in number 2, you take the pages read, x, divided by the time, a, and get x / a = s

s = 2 and 0.5

Convert 240 meters into hectometer with solution​

Answers

Answer:

Step-by-step explanation:

1 metre = 0.01 hectometre

240 metre = 2.4 hectometre

Please help out , thank you

Answers

Answer:

4

Step-by-step explanation:

According to my knowledge the country that had a government in the 1930s and early 1940s that was autocratic was Germany (4).

The answer is 4 that the answer

I don't- I don't know i need help

Answers

Answers:

Monthly gross pay =  $7650.68

Annual gross pay = $91808.16

Explanation:

To get the monthly gross pay, you double the semi-monthly gross pay. In other words, you multiply by 2.

Once you know how much you earn per month, you multiply that by 12 to get your annual pay.

The term "gross" in financial terms means the amount of money before taxes and other fees apply. The net pay is after taxes and other fees are deducted from your paycheck. This means the net pay is going to be smaller than the gross pay.

Heeelpp asapp

Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 54.7°F​, what will be the temperature when the plane reaches an altitude of 4,000 ft​?

Answers

Answer:

IYEs

Step-by-step explanation:

YEs

What is the value of
26 - 16 / 2 + 3 * 4 =

A. 32
B. 30
C. 6
D. 22

Answers

B) 30

Step-by-step explanation:

i hope this helps :)

I WILL MARK BRAINIEST
Please help it’s due

Answers

Answer:

m4 = 90 - x

m1 = 90 - x

m5 = 90 + x

Step-by-step explanation:

m4 = 90 - x

m1 = 90 - x

m5 = 180 - (90 - x)

m5 = 90 + x

Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2

Answers

Answer:

a, b, c

25x4 + 40x − 40x − 64, 25x4 + 13x − 13x − 64, (5x2 + 8)(5x2 − 8)

Step-by-step explanation:

The expressions that are equivalent to 25x⁴ - 64 are; Options A, B and C

How to simplify the Algebra?

We want to find the expression equal to 25x⁴ - 64

A) 25x⁴ + 40x − 40x − 64 = 25x⁴ - 64

B) 25x⁴ + 13x − 13x − 64 = 25x⁴ - 64

C) (5x² + 8)(5x² - 8)

Expanding the bracket gives;

⇒ 25x⁴ - 64

D) (x² + 13)(x² - 13)

Expanding the bracket gives;

⇒ x⁴ - 169

E) (5x² - 8)²

Expanding the bracket gives;

⇒ 25x⁴ - 5x² + 64

Looking at all the answers, only options A, B and C are correct

Read more about simplification of Algebra at; https://brainly.com/question/723406

1. In a supermarket, each orange costs $3, and each apple costs $2. If you want to spend
exactly $45, write an equation in standard form modeling this situation. Let o represent
the number of oranges you buy, and a represent the number of apples you buy.

Answers

Answer:

3o  + 2a = $45 ( you can buy 9 oranges and 9 apples)

Step-by-step explanation:

First I divided 45 by 3 and I got 15 so now I know that 15 is the highest amount of oranges I can buy without going over $45. I also know that 15 cannot be an answer because I also have to buy apples.

Then I divided 45 by 2 and 22 was the highest whole number.

Now I would play trial and error BUT i know that the number for oranges have to be less that 15 and the number for apples has to be less than 22.

3 times 9 equals 27 (oranges)

45 - 27 = 18

2 times 9 equals 18 (apples)

3o+2a =$45 is the  equation in standard form modeling this situation.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that in a supermarket, each orange costs $3, and each apple costs $2.

Let o represents the number of oranges you buy

and a represent the number of apples you buy.

If you want to spend exactly $45

We have to find the equation to model this situation

3o+2a =$45

Hence, 3o+2a =$45 is the  equation in standard form modeling this situation.

To learn more on Equation:

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Find the area of each figure.
10 mm
15 mm
B mm
30 mm

Answers

Answer:370mm^3

Step-by-step explanation:

You would first find the area of the whole rectangle without the hole, so (15)(30)=450

Next find the area of the hole, (8)(10)=80

To find the area you must subtract the area of the hole from the rectangle.

450-80=370

round 446,662 to the nearest hundred thousand

Answers

Answer:

400,000

Step-by-step explanation:

446 is the closest to 400 so 400,000

pls mark brainliest

Answer:

400,000 is the correct answer

Step-by-step explanation:

just round the 4.

jermey has a weekend job as soccer referee. one weekend, he earns $140 by working 4 games. another weekend he earns $210 by working 6 games. if jeremy graphed an equation that represented his total earning based on the number of games worked, what would be the slope of the graph

Answers

Answer:Jeremy's weekend work would follow the equation of the standard line. The equation of the standard line is y=mx+b. b= 0, The slope of the line is equal to m, where m according to the given problem is equal to 35. Every hour of Jeremy weekend would pay $35.

Jeremy's equation

y= 35x

m=35

I think the answer is 35

Find the slope using the formula.
(9,-5) and (-2,9)

Answers

Answer:

14/-11

Step-by-step explanation:

use the slope formula ( y2-y1/x2-x1)

Answer:[tex]-\frac{14}{11}[/tex]

Step-by-step explanation: Formula (y2-y1)/(x2-x1)

(9+5)/(-2-9) = [tex]-\frac{14}{11}[/tex]

Adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall. Approximately what percent of the adult male population is taller than the average basketball player? (2 points)

a
0.135%

b
0.875%

c
49.875%

d
99.875%

Answers

This answer did not come from me but credit to ApusApus
We have been given that adult male heights are normally distributed with a mean of 70 inches and a standard deviation of 3 inches. The average basketball player is 79 inches tall.
We need to find the area of normal curve above the raw score 79.
First of all let us find the z-score corresponding to our given raw score.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,



Now we will find the P(z>3) using formula:


Using normal distribution table we will get,


Let us convert our answer into percentage by multiplying 0.00135 by 100.

Therefore, approximately 0.135% of the adult male population is taller than the average basketball player and option A is the correct choice.

Which represents the value of Point C on the number line?

Answers

Answer:

1

Step-by-step explanation:

If H between J and K and JH = x + 5 and HK = 2x + 10 and JK = 33. what is JH?​

Answers

The answer to your question is 11

Solve the fraction 11/12 + 1/2 + 3/4

Answers

Answer:

2 1/6

Step-by-step explanation:

find common denominator: 12

11/12

1/2=6/12

3/4=9/12

add:

11/12+6/12+9/12=26/12

simplify:

26/12=13/6=2 1/6

hopefully this helps :)

ok so you need to make them all have the same denominator which would be 12. 11/12 + 6/12 + 9/12= 26/12 that would be improper form, mixed for would be 2 2/12 but that isnt simplest for so make it 2 1/6

Simple answer
Mixed Form: 2 1/6
Improper Form: 26/12

1. If f(x) = 5X - 2 Find f(4)

Answers

Answer:18

f(x) = 5x - 2

=> f(4) = 5.4 - 2 = 20 - 2 = 18

Step-by-step explanation:

Answer:

18 hope it will help you

which other expression has the same value as (-14)-8? Explain your reasoning

Answers

Answer:

It would be D. (-14)+(-8)

Step-by-step explanation:

It is D. Because when you add -8 and -14 you would get the answer -22

Hope this helps!

Find a point on the line and the line's slope. y+5=1/2(x+1)

Answers

Answer:

slope is 1/2

y intercept is (0, -92)(9,0)

Step-by-step explanation:

The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x (in
feet).

Answers

Answer:

[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

[tex] x = 8.7 ft [/tex]

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️[tex] 5.62 + 3.65 + 5.62 + x = 23.59 [/tex]

Solve for x

[tex] 14.89 + x = 23.59 [/tex]

Subtract 14.89 from each side

[tex] 14.89 + x - 14.89 = 23.59 - 14.89 [/tex]

✔️[tex] x = 8.7 ft [/tex]

Aisha has $100 saved from her job. She wants to buy as many charms for her bracelet, at $4 each and earrings at $5 per set, as she can without spending all of her money. The inequality represents her spending, where x is the number of charms and y is the number of sets of earrings. 4x + 5y < 100 SAMSUNG Which ordered pair (x, y) represents a combination of charms and earrings Aisha can buy? A. (16,8) B. (15,8) C. (9, 13) D. (6, 15) E. , (5, 16)​

Answers

Answer:

The answer is D

Step-by-step explanation:

6 times 4 is 24

15 times 5 is 75

75 + 24 = 99

The rest of the answers go over 100

The ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).

What is inequality?

The relation between two unequal expressions is defined as inequality.

The given inequality is 4x+ 5y <100.

(A) Check the inequality for (16,8):

4(16) + 5(8) < 100

64 + 40 < 100

104 < 100

The inequality is false.

(B) Check the inequality for (15,8):

4(15) + 5(8) < 100

60 + 40 < 100

100 < 100

The inequality is false.

(C) Check the inequality for (9,13):

4(9) + 5(13) < 100

36 + 65 < 100

101 < 100

The inequality is false.

(D) Check the inequality for (6,15):

4(6) + 5(15) < 100

24 + 75 < 100

99 < 100

The inequality is true, hence, (6,15) represents a combination of charms and earrings Aisha can buy.

(E) Check the inequality for (5,16):

4(5) + 15(16) < 100

20 + 240 < 100

260 < 100

The inequality is false.

Hence, the ordered pair that represents a combination of charms and earrings Aisha can buy is (6,15).

To learn more about inequalities, click here:

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What are two different coin combinations that can equal 30% of a dollar?

Answers

3 dimes, 30 pennies , a quarter and a nickel , a dime and 20 pennies. (just add up to 30)

PLZZ NEED HELPP ANDD FASSTT ⚠️⚠️⚠️⚠️

Answers

Answer:

d

Step-by-step explanation:

Answer:

the answer for your question is B.

Does anyone know this answer

Answers

Answer:

the third option

Step-by-step explanation:

by shifting it up 3, you just add 3 to -7 which is -4

by shrinking it a factor of 1/2, you multiply -2 by 1/2 which is -1

PLEASE HELP, ILL GIVE YOU 15

Answers

Answer:

2700

Step-by-step explanation:

9x20x15= 2700

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