Use the fact that the length of an arc intercepted by an angle is proportional to the radius to find the arc length given the circle area A = 25π cm2 and Θ = straight pi over 4 Your answer: 20straight pi fraction numerator 5 pi over denominator 4 end fraction fraction numerator 4 pi over denominator 5 end fraction fraction numerator 10 pi over denominator 4 end fraction

Answers

Answer 1

Answer:

s = 5/4 pi

Step-by-step explanation:

A = 25π cm2

Theta = pi/4

A = pi r^2 = 25 pi

Divide each side by pi

r^2 = 25

Taking the square root of each side

sqrt(r^2) = sqrt(25)

r = 5

The arc length is

s = r  * theta where theta is in radians

s = 5 * pi/4

s = 5/4 pi


Related Questions

if the string forms a straight line, how high is the kite above the ground?

Answers

Answer:

102.44 feet

Step-by-step explanation:

This kite and its height forms a right triangle. In a right triangle, the sine of an angle is the length of the opposite side divided by the length of the hypotenuse, which in this case is 130 feet. Therefore:

[tex]\sin 52= \dfrac{x}{130}[/tex]

[tex]x=\sin 52 \times 130\approx 102.44[/tex] feet. Hope this helps!

Mrs. Jacobsen asked her students to write a word problem that describes the graph below. Which word problem accurately describes the graph?
a. Jamie has $8, and she pays $2 per day to ride the bus.
b. Melinda has $4 and earns $2 allowance per day doing chores.
c. Carrina has $8, and she earns $2 per day babysitting.
d. Louise has $4, and she pays $2 per day for school lunch.

Answers

Answer:

The answer is a. Jamie has $8, and she pays $2 per day to ride the bus.

Step-by-step explanation:

When looking at the graph, you can see that you start with $8. You lose $2 per day. That is why you are losing money per day.

Answer:

A

Step-by-step explanation:

When you look at the graph you can see the she originally has $8, and then her mone decreases by 2 a day, which is due to bus ride fees.

Find the area of parallelogram BDKJ.

Answers

Answer:

6 x 4 = 24

Step-by-step explanation:

JC = 4

BD = 6

For what values of m, the relation K= {(2.3m + 45, 0), (−67m − 8.9, 0)} is a function?

Answers

Answer:

The relation is a function for all m-values different than -53.9/69.3

Step-by-step explanation:

If the relation is a function, then we can say that

[tex]2.3m+45\neq -67m-8.9[/tex]

Solving for [tex]m[/tex], we have

[tex]2.3m+67m\neq -8.9-45\\69.3m \neq -53.9\\m \neq - \frac{53.9}{69.3}\\[/tex]

Therefore, the relation is a function for all m-values different than -53.9/69.3

The heights of the sunflowers, in inches,
in Brittany's garden are shown below.
65 66 64 63 64
62. 65. 63, 64, 66
Brittany displayed the data in a dot pot
Which of the dot plots correctly displays
Brittany s dala?

Answers

Answer:

See picture attached

Step-by-step explanation:

The options are not provided, so I made my own dot plot. To did it, I ordered the set, and counted how many times each height appears, as follows:

62: once

63: twice

64: three times

65: twice

66: twice

Those are the numbers of dots you have to put over each height.

Evaluate q^2-5q+4, when q equals -2

Answers

Answer:

18

Step-by-step explanation:

q^2 - 5q +4

Let q = -2

(-2)^2 - 5(-2) +4

4  + 10 +4

18

What is the opposite integer of -111111111111111111111111111111111111111111111111111111111111111111

Answers

Answer:

positive 111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

If you were to take Eva’s age X divide it by five and then square the quotient you would have John’s age how old is John

Answers

X    - Eva's age

[tex]\dfrac X5[/tex]    - Eva's age divided by five

[tex]\left(\dfrac X5\right)^\big2[/tex]   - Eva's age divided by five and then squared

[tex]\left(\dfrac X5\right)^\big2=\dfrac{X^2}{25}[/tex]

Answer:

              John is  [tex]\frac{X^2}{25}[/tex]  years old now

This list shows the number of years that 99 U.S. Supreme Court Justices served. 0 4 6 8 13 15 18 22 26 31 1 4 6 9 13 15 19 23 26 32 1 4 6 9 14 16 19 23 27 33 2 5 7 9 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 33 2 5 7 10 14 16 20 23 28 34 3 5 7 10 15 17 20 24 29 34 3 5 8 11 15 17 20 24 30 34 3 5 8 13 15 18 21 26 30 36 4 5 8 13 15 18 21 26 31 What number of years is the mode the Supreme Court justices served? a. 20 c. 23 b. 15 d. 5

Answers

Answer:

5

Step-by-step explanation:

Answer:

The answer is: D.)5

Step-by-step explanation:

I got it right on edge2021

Every summer Kendra plants a vegetable garden in her yard last year she planted six rows of tomatoes eight rows of peppers Kendra wants to keep the same ratio this year but she only plants to plant three roasted tomatoes how many rows of peppers well Kendra plant this year

Answers

Answer: Ratio's 3:5

Step-by-step explanation:

Ratio of last year 6:8 Now this year since she wants to only plant 3 rows of tomatoes there would be five rows of tomatoes cuz ur taking away three rows form each typa veggie so the new ratio is now 3:5

((Hope it Helps))

The point-slope form of a line is y-y1 = m(x-x1), where m is the slope and x1 is a point on the line.
A. True
B. False

Answers

Answer:

False.

Step-by-step explanation:

A point on the cordinate plane needs an x-coordinate and a y-coordinate.

The point is (x1, y1) not just x1.

The statement is true because the point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

The point-slope form of a line is y - y₁ = m(x -x₁), where m is the slope and x1 is a point on the line.

Hence, the statement is true.

Learn more on Point-slope form of a line here: brainly.com/question/11624671

#SPJ2

A sample of 100 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 3. What is the 95%
confidence interval for the mean of the population?
O A. (24.3, 25.3)
O B. (24, 26)
O C. (23.8, 26.2)
O D. (24.4, 25.6)

Answers

Answer:

D

Step-by-step explanation:

I just took the test: 24.4, 25.6

Answer:

its D

Step-by-step explanation:

If h(x) = x-7 and g(x) = x2, which expression is equivalent to (gº h)(5)?

Answers

Answer: [tex]g(5) *h(5) = (5-7)(5^2)= (25)(-2) = -50[/tex] Im assuming that g(x) is x^2, since you were incapable of writing the exponent sign

Step-by-step explanation:

[tex](g*h)(x)=g(x)*h(x)[/tex]

So this means the functions should be multipled and both evaluated at x = 5

The value of the composition of functions ( g o f ) ( 5 ) = 4

What is Composition of functions?

Evaluation of a function at the value of another function is known as Composition of function. A function composition is a process in which two functions, f and g, form a new function, h, in such a way that h(x) = g(f(x)). This signifies that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.

Given data ,

Let the first function be represented as h ( x )

Now , the value of h ( x ) is

h ( x ) = x - 7

Let the second function be represented as g ( x )

Now , the value of g ( x ) is

g ( x ) = x²

Now , the composition of function ( g o f ) ( 5 ) is given by

The value of f ( 5 ) = 5 - 7 = -2

Now , the value of g ( -2 ) is

g ( -2 ) = ( -2 )²

g ( -2 ) = 4

Hence , the composition of function is solved and the value is given by A = ( g o f ) ( 5 ) = 4

To learn more about composition of functions click :

https://brainly.com/question/17673639

#SPJ7

in order to pay for his expenses Chuck needs to earn $3,400 at least every month when Chuck Works overtime he earns $5000 per month if the variable T stands for the amount of money Chuck has left after paying for his expenses every month, which of the following choices is the most reasonable value for e when he works overtime

A. $600
B. $1600
C. 1200
D.$8400

Answers

The answer is B. $1600 because you have to subtract it

Answer:

B.  $1,600

Step-by-step explanation:

$3,400 + T = $5,000

T = $5,000 - $3,400

T = $1,600

please help and explain i will mark brainliesttt!

Answers

Answer:

y=(8/5)x-(24/5)

Step-by-step explanation:

lets find the slope

m=(y2-y1)/(x2-x1)

m=(8-0)/(8-3)

m=8/5

y=(8/5)x+b

lets find b, the y-int by plugging in a point

0=(8/5)*3+b

0=24/5+b

b=-24/5

y=(8/5)x-(24/5)

A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?

Answers

Answer:

124

Because If u divide 248 by 2 you get 124

A measure of the average value of a population is called

Answers

I thinks it’s a census

Answer:

the census

Step-by-step explanation:

this is when info about every member of population is collected

The value of cos X is
40/41
42/41
9/41
35/41

Answers

Answer:

I think we're probably talking about a right triangle. So just find the adjacent side and the hypotenuse.

Step-by-step explanation:

Once we are considering [tex]x \in \mathbb{R}[/tex], the range of  [tex]\text{cos}(x)[/tex] is [tex][1, -1][/tex]. Therefore, [tex]$\frac{42}{41} $[/tex] is not true.

In this exercise, we may have

[tex]$\text{cos}(x)=\frac{x}{r} =\frac{x}{\sqrt{x^2 +y^2} } $[/tex]

Considering the trigonometric functions beyond the unit circle.

Or considering the definition in the right triangle:

[tex]$\text{cos}(x)=\frac{\text{adjacent}}{\text{hypotenuse}} $[/tex]

Guess the riddle!!!!!!
1 rabbit saw 9 elephants while going to the river. Every elephant saw 3 monkeys going to the river. Each monkey had 1 tortoise on each hand.
How many animals are going to the river ?

Answers

Step-by-step explanation:

1 rabbit

9 elephants (not clear going to river or not)

3 monkeys

6 tortoise

total 19 animal in the story

20 including the riddle maker who saw all of this (if we insist the riddle maker (human) are part of animal hahaha)

but the total animal going to river for sure is 10 animals

2(x-3)=16 solve for x

Answers

Answer:

[tex]x=11[/tex]

Step-by-step explanation:

[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]

Answer:

tbh idk ask someone else. i take pre-cal

Step-by-step explanation:

is a CR grade good or bad? ​

Answers

Really good if u don’t have strict parents

Find the slope of the line that passes through the given points.
(9,1) and (9,5)

Answers

The answer is 4/0 or indefinite.

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

The answer is undefined

Hope I helped a little

a car runs 20mph how much does it travel in 1 hour

Answers

the answer is in the question itself... so since it says 20 miles per hour that’s the distance it covers per hour. the answer would be it travels 20 miles in an hour
20mph because it says in the question that it already runs 20 mph

A marker was placed at an altitude that is 15 feet below sea level.
Enter the integer that represents this altitude.

Answers

Answer:

-15 below sea level

-Hope this helps! :)

Answer:

-15 below 0 :)

Step-by-step explanation:no u

What is m∠A? Enter your answer in the box.

Answers

Answer:

∠A is 118 degrees

Step-by-step explanation:

every triangle is 180 degrees

(3x+13) + (x-8) +(x) = 180

simplify

5x + 5 = 180

-5        = -5

5x = 175

175 divided by 5 is 35

so x= 35

∠A= 3(35) + 13

3 times 35 is 105

105 + 13 = 118

so ∠A is 118 degrees

hope this helps!

At the sandwich shop there are 5 different meats and 4 different cheeses from which to choose. How many different sandwiches can be made using one meat and one cheese? A. 2 B. 9 C. 12 D. 20

Answers

Answer:

D. 20 different sandwiches

Step-by-step explanation:

5 meats

4 cheeses

5 x 4 = 20

Answer:

its D

Step-by-step explanation:

i did the test on edgeuenity or however u spell it

the slope of the line below is 2. use the labeled point to find a point-slope equation of the line. (1, 9)

Answers

Answer:

Step-by-step explanation:

y - 9 = 2(x - 1)

y - 9 = 2x - 2

y = 2x + 7

Use the graph to write the factorization of x^2-x-6.

Answers

Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Can someone help me??

Answers

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

360 degrees - 90 degrees = 270 degrees

Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

Answer:

67.5 degrees

Step-by-step explanation:

Hope that helps

Kim’s family spends $62.50 on dinner. They leave an 18% tip. How much is their total bill after tip?

Answers

Answer:

51.25

Step-by-step explanation:

Multiply 62.5 by .18. You get 11.25. Subtract that from 62.5 and you get 51.25.

Answer:

Multiply the price with the tip rate

18% = 0.18

62.5 x 0.18 = 11.25

that is the tip. We add that on to find the total price

62.5 + 11.25 = 73.75

73.75 dollars is the answer. Hope this helps

Step-by-step explanation:

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