The radius of a circle is 15 miles. What is the angle measure of an arc bounding a sector with area 5​ square miles?

QUESTION POSTED AT 22/02/2020 - 03:23 PM

Answered by admin AT 22/02/2020 - 03:23 PM

X / 10pi = 360 /((pi)(r^2))
To isolate x, multiply both sides by 10pi
x = 360 /((pi)(r^2)) (10pi) = 3600/r^2 = 3600 / 20^2 = 9 degrees

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Related questions

At a carnival game, you randomly throw two darts at the board and break two balloons out of 15. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. (3 red, 4 blue, 2 green, 2 yellow, 4 purple)

Add up the total number of balloons (15) there are 4 purples so the probably of you getting purple at all is 4/15. consider that after you hit the first purple, your odds decrease to 3/14. 

ANSWERED AT 28/03/2020 - 01:00 PM


QUESTION POSTED AT 28/03/2020 - 01:00 PM

Write a related addition fact for 15-6=9

6+9=15 you can switch it that is called Communicative Property hope this help you

ANSWERED AT 28/03/2020 - 12:59 PM


QUESTION POSTED AT 28/03/2020 - 12:59 PM

If the measure of angle 4 is 132°, what is the measure of angle 7?

Angles 1, 3, 5, 7, 9 and 11 are corresponding while angles 2, 4, 6, 8, 10 and 12 are corresponding
angles 8 and 7 are supplementary
since 4 and 8 are corresponding, angle 4 is 132° so angle 8 would also be 132°
180-132=48
°
angle 7 would be 48
°

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.

Is there some type of image for this?

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

Who knows how to do area? plz help

The answer is D) 15 square units for the formula of a parallelogram is length times height, the way I solved it was I graphed to get a visual and understand , I see that the height is 3 and the length is 5 so 3•5 is 15
( feel free to ask follow up questions)

ANSWERED AT 28/03/2020 - 12:53 PM


QUESTION POSTED AT 28/03/2020 - 12:53 PM

Ιғ a cιrcle нaѕ a radιυѕ oғ 12 cм and a ѕecтor deғιned вy a 120 degree arc, wнaт ιѕ тнe area oғ тнe ѕecтor

120
times 12 - 360
it should give you the right answer if you solve the problem like that

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Surface area help please❤️

The answer is D because it 172.8 cm 

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Joe has two empty boxes, one box is 15 inches wide, 20 inches long and 10 inches high. The second box has the same length and width but is 4 inches taller. How much additional spaces is in the box

Space in the box = volume
volume = length x width x height
box 1 volume = 15 x 20 x 10 = 3000
box 2 volume = 15 x 20 x 14 = 4200
how much space is left = box 2 - box 1 = 1200 inches

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

You jog 6 and 2 thirds miles around a track each day. If you jogged that distance 4 times last week, how many miles did you jog?

Multiply 2/3 by 4 to get a total jogging distance of 8/3 miles. Convert it to a mixed number, and your answer will be 2 1/3 miles.

ANSWERED AT 28/03/2020 - 12:36 PM


QUESTION POSTED AT 28/03/2020 - 12:36 PM

You jog 623623 miles around a track each day. If you jogged that distance 44 times last week, how many miles did you jog?

The answer is 192075884 

ANSWERED AT 28/03/2020 - 12:35 PM


QUESTION POSTED AT 28/03/2020 - 12:35 PM

What is the area of triangle DEF? Round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units

Since we are given 2 sides and 2 angles, we can use the Side Angle Side (SAS) method. The area of a triangle is given by the formula:
Area = absinC/2; where a and b are adjacent sides and C is the angle between a and b.

Area = 5*8*sin31°/2 = 10.3 square units.

ANSWERED AT 28/03/2020 - 12:34 PM


QUESTION POSTED AT 28/03/2020 - 12:34 PM

Find the unknown angle measures

Obtuse(sorry I can't find the other one)

ANSWERED AT 28/03/2020 - 12:29 PM


QUESTION POSTED AT 28/03/2020 - 12:29 PM

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so the height of the dam is meters.

Answer:

Height of the dam is 45.45 meters.

Step-by-step explanation:

From the attached figure, AB is the height of dam NM is Scarlett's height. We have to find the height of the dam. NM = CB = 1.65 m

Using trigonometric equations as:

tan(26)=\dfrac{AC}{NC}

tan(26)=\dfrac{AC}{90}

AC=tan(26)\times 90

AC = 43.8 m

So, the height of the dam is AC + CB = 43.8 m + 1.65 m = 45.45 m

Hence, the height of the dam is 45.45 meter.

ANSWERED AT 28/03/2020 - 12:28 PM


QUESTION POSTED AT 28/03/2020 - 12:28 PM

What is the shaded area

I cant answer it, because i dont see anything

ANSWERED AT 28/03/2020 - 12:26 PM


QUESTION POSTED AT 28/03/2020 - 12:26 PM

These data show the age in years of 9 members of the youth orchestra. 12 14 16 17.5 10 18 15 15.5 19 What is the IQR (interquartile range) for these data?

First quartile is 13
Third quartile is 17.75
Take 17.75 - 13 = 4.75
The IQR is 4.75

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

James made 15 out of 25 free throws. Later, he made 21 out of 25 free throws. What is the percent increase?

21-15=6
6/15=0.4
0.4=40%
So the percent increase is 40%
Hope this helps!!  ^.^

ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

SOMEONE PLEASE SHOW YOUR WORK What is the surface area of the figure? A. 270 cm2 B. 320 cm2 C. 135 cm2 D. 160 cm2



ok, so we now just have 4 normal sides and 2 L shapes

L shape can be cut into 2 rectangles 
5 by 5 and 5 by 10 so total of 75 is the L
2 L's so 
2*75=150

the sides
4 of them
they all are 10 by 3
10*3*4=120



answer is A


ANSWERED AT 28/03/2020 - 12:24 PM


QUESTION POSTED AT 28/03/2020 - 12:24 PM

Can some one help me with 15-23

Number 15 is -4. If g=5. Then you want to know first whats 20 divided by 5. And that is 4. When dividing with integers, if you have one negative, your answer will be negative.

ANSWERED AT 28/03/2020 - 12:23 PM


QUESTION POSTED AT 28/03/2020 - 12:23 PM

Describe each of the following properties of the graph of the cosine function, f(theta) = cos(theta), and relate the property to the unit circle definition of cosine. Amplitude Period Domain Range x-intercepts I know the definitions and descriptions, I just need to know how it relates to the unit circle

Amplitude: the height of the graph from the peak to the axis. On the unit circle it would be the radius (max and min values) at 0, pi/2, 2pi
Period: the length of one full cycle of the cos graph. On the unit circle it is the circumference. The distance around a circle with radius = 1.
Domain: the x value or the values on the horizontal axis. On the unit circle these would be the radian measures around the unit circle such as pi/6, pi/4,
pi/3, pi/2.
Range: the y value or the values on the vertical axis. On the unit circle it would be the cosine value for each radian measure. Such as cos pi/4 = (sqrt2)/2, cos pi/3= 1/2.
X-intercepts: the points where the graph crosses the horizontal axis. On the unit circle these are the cosine values when theta is at the vertical points of the unit circle, pi/2 and 3pi/2.

ANSWERED AT 28/03/2020 - 12:19 PM


QUESTION POSTED AT 28/03/2020 - 12:19 PM

Which point lies on a circle with a radius of 5 units and center at P(6, 1)?

Answer:

One point could be (1,1)

Step-by-step explanation:

1.  The equation of the circle is (x-h)^2 +(y-k)^2=r^2

h and k are the (x,y) coordinates of the center of the circle respectively. In this sense, h=6 and k=1, and r is the radius of the circle which is 5. Replacing we get

(x-6)^2+(y-1)^2=25

2.  The x-coordiante of the center of the circle is at x=6. The radius is 5, therefore, the left end of the circle is at x=1  and the right end is at x=11. This means that the circle can take x-coordiantes from 1 to 11, and for each we will have a Y-coordinate.

3. To get the Y-coordinate we isolate Y from the circle equation.

(x-6)^2+(y-1)^2=25\\(y-1)^2=25-(x-6)^2\\y-1=\sqrt{25-(x-6)^2} \\y=\sqrt{25-(x-6)^2}+1

4.  From the last equation, we can repalce x by any number between 1 and 11, and we will get the respective Y-coordinate, for example:

If we take x=1, replacing we get:

y=\sqrt{25-(1-6)^2 }+1\\y=\sqrt{25-(-5)^2 }+1\\\\y=\sqrt{25-25 }+1\\\\y=\ 0+1\\\\\\y=1

So, one point could be (1,1)

5. If you want to get another point, you could replace X by 2,3,4,5,6,7,8,9,10 and 11 in the previous equation, and for each one you will get a new Y-coordinate.

ANSWERED AT 28/03/2020 - 12:18 PM


QUESTION POSTED AT 28/03/2020 - 12:18 PM

A clerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below. Which of the following represents the number of balls in the first 8 layers of the pyramid? A. a series that is arithmetic B. a series that is geometric C. a series that is neither arithmetic nor geometric D. a series cannot be used to represent this situation.

Answer:

It is a series that is neither arithmetic nor geometric

Step-by-step explanation:

We are given that The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on,

The pattern is

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

n^2 is the pattern where n is the position in the series.

For arithmetic series Common difference: d=a_2-a_1=a_3-a_2

So,  d=4-1\neq 9-4

Thus it is not an arithmetic series .

For Geometric series there must be an common ratio : r = \frac{a_2}{a_1}=\frac{a_3}{a_2}

So, r = \frac{4}{1}\neq\frac{9}{4}

Thus it is not geometric series.

Thus Option C is correct.

It is a series that is neither arithmetic nor geometric

ANSWERED AT 28/03/2020 - 12:18 PM


QUESTION POSTED AT 28/03/2020 - 12:18 PM

What is the diameter of a circle whose area is 532 sq ft?

D=2r is your answer
-TheQuestClub

ANSWERED AT 28/03/2020 - 12:17 PM


QUESTION POSTED AT 28/03/2020 - 12:17 PM

Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (y+5)^2=12(x+2), where x and y are measured in inches. What is the focus of the flashlight?

Answer: The focus of the flashlight= (1,-5)


Step-by-step explanation:

Given: Skylar is designing a flashlight that uses a parabolic reflecting mirror and a light source.

The shape of the mirror can be modeled by

(y+5)^2=12(x+2)

We know that the standard form for the equation of parabola is (y-k)^2=4p(x-h), where focus = (h+p,k)

Rewrite the given equation in the standard form , we get

(y-(-5))^2=4(3)(x-(-2))

Therefore, focus of the flashlight=(-2+3,-5)=(1,-5)

ANSWERED AT 28/03/2020 - 12:12 PM


QUESTION POSTED AT 28/03/2020 - 12:12 PM