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

HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?

Answers

Answer:

It's Rotated I believe

Step-by-step explanation:

The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs

Answers

Answer:

it states:  a squared + b squared = c squared ( the hypotenuse)

Step-by-step explanation:

A. -1
B. 1
C. Undefined
D. 0

Answers

Answer: 0

Step-by-step explanation:

Using the Trigonometric values table or unit circle, calculate the expression.

Answer:

The answer is D.) 0

Step-by-step explanation:

JUST THE QUEST

graph {x | x > 4} {x | x < -2} on a number line

Answers

Answer:

Step-by-step explanation:

well,

you mark an arrow to the left side of # line with open circle on -2

then,

you mark an arrow to the right side of # line with open circle on 4

The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this is my last resort

Answers

Answer:

The points that verify the system of inequalities are:

point E, pointF, and point G.

Step-by-step explanation:

Please see the attached image that illustrates the boundary lines in your system of inequalities.

The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.

By solving for y in each inequality, we understand which half-plane should be considered for the inequality:

First inequality (green boundary line) :

[tex]2x+y<10\\y=10-2x[/tex]

This means that we are to consider the points below the green boundary line.

Second inequality (red boundary line) :

[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]

This means we have to consider the points below the red boundary line.

Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.

From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.

On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.

i need help please thanks

Answers

Answer:

66 units

Step-by-step explanation:

just addition

Answer:

66 units

Step-by-step explanation:

The perimeter of a two dimensional object is all of its sides added together:

6+14+10+17+4+3+8+4=

20+10+17+4+3+8+4=

30+17+4+3+8+4=

47+4+3+8+4=

51+3+8+4=

54+8+4=

62+4=

66 units

Interpret the average rate of change of -14/3 that
you found previously. What does this mean in
terms of the waterslide, from x = 0 to x = 15?

Answers

Answer:

On average, the slide drops 14 feet for every 3 feet of horizontal distance.

On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

What is the average rate of change?

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

It is given in the question that Interprets the average rate of change of -14/3 that you found previously.

On average, the slide drops 14 feet for every 3 feet of horizontal distance. On average, the slide drops about 4.7 feet for every 1 foot of horizontal distance.

To know more about the average rate of change follow

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HELPPP
Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lane must purchase at
least seven items. Which is a combination of movies and newly released video games that
Lane could purchase using his gift card?

A 01 movie and 6 video games

B2 movies and 4 video games

C6 movies and 5 video games

D8 movies and 1 video game

Answers

Answer:

D) 8 movies and 1 video game

Step-by-step explanation:

We are given that Lane has a gift card worth $300 for a local entertainment store.

Cost of 1 movie = $20

Cost of 1 video game = $50

In order to use the gift card, Lane must purchase at  least seven items

A) 01 movie and 6 video games

Cost of 1 movie = $20

Cost of 6 video game = [tex]50 \times 6 = 300[/tex]

Total cost = 300+20 = 320

Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card

B) 2 movies and 4 video games

We are given that she must purchase at  least seven items

So, She could not buy 2 movies and 4 video games

C)6 movies and 5 video games

Cost of 6 movie = [tex]20 \times 6 =120[/tex]

Cost of 5 video game = [tex]50 \times 5= 250[/tex]

Total cost = 250+120=370

Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card

D) 8 movies and 1 video game

Cost of 8 movie = [tex]20 \times 8 =160[/tex]

Cost of 1 video game = 50

Total cost = 160+50=210

So, she could purchase 8 movies and 1 video game

A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?

Answers

Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

Find an equation of the line containing the given pair of points.
(4,1) and (12,7)

Answers

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

Find the slope of the line through the points (13, 14) and (0, −1)

Answers

Answer:

[tex] \frac{15}{13} [/tex]

Step-by-step explanation:

gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of line

[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]

What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

Answer:

A

Step-by-step explanation:

a parallelogram that is not a rectangle

Hope this helps

Answer:

A

Step-by-step explanation:

I did it on the quiz

the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)

Answers

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

Need help with #12 pls explain

Answers

The center of the circle is just the ordered pair...so it would be (2,-3). To find the radius you start at the center and count to the right until you reach the edge of the circle. (You could also count to the left). So your radius would be 2. I’m not sure on the equation

what is -5+11y-3=25? will mark brainliest!!

Answers

Step-by-step explanation:

-5 +11y -3 = 25

11y = 25 + 5 + 3

11y = 33

y = 33/11

y = 3

-5-3+11y=25
-8+11y=25
11y=25+8
11y=33
y=33/11
y=3

Helllp fast please someone

Answers

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

A taxi driver charges a flat rate of $3.50 plus an additional $1.65 per mile. If Mohammad wants to spend, at most, $60, how far can he travel in the taxi cab? Round your answer to the nearest mile.

Answers

Answer:

11.6 should be your answer!

Step-by-step explanation:

Im so sorry if its wrong!

Hope this helps!!

( > .< )

Answer:

34 miles

Step-by-step explanation:

3.50 + 1.65m <60

1.65m< 60-3.50

1.65m<56.5

1.65m/1.65< 56.5/1.65

m<34.24242424

m<34

Find the measurement of y

A-129°
B-130°
C-145°
D-134°

Answers

Answer:  C

Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.

find the area of the shape attached

Answers

Answer:

Radius x radius x 3.14 / 2 = area of semicircle

5 x 5 x 3.14 = 78.5

don't divide because there is two semicircle

22-10=12

12 x 10 = 120

120 + 78.5 = 198.5 cm squared

Step-by-step explanation:

Please help! I don’t understand

Answers

the correct answer is B

The answer is definitely B

Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.

Answers

Answer:

5(n<18)=13

Step-by-step explanation:

Five times a number less than eighteen is equal to thirteen

5                   (n            <               18                 =             13

How should the decimal point in 6.8 be moved to determine the product of 6.8
and 100?
()) two places to the left
1)) three places to the right
<)) three places to the left
()) two places to the right

Answers

The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.

The correct answer is two places to the right

The following information should be considered:

For each and every 0 you have to move the decimal one place. And since the 100 is positive you move the decimal to the right.

Learn more: https://brainly.com/question/17429689?referrer=searchResults

which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)

Answers

Answer:

[tex]\sqrt{4}[/tex]

Step-by-step explanation:

Because

→ [tex]\sqrt{4}[/tex]  is equal to 2

→ [tex]\sqrt{125}[/tex]  is equal to  [tex]5\sqrt{5}[/tex] or 11.18033989

→ [tex]\sqrt{0.6}[/tex]  is equal to  [tex]\frac{\sqrt{15} }{5}[/tex]  or  0.7745966692

→ [tex]\sqrt{12.35}[/tex]  is equal to 3.514256678

Answer:

√4

Step-by-step explanation:

√4 = 2

The other ones can only be approximated:

√125 = 5√5 ≈ 11.18033

√0.6 ≈ 0.774597

√12.35 ≈ 3.51426

Simplify 1/4(8x+16)+4x.

Answers

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

Answer:

[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]

Apply associate property:

[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]

Simplify the first two components:

[tex]A = 2x + 4 + 4x[/tex]

Rearrange the components:

[tex]A = 2x + 4x + 4[/tex]

Simplify:

[tex]A = 6x + 4[/tex]

Hope this helps!

:)

A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000

Answers

I believe Your answer is A

The fair price for the house is $205.88.

The correct answer is option A.

What is an equation?

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To find the fair price for the house, we can use the equation of the line of best fit provided:

y = 0.074x + 50.48

where y represents the price of the house and x represents the square footage of the house.

We can substitute 2100 for x to find the price of the house.

y = 0.074(2100) + 50.48

y = 155.4 + 50.48

y = 205.88

Therefore,

The fair price for the house is $205.88.

Learn more about equations here:

https://brainly.com/question/17194269

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what is measurement of angle 2 and 11

Answers

Answer:

Angle 2 = 40 degrees              Angle 11 = 60 degrees

Step-by-step explanation:

Start by using angle 1 to find angle 2

angle 1 is 140 + 2 is unknown = 180 degrees

140 + x = 180

-140        -140

x = 40

Angle 2 is 40 degrees

Now add together angles 2 and 9 to find the measure of angle 11

40 + 80 + x = 180

120 + x = 180

-120        -120

x = 60

Angle 11 is 60 degrees

Answer:

Angle #2 = 40 degrees              Angle #11 = 60 degrees

Step-by-step explanation:

.

Find the value of x in the triangle... Then classify the triangle as acute, right or obtuse

34°, acute
134°, obtuse
44°, right
54°, acute

Answers

Answer:

x = 44

right

Step-by-step explanation:

The sum of the angles in a triangle add to 180

90+ 46+x = 180

Combine like terms

136+x = 180

Subtract 136 from each side

136+x-136=180-136

x =44

Since we have a 90 degree angle it is a right triangle

is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°

Answers

Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:

DBA = 180 - 90 - 30

DBA = 60

The measure of the angle ∠DBA will be 60°. Then the correct option is C.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diagram is given below.

BD is the diameter of circle O. If m∠ACB = 30°.

We know that the central angle is double the angle at the periphery that was subtended by the same chords.

∠AOB = 2∠ACB

∠AOB = 2 x 30

∠AOB = 60°

We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.

Thus, the measure of the angle ∠DBA will be 60°.

Then the correct option is C.

More about the circle link is given below.

https://brainly.com/question/11833983

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Easy 50 points. Graph solutions with picture.

Answers

Answer:

(-1,-4)

Step-by-step explanation:

The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.

The system's solution should be (-1,-4).

Answer:

-1,-4

Step-by-step explanation:

The equation of lines shows the two points

and it cross in the coordinates(-1,-4)

so

solution is( -1,-4)

help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96​

Answers

Answer:

the answer is 32

Step-by-step explanation: divide the product by the number that is being mutiplied

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