Mathematics High School

The radius of a circle is 10 meters. What is the area of a sector bounded by a 45° arc?
45°
r=10 m
Give the exact answer in simplest form.

The Radius Of A Circle Is 10 Meters. What Is The Area Of A Sector Bounded By A 45 Arc?45r=10 MGive The

Answers

Answer 1

Answer:

The area of the circular sector is approximately 39.269 square meters.

Step-by-step explanation:

A circular sector is a segment of a circle, whose area ([tex]A[/tex]), measured in square meters, is determined by this formula:

[tex]A = \frac{\theta}{2} \cdot r^{2}[/tex] (1)

Where:

[tex]\theta[/tex] - Central angle, measured in radians.

[tex]r[/tex] - Radius, measured in meters.

If we know that [tex]\theta = \frac{\pi}{4}[/tex] and [tex]r = 10\,m[/tex], then the area of the circular sector is:

[tex]A = \frac{\pi}{8} \cdot (10\,m)^{2}[/tex]

[tex]A \approx 39.269\,m^{2}[/tex]

The area of the circular sector is approximately 39.269 square meters.

Answer 2

Answer:

39.269

Step-by-step explanation:

Related Questions

what degrees did Rosa Parks earn?
Plzzz help

Answers

Answer:

she Earned freedom and justice

Mrs. Parks received more than forty-three honorary doctorate degrees, including one from SOKA UNIVERSITY, Tokyo Japan, hundreds of plaques, certificates, citations, awards and keys to many cities. Among them are the NAACP's Spingarn Medal, the UAW's Social Justice Award, the Martin Luther King, Jr.

A solution containing 94.4 mL of carbon tetrachloride, CCl4, dissolved in 250.0 mL of nitrobenzene, C6H5NO2, was placed in the freezer, which dropped the temperature to 0°C. Did the solution freeze at that temperature? If so, at what temperature? The density of CCl4 is 1.59g/cm3. The density of C6H5NO2 is 1.2 g/cm3.

Answers

Answer:

No, it would freeze at -16.61°C.

Step-by-step explanation:

6*10^8 is how many times as large as 2*10^3?

Answers

300,000 I hope this helps!

Answer:

300000

Step-by-step explanation:

What is the 7th term of the sequence below? 2, 10, 50, 250, …

Answers

12,500
I think but I’m not sure lol

12 passengers in 3 cars

Answers

Answer:

4 people in each car

Step-by-step explanation:

12 divided by 3

Find the measure of the missing angle. *
156°
?
20°
35°

Answers

149

How to:
A four sided shape equals to 360 degrees

Write a recursive formula for the sequence: −3, 34, −316, 364, −3256

Answers

Answer:

-7

Step-by-step explanation:

What is the greatest common factor of the number pair 6x and 9x

Answers

Answer:

gcf is 3x. pls mark brainliest

Step-by-step explanation:

khanya builders are paid R480 for 8 hours of work,whiles rex builders are paid R660 for 12 hours of work.which company is paid the higher rate​

Answers

Answer:

khanya pays higher

Step-by-step explanation:

You have to find the $/hr ratios:

khanya's is 480/8->$60/hr

rex's is 660/12->%55/hr

Khanya pays the higher rate

helppp me on this
Twentycharacters

Answers

Answer:

yes

Step-by-step explanation:

The perimeter of a rectangular jewelry store is 244 feet. It is 49 feet wide. How long is it?

Answers

Answer:

195ft

Step-by-step explanation:

244-49=195

Find the product.
(x-3)(x+5)

Answers

Answer:

x2+5x-3x-15=x2+2x-15

Step-by-step explanation:

(x)(x)=x2,(x)(5)=5x

(-3)(x)=-3x,(-3)(5)=-15

Answer: X^2 + 8x -15

Step-by-step explanation:

Use the foil method.

First, outer, inner, last

Multiply the first numbers inside each parenthesis. X*X = x^2

Next multiply the outer number in each parenthesis. X*5 = 5x

Then multiply the inner numbers of the parenthesis. -3*x= 3x

Finally multiply the last numbers in the parenthesis. -3*5 = -15

Now add all of these together

X^2 + 5x + 3x + -15

Combine like terms

X^2 + 8x -15

X can be solved from here, however it does not seem that you are asked to solve for x

Can someone please help me

Answers

Answer:

SAS

Step-by-step explanation:

Side Angle Side because we already know that two of the sides are identical and we also know the values of one of the angles because they are opposites, so it is SAS.

The sum of the measurements of two angles is 107.3 . One angle has a measure of 51. What is the measure of the second angle.Write an inequality please ..

Answers

Answer:

bcthjhrthtgtgtvrb

Step-by-step explanation:

Answer:

juhgyftchhgjhku

Step-by-step explanation:

2(4x+1)<3(2x-3) solve the inequality

Answers

Answer:

x < - 11/2

Step-by-step explanation:

8x + 2 < 6x - 9

8x + 2 - 6x < -9

2x + 2 < -9

2x < - 9 - 2

2x < - 11

x < - 11/2

The scale on a map is 2 cm: 25 miles. The distance between the two cities on the map is 7 cm. What is the actual distance between the cities?

Answers

Answer:

87.5 miles

Step-by-step explanation:

2cm = 25 miles

7/2 = 3.5

3.5 x 25 = 87.5

Tanijah paid $4.00 for 5 organic peaches. How much did she pay per peach?

Answers

Answer:

80 cents i think if i did my math right

Step-by-step explanation:

80 times 5 is 400

2/3(x+6)=-8 whats the value of x?

Answers

Answer:

x=-18

Step-by-step explanation:

Answer:

The answer is -18

Step-by-step explanation:

STEP 1:

[tex]3 \times \frac{2}{3} (x + 6) = 3( - 8)[/tex]

2(x+6) = -24

______________________________________

STEP 2:

Divide both sides by 2:

[tex] \frac{2(x + 6)}{2} = \frac{ - 24}{2} [/tex]

________________________________

STEP 3:

Simplify:

[tex]x + 6 = - 12[/tex]

Subtract 6 from both sides:

[tex]x + 6 - 6 = - 12 - 6[/tex]

________________________________

STEP 4:

[tex]x = - 18[/tex]

Therefore, your answer is -18.

Ask more questions if you don’t understand! :)

The area of a trapezoid is 15 cm2. The height is 3 cm, and the bases have lengths of 2x and 3x cm. Find x, and give the lengths of the two bases.

Answers

Answer:

x = 2, bases are 4 cm and 6 cm

Step-by-step explanation:

Area formula:

A = 1/2(b1 + b2)h

Substitute the given values:

15 = 1/2(2x + 3x)(3)1/2(15x) = 15x = 2

The bases are:

b1 = 2*2 = 4 cmb2 = 3*2 = 6 cm

PLz help it will help me so much :]

Answers

Answer:

No, not enough information

Step-by-step explanation:

The information given can't help you determine the measurement of the angle, it just tells you the position of the angle.

x + 2y = 6
y = [?] x/? + ?

What’s the [?] a + or a - ?

Answers

Answer:

I think this is the answer I'm not 100% sure y = -1/2x + 3.

x + 2y = 6
2y = -x + 6
y = - 1/2x + 3

Les bought used books online. The paperbacks cost $2 each and the
hardcover cost $3 each. He spent no more than $90 on the books
and bought no more than 35 books. Let x represent how many
paperback books he bought, and y represent how many hardcover
books he bought. How many of each book did he buy?

Answers

Answer:

he bought 20 hard cover and

he bought 15 paper back

Step-by-step explanation:

3x20= 60

2x15=  30

           90

he’s right it’s 90 because it’s 90

Which of these needs to be completed first in order to construct a circle that circumscribes a triangle?

A. the perpendicular bisectors of any two sides of the triangle

B. the lines perpendicular to any two sides of the triangle

C. the altitudes of any two sides of the triangle

D. the medians of any two sides of the triangle

Answers

Step-by-step explanation:

step 1. draw a perpendicular bisector for 2 sides of a triangle.

step 2. where they cross is the center of the circle.

step 3. construct a circle starting at one triangle point and the circle will connect all triangle points.

Rewrite each equation, then graph
the line
6x + 3y = 12

Answers

Here is the answer. I’m not so sure if my answer is correct about which side should it be shaded and whether it’s a dotted or solid line, but I hope you will get some sort of idea .

plz help, the picture is my question​

Answers

Answer:

c and d

Step-by-step explanation:

alternate interior angles are angles on different sides, but they at interior (inside)

Answers are 6 and 7, 2 and 3

Write an equivalent expression for 5(3h + 2) - 6.

Answers

Answer:

15h + 4

Step-by-step explanation:

5(3h + 2) - 6

Distribute

5 x 3h = 15h

5 x 2 = 10

rewrite equation

15h + 10 - 6

Subract

10 - 6 = 4

Hope This Helps!! :)

15h + 4 that’s the answer to this question.

please answer, no need for explanation:) ​

Answers

Answer:


For question a)

please help
step by step

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

3/8 x 4/9 = top times top and bottom times bottom

12/72 = 1/6

Answer:

1/6

Step-by-step explanation:

3x4=12

8x9=72

12 divided by 6 equals 2

72 divided by 6 equals 12

2 divided by 2 equals 1

12 divided by 2 equals 6

Final simplififed answer is 1/6.

Hope this helps you out.

Mount Whitney Trail starts at an elevation of 8,350 ft above sea level and ends at an elevation of 14,500 ft above sea level. The temperature changes by -5.4 F for every thousand feet gained in elevation. What is the change in temperature from the starting elevation to the ending elevation of Mount Whitney Trail?​

Answers

Answer:

I would think -32.4. - Tell me if I am wrong

Step-by-step explanation:

I hope this helps :)

What are the x- and y-intercepts?

0,3
1,20
3,36
5,28
7,0

Answers

The required x-intercept is (7, 0) and the y-intercept is (0, 3).

What is the intercept in the equation?

In the equation intercept is the value of the linear function where either of the variables is zero.

Here,
To find the x-intercept, we need to find the point at which the graph intersects the x-axis. This occurs when the y-coordinate is zero.

The x-intercept is therefore (7, 0).

To find the y-intercept, we need to find the point at which the graph intersects the y-axis. This occurs when the x-coordinate is zero.

The x-intercept is therefore (0, 3).

Thus, the x-intercept is (7, 0) and the y-intercept is (0, 3).

Learn more about intercept here:
https://brainly.com/question/3605446

#SPJ1

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