Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically

Find The Formula For The Area A And The Perimeter P Of The Shape Shown Find The Area And Perimeter When

Answers

Answer 1

Answer:

1)Area; A = ¼πr²

Perimeter; P = πr/2 + 2r

2)A = 19.63 cm²

P = 17.85 cm

3) r = 8.885 cm

4) r = 14 cm

Step-by-step explanation:

This is a quadrant of a circle. Thus;

Area of a circle is πr². A quadrant is a quarter of a circle. Thus;

Formula for Quadrant Area is; A = ¼πr²

A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.

Formula for the quadrant perimeter in the image given is;

P = 2πr/4 + 2r

P = πr/2 + 2r

B) When r is 5 cm;

A = ¼π(5)²

A = 19.63 cm²

P = π(5)/2 + 2(5)

P = 17.85 cm

C) when A is 100cm²:

¼πr² = 100

r² = 100 × 4/π

r² = 78.9358

r = √78.9358

r = 8.885 cm

D) when P = 50 cm.

50 = πr/2 + 2r

50 = (½π + 2)r

r = 50/(½π + 2)

r = 14 cm


Related Questions

12x 5 =(4x 2 )(C)12, x, start superscript, 5, end superscript, equals, left parenthesis, 4, x, squared, right parenthesis, left parenthesis, C, right parenthesis C=

Answers

Answer:

3x³

Step-by-step explanation:

Given the expression

12x^5 =(4x^2 )(C)

We are to find the value of C

Rewriting the equation will give;

(4×3)x²•x³ = 4x²C

4x²•3x³ = 4x²C

Divide both sides by 4x²

4x²•3x³/4x² = 4x²C/4x²

3x³= C

Hence the function C is 3x³

A student performed the following steps to find the solution to the equation
X2 - 2x - 8 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x - 4) and (x - 2)
Step 2. X-4 = 0 and x - 2 = 0
Step 3. x = 4 and x = 2
A. in Step 2
B. in Step 1
C. The student did not make any mistakes, the solution is correct
D. in Step 3

Answers

Answer:(b) step 1

Step-by-step explanation:

The wrong step in the student's workings is step 1

How to determine the wrong step?

The equation is given as:

x^2 - 2x - 8 = 0

Expand the equation

x^2 + 2x - 4x - 8 = 0

Factorize the equation

x(x + 2)- 4(x + 2)

Factor out x + 2

(x - 4)(x + 2) = 0

The above means that the factored equation of x^2 - 2x - 8 = 0 is (x - 4)(x + 2) = 0

This means that the step 1 of the student's step is wrong and incorrect

Read more about equations at:

https://brainly.com/question/2972832

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PLZ HELP IM BEGGING

Answers

Answer:

-x+y= -14 (get this equation to where you can easily plug it in for a variable)

y= x -14

5x +6y =26 (plug the value above in for y and then solve)

5x + 6 (x-14) = 26 (use the distributive property)

5x +6x - 84 = 26 (combine like terms on the left side)

11x - 84 =26 (add 84 to both sides)

11x = 110 (divide both sides by 11 to isolate the x-variable)

x= 10 (this is the value for x. plug it into the easier equation and solve)

-(10) +y = -14

y= -4

(10, -4) (this is the solution for the system of equations)

While on vacation in Bloomington, Ashley went out for a dinner that cost $20. If sales tax in Bloomington is 10% and Ashley left a 15% tip on $20, what was the total cost of her meal?

Answers

Answer:

$25

Step-by-step explanation:

Given that:

Cost of Ashley's dinner in Bloomington = $20

Sales tax = 10%

Tip = 15% on $20

To find:

Total cost of the meal ?

Solution:

Let us find the sales tax first of all.

Sales tax is 10% of the total bill.

Therefore, sales tax = 10% of $20

[tex]\Rightarrow \dfrac{10}{100}\times 20\\\Rightarrow \$2[/tex]

Tip left is 15% of the total bill.

Therefore, tip = 15% of $20

[tex]\Rightarrow \dfrac{15}{100}\times 20\\\Rightarrow \$3[/tex]

Now, total cost of the meal = Food cost + Sales tax + tip

Total cost of the meal = $20 + $2 + $3 = $25

Help with the whole thing please and thanks

Answers

1a. closest to 1

b. closest to 0

2a. closest to 1

b. closest to 1/2

Numb 3. Ain't clear.

4. Not sure.

5a. closer to 1

b.closer to 1/2

c. 3/4 - 5/12 = 1/3

6. 26/15

7. 7/18

8. 47/240

9. 191/225

10. 11/60

11. 81/200

Challenge The numbers of home runs a baseball player hits during spring training and during the regular season for four years are shown. Decide if the relationship between home runs hit in spring training and during the regular season is proportional. If the table represents a proportional relationship, find how many home runs are hit during the regular season if the player hit 3 during spring training​

Answers

Answer:

12

Step-by-step explanation:

Key word: Most likely

First try to find the constant of proportionality

8/2= 4

4/4= 1

20/5=4

24/6=4

Since it says most likely we would say the constant of proportionality is 4.

Since they are asking for 3 homes runs we will do 3 times 4

[tex]3[/tex]×[tex]4=12[/tex]

The player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

What is constant of proportionality?

The constant of proportionality is the ratio between two directly proportional quantities.

Two quantities are directly proportional when they increase and decrease at the same rate.

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Finding the constant of proportionality :-

8/2= 4

4/16= 4

20/5=4

24/6=4

Since, the constant of proportionality is 4.

And, they are asking for 3 homes runs we will do 3 times 4

Therefore, 3 x 4 = 12

Hence, the player will hit 12 home runs are hit during the regular season if the player hit 3 during spring training.

Learn more about constant of proportionality click;

https://brainly.com/question/29153656

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182632929236+188274739393974473

Answers

Answer:

the answer id

188274922026903709

Answer:

Exact Form: 188274922026903709

Decimal Form: 1.88274922*10^17

Step-by-step explanation:

Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!

Answers

Answer:

3 and 7

Step-by-step explanation:

A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.

Answers

total = green marbles + red marbles + blue marbles

55 = 15 + 12 + blue marbles

55 = 27 + blue marbles

55 - 27 = blue marbles

28 = blue marbles

A number n is no more than 8.

Answers

Answer:

n<8

Step-by-step explanation:

Answer: N < 8

Step-by-step explanation:

There were 45 runners to start a race. In the first half of the race 2/3 of them dropped out. In the second half 2/5 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer:

18 racers finished.

Step-by-step explanation:

In the first half, 30 racers dropped out, because 2/3 of 45 is 30. In the 2nd half, 12 racers dropped out, because that is 2/5 of 30. So, in the end, 18 racers finished. (I might have done this wrong i did my best)

Create an expression with at least 10 terms that would simplify to 5x^ 3 +9x^ 2 -x-6 Try to create something different than what others have created.‍♀️

Answers

Answer:

-x^3 + 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2-9x + 8x-5-1

Step-by-step explanation:

Here, we want to have an expression of at least ten terms which when simplified would give polynomial

We have the expression as

x^3 - 2x^3+ 4x^3 + 3x^2 + 7x^2-x^2+ 2x^2-9x + 8x-5-1

rewrite the algebric expression using disstributive property

5(2x+7)

Answers

Answer: 10x +35 :) explanation: I did a test

44 mi/h ≈ _______________ yd/min

Answers

1290.67 tha the answer

help please i have an f!!

Answers

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y

Which number is equivalent to?

Answers

So, we have 2^3/3^3
= 2^3/3^3 = 2 times 2 times 2/3 times 3 times 3
= 8/27
So, in conclusion, the final answer is 8/27 so, you should go with D 100%!

What is 2.75 times 8

Answers

Answer:

the answer is 22

you can put it on a calculator

16) Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He
is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
OA) $15
OB) $16
OC $32
OD) $80

Answers

Answer:

B) $16

Step-by-step explanation

Write the equation of a line with a slope of 3 that passes through (-3,2).

Answers

Answer:

y = 3x + 11

Step-by-step explanation:

Substitute the information into the point-slope form equation.

Point-slope form: y - y₁ = m(x - x₁)

y - 2 = 3(x - (-3))

y - 2 = 3(x + 3)

y - 2 = 3x + 9

y = 3x + 11

HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION

Answers

Answer:

34.06°

Step-by-step explanation:

25 is the length of the hypotenuse side and 14 is the length of the opposite side.

Therefore, you will need to use sine to work out the missing angle.

sinx = opp / hyp

sinx = 14 / 25

x = sin ^ -1 (14 / 25)

= 34.06°

Hello! I need help PLZ!! If anyone knows I would appreciate it! Thank you so much! :)

(4 screenshots included)

Answers

Answer:

its either b or d

Step-by-step explanation:

b or d is the answer

plz help me with math :)

Answers

Answer:

it would be 3 in the first box and 24 in the other

Step-by-step explanation:

because the ratio is 3 years to 24 montsh most of the time the larger number is on the left and the smaller number is on the right and 3 years is more than 24 months 24 months is only two years

Please help me if you can​

Answers

Answer:

1)-9x^5 + 7x^2 + 3    2)  -2x2 • (x - 7)      3)  -23v^2 + 7v + 4    4) is just 7x

Please help down below

Answers

Answer:

The answer is B

Hope this helps

Answer:

The first answer

Explanation:

Ok I added an explanation lol-

So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)

C doesn't even make sense 6-6

And D isn't 5 2/5 it's 7 2/5

A line passes through the points (-8, 7) and (-11,-11). Find the value of a such 1 point
that the point (-7,a) lies on the line. a=
Your answer

Answers

Answer:

a=12

Step-by-step explanation:

we need the slope of this line. Find it with the slope formula

m= y2-y1 / x2-x1    with the points given p1=(-8,7)  and p2=(-11,-11)

m=-11-7 / -11-(-8)                                               (x1,y1)               (x2,y2)  

m= -18 /-11+8

m= -18 / - 3

m= 6

next plug in one of the point into the point-slope formula [y-y1=m(x-x1)]

y-7=6(x-(-8))  ( simplify this towards the slope intercept form [y=mx+b]

y-6=6(x+8)

y-6=6x+48

y=6x+54

now we can plug in our point of (-7,a) to find what a is

a=6(-7)+54

a=-42+54

a=12

:)

calculate the rise and run to find the slope of the line ​

Answers

Answer:

3

Step-by-step explanation:

To find the slope of the line, you can use the formula rise/run.

Every time the graph moves one unit across the x-axis, it moves three spaces up. Therefore,

Rise = 3

Run = 1

Now to plug this into our formula:

3/1 = 3

The slope of the line is 3.

A tornado is located between city hall and a cell phone tower and is heading towards the cell phone tower. By what angle does the tornado’s direction need to change so that it passes over the radar station instead?

Answers

Answer:

the amount of angle the hall is so prob like 5

Step-by-step explanation:

you provided insufficient details to answer

Answer: 30 degrees

Step-by-step explanation:

2 interior angles of 75 degrees.

75+75=150.

180-150=30

What is the solution for 3x =9

Answers

The answer to your question is 3

x = 3

Divide each term by  3  and simplify.

In the equation y=4 over 3 x +5 what is the slope and y-intercept

Answers

Answer:

Slope = [tex] \frac{4}{3} [/tex]

Y-intercept = 5

what is 9741 divided by 45

Answers

Answer:

216.466666667

Step-by-step explanation:

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