A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each section is painted a different color. The radius of the circle is 10 meters. What is the area of each section of the circle

Answers

Answer 1

Answer:

The area of each section of the circle is 25\pi\ m^{2}25π m2

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}A=πr2

we have

r=10\ mr=10 m

substitute

A=\pi (10^{2})=100\pi\ m^{2}A=π(102)=100π m2

To find the area of each section divide the complete area of the circle by 44

so

100\pi\ m^{2}/4=25\pi\ m^{2}100π m2/4=25π m2


Related Questions

Factorize
a⁴-3a²b²+b⁴​

Answers

Answer:

(a⁴-3a²b²+b⁴)/(a²-ab-b²)

Let me know if there is something wrong to my answer ^_^

Answer:

hope it will helpfulll to youuu

Let u = <-7, -2>. Find 4u.

Answers

Answer:

<-28, -8>

Step-by-step explanation:

you multiply the values by 4 because that's what the question tells you to do.

if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)

O(Q0) A(2,0), B(3, 2) and C(1, 2) are the vertices of quadrilateral OABC. Translate quadrilateral by translation vector [0,2]​

Answers

Answer:

A'(2,2) B'(3,4) C'(1,4) O'(Q,2)

Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2

Answers

Answer:

x < 0.5

Step-by-step explanation:

Given

2(1 - x) > 2x ( divide both sides by 2 )

1 - x > x ( add x to both sides )

1 > 2x ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] > x , that is

x < [tex]\frac{1}{2}[/tex] OR x < 0.5

1. Can cross multiplication be used to solve this problem? Why or why not?


HELP

Answers

Answer:

Step-by-step explanation:

Cross multiplication can be used but not in the beginning. First x should be isolated.

[tex]3 +\frac{5}{x}=\frac{7}{x}\\\\[/tex]

Now subtract [tex]\frac{5}{x}[/tex] from both sides

[tex]3 = \frac{7}{x}-\frac{5}{x}\\\\3=\frac{7-5}{x}\\\\3=\frac{2}{x}[/tex]

In this stage, cross multiplication can be used.

[tex]\frac{3}{1}=\frac{2}{x}\\\\3*x=2*1\\\\x = \frac{2}{3}[/tex]

Answer:

x =0 and x =2/3

Step-by-step explanation:

as is no

but if you put an x under the 3 to make 3x/x

then you'd have 3x+5/x = 7/x

to make

3x^2 + 5x = 7x

this makes

3x^2 -2x =0

using the quadratic formula

answers

x =0 and x =2/3

PLZ I NEED ANSWER ILL GIVE BRAINLIEST

Answers

Answer:

2

Step-by-step explanation:

x coordinate = 2, y coordinate = 4.
(2,4)

Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!

Answers

Answer: $83.94

Step-by-step explanation:

20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

15. ABCD is a cyclic quadrilateral in which
AB = BC and ABC = 70°.
AD produced meets BC produced at the
point P, where APB = 30°.
Calculate
a) ADB
b) ABD

Answers

Answer:

a) ∠ADB is 55°

b) ∠ABD is 45°

Step-by-step explanation:

a) In the cyclic quadrilateral ABCD, we have;

Segment AB = Segment BC

∠ABC = 70°

Therefore, ∠ADC = 180° - 70° = 110° (Opposite angles are supplementary)

∠ADC + ∠CDP = 180° (Sum of angles on a straight line)

∴ ∠CDP = 180° - ∠ADC

∠CDP = 180° - 110° = 70°

∠DCP = 180° - 70° - 30° = 80°, (Angle sum property)

Similar to ∠DCP = ∠DAB = 80° (Exterior angle of a cyclic quadrilateral)

∠CAB = ∠ACB = (180° - 70°)/2 = 55° (Base angles of isosceles triangle ΔABC)

∠ADB = ∠ACB = 55° (Inscribed angle of a circle subtended by the same chord)

∠ADB = 55°

b) ∠ABD = 180° - ∠DAB - ∠ADB

∴ ∠ABD = 180° - 55° - 80° = 45°

∠ABD = 45°

What is the measure of angle ABC of a circle

Answers

Answer:

the angle <ABC is equal to 65°

help.........................​

Answers

Answer:

solution

here,

Step-by-step explanation:

f={(2,1/2), ( 3, 1/3) , (4, 1/4)}

Range = { / (\ frac 12\) , \ (\ frac 13\) ,

\( \ frac 14\ )}

Inverse function ( f-^1 ) = {( 1/2, 2) ,( 1/3 ,3) , 1/4, 4 )} is the required answer

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?

Answers

Answer:

3

Step-by-step explanation:

We are going to be using cofunction identity cos(90-x)=sin(x).

Apply to either side but not both.

cos(22f − 1) = sin(7f + 4)

sin(90-[22f-1])=sin(7f+4)

90-[22f-1]=7f+4

Distribute

90-22f+1=7f+4

Combine like terms

91-22f=7f+4

Add 22f on both sides

91=29f+4

Subtract 4 on both sides

87=29f

Divide 29 on both sides

3=f

f=3 is between 0 and 90

Answer:

The answer is "3."

Step-by-step explanation:

Just submitted the test and got the answer correct!

What is the product of 3/5 and 25. Is the product more or less than 14? Explain your answer in complete sentences.
(3/5 is a fraction Not Disvison )

Answers

Answer:

15, The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

Step 1: Set up equation

[tex]\frac{25}{1}*\frac{3}{5}[/tex]

Step 2: Cross reduce

you can cross reduce 25 and 5 because they are both share a common divisor

[tex]\frac{5}{1} *\frac{3}{1}[/tex]

Step 3: Multiply numerator and denominator together

[tex]\frac{15}{1}[/tex]

Final Answer:

15

The answer is greater than 14 because when you multiply the 2 fractions you get a number that is greater than 15

help me solve this problem please

Answers

Step-by-step explanation:

nope guy but little you now

The weights of certain machine components are normally distributed with a mean of 8.04 g and a standard deviation of 0.08 g. Find the two weights that separate the top 3% and the bottom 3%. (These weights could serve as limits used to identify which components should be rejected)

Answers

Answer:

The bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Step-by-step explanation:

We are given that

Mean, [tex]\mu=8.04 g[/tex]

Standard deviation, [tex]\sigma=0.08g[/tex]

We have to find the two weights that separate the top 3% and the bottom 3%.

Let x be the weight of  machine components

[tex]P(X<x_1)=0.03, P(X>x_2)=0.03[/tex]

[tex]P(X<x_1)=P(Z<\frac{x_1-8.04}{0.08})[/tex]

=0.03

From z- table we get

[tex]P(Z<-1.88)=0.03, P(Z>1.88)=0.03[/tex]

Therefore, we get

[tex]\frac{x_1-8.04}{0.08}=-1.88[/tex]

[tex]x_1-8.04=-1.88\times 0.08[/tex]

[tex]x_1=-1.88\times 0.08+8.04[/tex]

[tex]x_1=7.8896[/tex]

[tex]\frac{x_2-8.04}{0.08}=1.88[/tex]

[tex]x_2=1.88\times 0.08+8.04[/tex]

[tex]x_2=8.1904[/tex]

Hence, the bottom 3 is separated by weight 7.8896 g and the top 3 is separated by weight 8.1904 g.

Multiply by using suitable rearrangement: 2 × 4 × 8 × 50 × 125. I need this answer. Quick. Ok, How about I give 15 points? Yeah cool just answer.

Answers

Answer:

[tex]2 \times 4 \times 8 \times 50 \times 125 \\ \\ = 400000[/tex]

Please help asap, how do I find the missing variables? (Trigonometry)

Answers

Answer:

x = 5.333 , y= 9.620764575

Step-by-step explanation:

sin(29)/x = sin(90)/11

x = 11* sin(29)/sin(90)

x = 5.333

(5.333)^2 + y^2 = 121

y^2 = 121 - (5.333)^2

y= 9.620764575

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What is the
circumference of Earth's equator?
(Hint. Earth's circumference at the equator is equal to the distance that Earth rotates around the equator).

Answers

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. Which table represents this proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 12, 16. Column 2 is labeled Raisins (y) with entries 2, 8, 12.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 3, 6. Column 2 is labeled Raisins (y) with entries 8, 12, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 3, 8, 12. Column 2 is labeled Raisins (y) with entries 2, 16, 24.
A 2-column table with 3 rows. Column 1 is labeled Peanuts (x) with entries 2, 8, 12. Column 2 is labeled Raisins (y) with entries 3, 12, 18.

Answers

Answer:

Table 4 is the answer. Step-by-step explanation: Bethany is making trail mix with 3 cups of raisins for every 2 cups of peanuts. So, the ratio of peanuts to raisins is 2 : 3.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

GOT IT RIGHT edge 2021

If the price of a gallon of gas was $0.89 in 1984 and was $3.59 in 2014, what was the average rate of change in the price per gallon of gas?

Answers

Answer:

0.09

Step-by-step explanation:

avg rate of change is:  change in y/ change in x

so it´d be   3.59 - 0.89 / 2014 - 1984

= 2.7/ 30

= 0.09

note:

The slope formula and the average rate of change formula are the same, just written a bit different, so you could also use:

y2 - y1 / x2 - x1

plss answer someone the bottom question qracias

Answers

0.6(180) is the same as asking the question - What is 60% of 180?

To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.

0.6 x 180 = 108

Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.

1/10 of 180 = 18

18 x 6 = 108

Hope this helps!

Please help me here. I've tried this one over and over and I'm unable to get the answer that was given. How do I find the area of this triangle?

Answers

Answer:

jjdjdjdj and technology and technology and technology and technology and technology

What is the y-intercept of the line 10x - 5y = 40

Answers

10x - 5y = 40

-5y = -10x + 40 || : (-5)

y = 2x - 8

Solve an equation to find the missing angle

Answers

11.

[tex]6x = 30 \\ x = \frac{30}{6} \\ x = 5[/tex]

Missing angle:

[tex]6x \\ = 6 \times 5 \\ = 30[/tex]

_________________________________________

12.

[tex](4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = \frac{174}{6} \\ x = 29[/tex]

Missing angle 1:

[tex](4 + 5x) \\ = 4 + (5 \times 29) \\ = 4 + 145 \\ = 149[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

13.

[tex]5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = \frac{168}{8} \\ x = 21[/tex]

Missing angle 1:

[tex]5x \\ = 5 \times 21 \\ = 105[/tex]

Missing angle 2:

[tex](3x + 12) \\ = (3 \times 21) + 12 \\ = 63 + 12 \\ = 75[/tex]

_________________________________________

14.

[tex]32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = \frac{54}{6} \\ x = 9[/tex]

Missing angle:

[tex](6x + 4) \\ = (6 \times 9) + 4 \\ = 54 + 4 \\ = 58[/tex]

_________________________________________

15.

[tex](2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = \frac{87}{3} \\ x = 29[/tex]

Missing angle 1:

[tex](2x + 1 ) \\ = ( 2 \times 29) + 1 \\ = 58 + 1 \\ = 59[/tex]

Missing angle 2:

[tex]x + 2 \\ = 29 + 2 \\ = 31[/tex]

_________________________________________

16.

[tex](3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = \frac{85}{5} \\ x = 17[/tex]

Missing angle 1:

[tex](3x + 1) \\ = (3 \times 17) + 1 \\ = 51 + 1 \\ = 52[/tex]

Missing angle 2:

[tex](4 + 2x) \\ = 4 + (2 \times 17) \\ = 4 + 34 \\ = 38[/tex]

Georgia bought a pair of flip-flops that cost $3.46 and a pair of slip-on shoes that cost $9.87.
She paid a total of $ for the two pairs of shoes.

Answers

Answer: The cost for the two pairs of shoes is $13.33

Step-by-step explanation:

Since we have given that

Cost of pair of flip flops = $3.46

Cost of pair of slip on shoes = $9.87

We need to find the cost of two pairs of shoes.

Cost of two pairs of shoes = Cost of pair of flip flops + Cost of pair of slip on shoes

[tex]cost=3.46+9.87=13.33[/tex]

the cost for the two pairs of shoes is $13.33.

Question 12 (5 points)
Determine the value of x

0.28 units
0.98 units
3.58 units
1.12 units

Answers

Answer:

1.12 Units

Step-by-step explanation:

1. Use cos(56°) = x/2

Make sure your calculator mode is in deg (degree) not rad(radians)

2.  2(cos(56°)) = x

3. x = 1.118385807

4. Round up to get 1.12 Units

If f(x) = k where k is a constant, and the points (6,1) and (8,1) lie on the graph of y = f(x), what is the value of f(0)?
I think the answer is 1 but not 100% sure.

Answers

Answer:

The value of f(0)=1

Step-by-step explanation:

We are given that

[tex]f(x)=k[/tex]

[tex]y=f(x)[/tex]

(6,1) and (8,1) lies on the graph of y=f(x)

We have to find the value of f(0).

[tex]f(6)=1[/tex]

[tex]f(8)=1[/tex]

[tex]f(x)=k[/tex]

By comparing ,we get

k=1

Therefore, [tex]y=f(x)=1[/tex]

Now, substitute x=0

[tex]f(0)=1[/tex]

Hence, the value of f(0)=1

You have job were you are paid (p) $1,000 a month plus $15.00 for every hour (h) you work. You work 150 hrs (h), how much money did you make?

Answers

Answer:

15 x 150 = 2250

2250 + 1000 = 3250

you make $3250,00

plzzzz help me outttt!!!! asap thank you!

Answers

Answer:

a

Step-by-step explanation:

answer is a + c

please help I will give brainliest ​

Answers

Answer:

the second one I think it is the second one

find the sum of the series
√2 - 2 + 2√2 +__+64√2.

Answers

Step-by-step explanation:

The question is not clear to me

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