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

100 x 77 + 72 ÷ 4 = ? (RIGHT ANSWER GETS BRAINLIEST)

Answers

Step-by-step explanation:

100*77+72/4

100*77+18

7700+18

7718

Answer:

Step-by-step explanation:

54 ×100=5400

5400+77=5477

5477÷2 = 2738.5

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?

Answers

Answer:


(7,3)


Hope this helps

¿Cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos?

Answers

Answer:

24.

Step-by-step explanation:

Para determinar cuántos números distintos pueden formarse con los dígitos 4, 5, 6 y 7 sin repetir ninguno de ellos se debe realizar el siguiente cálculo:

4, 5, 6 y 7 = 4 números

4 x 3 x 2 x 1 = X

12 x 2 = X

24 = X

Por lo tanto, con los dígitos 4, 5, 6 y 7 pueden formarse 24 números.

How do I find X in this problem

Answers

Answer: x = 16°

Step-by-step explanation:

This is a right triangle, which means all angles add up to 180°.One of the angle is already determined to be 90°, that means the sum of the other two angles must also be 90° in order to meet a total of 180°.

This means (x+26)° + 3x° = 90°.

Solve for x:

x + 26 + 3x = 90

x + 3x = 90 - 26

4x = 64

x = 64 ÷ 4 = 16°

Answer:

x = 16

Step-by-step explanation:

First you have to know the max degrees in this figure

Since the shape is a right triangle, then the max degrees is 180°

Now that box in the triangle indicates that the angle measures 90°

180° - 90° = 90°

so for both missing angles, we're going to create a equation that satisfy to 90°

[tex](x+26)+(3x)=90[/tex]

First subtract the 26 from both sides (on 90 and on the equation)

[tex]x+3x=64[/tex]   (We're left with this)

64 = 3x + x

64 = 3(16) + 16

64 = 48 + 16

64 = 64

x = 16

if p:q=1:2 and q:r=4:3,find p:q:r​

Answers

Answer:

2:4:3

Step-by-step explanation:

To Find :-

p : q : r .

Solution :-

By question ,

→ p :q= 1:2

→ q : r = 4 :3

Therefore ,

→ p/q × q/r = 1/2 × 4/3

→ p/r = 2/3

Again ,

→ p = 1/2q

→ r = 3/4 q

Henceforth ,

→ p : q : r

→ 1/2 q : q : 3/4q

→ 4/2q : 4q : 12/4 q

→ 2 : 4 : 3

Graph the solution set to this inequality. -4(x+ 3) ≤-2x

Answers

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
14
x
х
12

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, isosceles, equilateral, scalene and right angled triangle.

A right angled triangle is a triangle in which one of the angles is 90°. In a right angled triangle, the longest side is known as the hypotenuse and the side is opposite to the right angle.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given the question attached, using Pythagoras theorem:

18² = x² + 12²

324 = x² + 144

x² = 180

x = 13.42

Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.

Answers

Answer: random sampling

Step-by-step explanation:

Because psychologists generally use college students as research participants, the research does not involve random sampling.

Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.

y=x+2 y=-x +8 What is the solution for this system of equations?​

Answers

Answer:

x = 3     y = 5

Step-by-step explanation:

     y=x+2

+    y=-x +8

2y = 10

y = 5

y = -x + 8

5 = -x + 8

x = 3

What is the first step in solving the quadratic equation -5x^2+8=133?

taking the square root of both sides of the equation
subtracting 8 from both sides of the equation
squaring both sides of the equation
adding 8 to both sides of the equation

Answers

Answer:

Step-by-step explanation:

-5x²+8=133

-5x²=133-8

-5x²=125

x²=-25 ........... dividing 125 by -5

x=√-25..........Taking square root of -25

x=±5

Hope this might help you...

The first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

What is Equation?

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

The given equation is -5x²+8=133

Minus five times of x square plus eight equal to one hundred thirty three.

x is the variable in the equation.

We have to solve for x

-5x²+8=133

The first step is to isolate the variable x to do this we have to subtract 8 from both sides

-5x² = 125

Divide both sides by 5

x² = -125/5

x² =-25

Hence,  first step in solving the quadratic equation -5x²+8=133 is subtracting 8 from both sides of the equation.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

x = 25.540 degrees

Step-by-step explanation:

When computing the value of x, there are various ways to solve with given information.

The easiest way is to set up the equation: cos(20 degrees) = 24/x

Cosine is adjacent over the hypotenuse.

Multiplying x on both sides, and dividing by cos(20 degrees), we are left with x = 24/cos(20 degrees).Solving for it in a calculator, we are left with 25.540 degrees.

Need help on this question asap pleasee :)

Answers

Answer:

1/4

Step-by-step explanation:

What are the intervals of increase and decrease of the following graph!????7 points!!!

Answers

Jwjejrrifitnt rirodjeenwkwiejenej

Answer:

Step-by-step explanation:

The function is decreasing on (∞,∞)

The function never increases

Which segment is adjacent to∠N?

Answers

Answer:

SN

Step-by-step explanation:

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.

The triangle ΔNSJ is a right angle triangle in which the angle ∠NSJ will be a right angle that is 90°.

The line segment that is adjacent to angle ∠N will be NS and NJ. Then the correct options are A and B.

More about the triangle link is given below.

https://brainly.com/question/25813512

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According to class 8 please solve

Answers

Answer:

i) The value of x is 3.

ii) TE = 20cm

RN = 20cm

Step-by-step explanation:

According to the properties of rectangles,

The diagonals of rectangles are equal and bisect each other at 90°.

As per this,

OR = OT

[tex]2x + 4 = 3x + 1[/tex]

[tex]4 - 1 = 3x - 2x[/tex]

[tex]3 = x[/tex]

TE = 2OT

TE = 2(3x + 1)

= 6x + 2

= 6(3) + 2

= 18 + 2

= 20

RN = 2OR

RN = 2(2x + 4)

= 4x + 8

= 4(3) + 8

= 12 + 8

= 20

PLEASE HELP PLEASE!!!!! NO LINKS!!!

Answers

Answer:

Step-by-step explanation:

a)   profits = 30,000 + (30,000 * .05 * years)

P(y) = 30,000 + 1500y

b)  P(15) =  30,000 + 1500*(15)

P(15) = 52,500

An 80-mile trip is represented on a gridded map by a directed line segment from point M(3, 2) to point N(9,
13). What point represents 60 miles into the trip? Show your work and explain your reasoning.

Answers

Answer:

Step-by-step explanation:

If the distance from M to N is 80 miles and we want to find the coordinates of the point 60 miles into the trip, we are looking for the point 3/4 of the way from M to N, since 60 is 3/4 of 80. This is the process:

First we need to consider that MN is a directed vector. We first find the components of the directed vector, which is found in the change in x and the change in y. First step, then, looks like this:

<Δx, Δy> = <9-3, 13-2> = <6, 11> We will call those the x and y components of the vector (which comes from vector study in both physics and math, so if you don't understand that, it's ok! Just follow the process here and you'll be fine). Knowing that 60 is 3/4 of the way from M to N, we find 3/4 of both the x and y components, like this:

[tex]<\frac{3}{4}(6), \frac{3}{4}(11)>[/tex] which will give us 3/4 of the change in x and 3/4 of the change in y:

[tex]<\frac{18}{4},\frac{33}{4}>=<4.5,8.25>[/tex]

Since we are going 3/4 of the way from M to N, we add that component to the x and y coordinates of M, giving us 3/4 of the way from M to N, which translates to 60 miles of the 80 mile trip:

(3 + 4.5, 2 + 8.25) = (7.5, 10.25)

Those are the coordinates of the point that represents 60 miles into the 80 mile trip.

Find the value of "x" of given parallelogram​

Answers

Answer:

The answer is 1.5

Step-by-step explanation:

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 7 = 5x - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 7x - 5x = - 4 + 7 \\ \: 2x = 3\\x = \frac{3}{2} \\ x = 1.5[/tex]

i hope so..

what is the additive identity of rational number​

Answers

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

what is the length of segment SR?

Answers

ST = ST (Common)

RT = TQ (Given)

∠ RTS = ∠ SQT (Both 90°)

So, ∆ RTS ≅ ∆ QTS (By SAS congruency rule)

So, RS = QS (By C.P.C.T.)

=> 2x + 8 = 8x - 4

=> 8 + 4 = 8x - 2x

=> 12 = 6x

=> 12/6 = x

=> 2 = x

SR = 2x + 8 (Given)

=> SR = 2(2) + 8 (Putting the value of x)

=> SR = 4 + 8

=> SR = 12

Answer:

Step-by-step explanation:

how do you find the arc length of a semi-circle?

Answers

the arc length is calculated by the formula                                                                    [tex]\displaystyle\bf C=\frac{2\pi r}{360} \cdot\alpha[/tex]   then   [tex]\displaystyle\bf C=\frac{2\cdot 8 \pi }{360} \cdot180=8\pi=3,14\cdot8=25.12[/tex]   or it can be calculated using the circumference of the circle since we have a semicircle the circumference 2πr must be divided by 2  С=2πr:2=πr =8π=25,12

Find the area of the triangle from the coordinate plane.
Y
A
10-
5-1
с
B.
0
-20
-15
-10
-5

Answers

Answer:

Find the area of the triangle from the coordinate plane.

Y

A

10-

5-1

с

B.

0

-20

-15

-10

-5Step-by-step explanation:

Answer: Area=25

Adjacent side is 5
Opposite side is 10.
5x10=50
50/2=25

Formula: b•h/2

Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55

Answers

Answer:

20 foot.....................

Write the expression as an exponent:

5^8 x 25
6^15 x 36

Answers

Answer:

a.) 5¹⁰

b.) 6¹⁷

Step-by-step explanation:

a.) 5⁸ × 25

Write 25 in the exponential form with the base of 5.

5⁸ × 5²

To calculate product use exponent rule

5⁸+²5¹⁰

b.) 6¹⁵ × 36

Similarly, 6¹⁵ × 36

Write 25 in the exponential form with the base of 6.

6¹⁵ × 6²

To calculate product use exponent rule.

6¹⁵ + ²6¹⁷

Answer:

[tex] \displaystyle {5}^{10} [/tex]

[tex] \displaystyle {6}^{17} [/tex]

Step-by-step explanation:

Question-1:

we want to rewrite the following expression as an exponent

[tex] \displaystyle {5}^{8} \times {25}[/tex]

remember that 25 is the square of 5 therefore

[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]

recall that,

[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]

with that law we obtain:

[tex] \displaystyle {5}^{8 + 2} [/tex]

simplify addition:

[tex] \displaystyle {5}^{10} [/tex]

Question-2:

likewise Question-1 36 is the square of 6 Thus,

[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]

similarly apply law of exponent:

[tex] \displaystyle {6}^{15 + 2} [/tex]

simplify addition:

[tex] \displaystyle {6}^{17} [/tex]

hence,

we have written the expression as an exponent

The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:

Answers

Answer:

Moving 4 to the right on the x axis

Someone help me with this please

Answers

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

Help me please guys if you don’t mind

Answers

Answer:

[tex]5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)[/tex]

will give brainliest, look at the picture. HURRY PLSS

Answers

Answer:

triangle s

that is my answer

i will give brainliest

Answers

Hello,

Probability get a Bleu marble =5/12

Probability get a Red marble =4/12

Probability get a Green marble =3/12

p(B,R)=5/12*4/12=20/144

p(R,B)=4/12*5/12=20/144

p(B,G)=5/12*3/12=15/144

p(G,B)=3/12*5/12=15/144

p(R,G)=4/12*3/12=12/144

p(G,R)=3/12*4/12=12/144

p(2 marble different colours)= 2*(20+15+12)/144=94/144=47/72

A strawberry and banana juice blend is made with a ratio of strawberry to banana of 2:3. Fill in the table to show different proportional amounts. Amount of strawberry Amount of banana 1 b. Explain why these amounts are proportional.​

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

Let

[tex]S \to[/tex] Strawberry

[tex]B \to[/tex] Banana

[tex]S : B = 2 : 3[/tex]

Solving (a):

Complete the table

The table, to be complete, is not given; so, I will generate one myself.

[tex]\begin{array}{cccccc}S & {2} & {3} & {4} & {5} & {6} \ \\ {B} & {3} & {4.5} & {6} & {7.5} & {9} \ \end{array}[/tex]

The table is generated as follows:

[tex]S : B = 2 : 3[/tex]

Multiply by 1.5

[tex]S : B = 2 * 1.5 : 3 * 1.5[/tex]

[tex]S : B = 3 : 4.5[/tex]

Multiply by 2

[tex]S : B = 2*2 : 3*2[/tex]

[tex]S : B = 4 : 6[/tex]

And so on....

In summary, whatever factor is multiplied to S must be multiplied to B; in order to keep the ratio constant

Solving (b): Why the amount are proportion

Because the ratio is constant and it remains unchanged all through.

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