A circle has a sector with are of (17/2)pi and a central angle of (17/90)pi radians. What is the area of the circle? Either enter an exact answer in terms of pi or use 3.14 pi and enter your answer as a decimal.

Answers

Answer 1

This circle has a sector area of 17pi/2 and a central angle of 17pi/90.

So, the whole angle of the circle would be 2pi. To find the area of a sector, you can use the formula A=R*Angle

17pi/2= R* 17pi/90
R=45

A=45^2 * pi
A=90 pi or 282.6

Answer 2

Answer:

17pi/2= R* 17pi/90

R=45

A=45^2 * pi

A=90 pi or 282.6

Step-by-step explanation:

Related Questions

This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?

Answers

The formula for the volume of a cylinder is:
area of cross-section x the height.

First lets work out the area of the cross-section. Since the cross-section is a circle, we use the formula π x r²

Halve the the diameter to get the radius, so we can use the formula:
30 / 2 =15

Area of cross-section
π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section, we multiply this by the height to get the volume.

706.8583471 x 36 = 25446.90049
= 25446.90 (2dp)

So the volume of the cylindrical fish tank is 25446.90

The volume of the cylindrical fish tank is 25446.90 inches cube.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The formula for the volume of a cylinder is:

The area of cross-section x the height.

Since the cross-section is a circle, we use the formula π x r²

Radius= 30 / 2 =15

Thus, Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section,

706.8583471 x 36 = 25446.90049

= 25446.90 (2dp)

So. the volume is 25446.90

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What is .58 as a fraction in simplest form

Answers

This fraction is 58/100 currently in its decimal.
It is not currently in simplest form, and to do so divide each part by 2.
Then you have 29/50, which is the fraction in simplest form.
Hope this helps!

Describe a real-world situation that the graph could represent

Answers

You could say one person is at 1:5 and say they moved up and up

For the data set summarized in the boxplot, identify the interquartile range (IQR).
A) 22.0
B) 37.5
C) 57.0
D) 59.0

Answers

The interquartile range of the data set summarized in the boxplot is 22.

What is the interquartile range?

The interquartile range is the difference between the third quartile and the first quartile. On a boxplot, the third quartile is the third line on the box and the first quartile is the first number on the box.

Interquartile range = 70 - 48 = 22

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Now reverse your process to describe the pattern represented by the rule y = −2x + 13. Be as detailed as you can. HEEELLLLLLLLLPPPPP PLEAAASEEE

Answers

the y intercept is 0,13

I need help on question #84 !

Answers

Area of whole thing is 900
900=l*w
Since it is a square they are the same length so the answer to this part is 30
30-6 gives you the remainder which is 24
You have a sidewalk on both sides so you divide by 2
24/2=12
12 should be the width

give all of the possible numbers that could be hals mystery one-digit number

Answers

Mystery one-digit number
Well... all of the possible numbers must have only one digit
1, 2, 3, 4, 5, 6, 7, 8, 9, 0 are all possible numbers.

Hope this helps

15% of 20 is _____. a3,b30,c 300

Answers

The Answer is 3 A :3 :) ..

Hey there!

1% of 20 = 20/100.

20/100 = 0.2

Multiply 15 and 0.2. . .

15 x 0.2 = 3 <--------------

The correct answer to your question is option "A."
15% of 20 is 3.

Hope this helps you.
Have a great day!

Can someone help me with A), B), and C)

Answers

A) The transformation is
.. y = 3f(x) -10
.. y = 3x -10 . . . . . . f(x) = x, here and in the rest of the problem.

B) The transformation is
.. y = (1/2)f(x) +4
.. y = (1/2)x +4

C) The transformation is
.. y = f(x) -1
.. y = x -1

I'll give brainliest if you show your work.
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.

How Students Spend Money in the Cafeteria
Which is the equation of his trend line?
y= 2.75x
y= 3.05x- 0.6
y= 3.25x- 1
y= 9.75x- 14

Answers

Answer:

[tex]y=3.25x-1[/tex]

Step-by-step explanation:

step 1

Find the slope

we have the points

(2,5.5) and (5,15.25)

The formula to calculate the slope between two points is equal to

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

substitute

[tex]m=\frac{15.25-5.5}{5-2}[/tex]

[tex]m=\frac{9.75}{3}=3.25[/tex]

step 2

Find the equation of the line in slope intercept form

y=mx+b

we have

[tex]m=3.25\\point\ (2,5.5)[/tex]

substitute

[tex]5.5=3.25(2)+b[/tex]

solve for b

[tex]b=-6.5+5.5=-1[/tex]

therefore

[tex]y=3.25x-1[/tex]

Answer: c

Step-by-step explanation:

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest 10th of a gram

Answers

Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Answer:

Just 22.1

Step-by-step explanation:

if you dont want to see step by step like the one above just put in 22.1

what is equivalent to 3 to the negative 2nd power

Answers

3 to the negative second power is written like this: [tex] 3^{-2} [/tex].

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base.
After doing that, we have 9.
The next step is to put one over that number.
In this case, now after doing that the answer is [tex] \frac{1}{9} [/tex].

Hope this helps!

Kenya has 2 hours to work a 100 problem math test.At what rate must she work in order to finish in 2 hours

Answers

100/2 is fifty problems an hour. If you would like a different unit, then Kenya needs to finish 25 questions every 15 minutes.

Answer:

Kenya should solve the problems at the rate 0.83 questions per minute.

Step-by-step explanation:

Total number of hours Kenya has to work on 100 questions is 2 hours .

2 hours = 2x60=120 minutes.

Kenya has to work on 100 problems in 120 minutes .

In 1 minute Kenya can solve 100 ÷ 120= 0.83 questions per minute.

Kenya should solve the problems at the rate 0.83 questions per minute.

write the rule for this pattern 5, 20, 80, 320

Answers

The rule is multiplying by 4

5 x 4 = 20
20 x 4 = 80
80 x 4 = 320

A student reports three trials to measure the density of an unknown metal. The percent error in these trials is given in the table. Trial Count Percent Error Trial 1 0.05 Trial 2 0.02 Trial 3 0.01 Indicate the most accurate valu

Answers

I think that the most accurate one is trial 3 since it is the least incorrect and closest percent-wise to the actual correct density of the metal.
Hope this helps!

besides the 90 degree angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13

Answers

Use sine cosine and tangent to find the answer. Sine=opposite/hypotenuse
Cosine= adjacent/hypotenuse tangent= opposite/adjacent. This should help you find your answers.

Answer:

b.) 23° and 67°

Step-by-step explanation:

Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.

a.) 18° and 39°

b.) 23° and 67°

c.) 43° and 47°

d.) 65° and 25°

What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet

Answers

Well we know the area of a square is l*w, or s^2. So we can use s^2 where s=6 in your case. Now 6^2 is 6*6, which is 36.

So the area of a square rug that measures 6 feet is 36 feet

Answer= 36 feet

36ft is the area of a square rug that measures 6ft on a side.

using the image below find the y value for the point that divides the line segment cd into ratio 4:1

Answers

i cant help you if there is no picture

Answer:

A) 2

Step-by-step explanation:

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the bestestimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

3 ft/s * (3600 s/h) * (1 mi)/(5280 ft) = 45/22 mi/h ≈ 2.045 mi/h

Morris's speed is about 50 mi/h -2.045 mi/h = 47.955 mi/h ≈ 48 mi/h

The 4th selection is appropriate.

Answer:

Step-by-step explanation:

!!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

i think the answer should be

2/9 yd2

hope i helped :)

The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

How to calculate the area of the rectangle?

In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width

Here,
From the question,
we have length = 23 yard and width = 13 yards

Area of the rectangle = 23 × 13
= 299 square yards

Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

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how to find answers for 4th grade Mixed number addition homework link 5 - 4?

Answers

Can us show us the problems.

Solve the system of linear equations by elimination.

x+y=3
x−y=1
I need the solution so ordered pair (x,y)

Answers

x+y=3
+ x-y=1
2x=4
x=2

x+y=3
2+y=3
-2. -2
y=1

(2,1)

the first x is 2 and the second x is 2,1

What do ranges compare

Answers

Answer: A range compares the highest and lowest value in a data set.

Range compares the spread of the data.

solve for q.
k=4pq^2

Answers

k=4pq^2
k/4p=q^2
q=(k/4p)^2

Solve for q:
k = 4 p q^2

k = 4 p q^2 is equivalent to 4 p q^2 = k:
4 p q^2 = k

Divide both sides by 4 p:
q^2 = k/(4 p)

Take the square root of both sides:
Answer: q = sqrt(k/p)/2 or q = -sqrt(k/p)/2

in a art class,40% of the students used watercolors for painting.Ten students in art class used watercolors.How many students were there in the class

Answers

There are 25 students Work

which number dose 5 represent a value 10 times the value represented by 5 in 35,187

Answers

The thousands is the answer and you spelled does wrong

In 35,187, the digit 5 represents 50,000. Ten times this value is 500,000. Therefore, in the new number, the digit 5 represents 500,000.

To find the value represented by the digit 5 in the number 35,187, we need to consider its place value. In the given number, 5 is in the ten-thousands place, which means it represents 5 * 10,000 or 50,000.

Now, we're asked to find a number where 5 represents a value ten times that of its representation in 35,187. So, we need to multiply 50,000 (the value represented by 5 in 35,187) by 10.

50,000× 10 = 500,000.

Therefore, in the new number, the digit 5 represents 500,000.

To summarize, the number where 5 represents a value ten times its representation in 35,187 is 500,000.

complete question=

Which number represents a value 10 times the value represented by 5 in 35,187?

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

Answers

The possible length of side XZ could be 50 mm

Which could be the length of side XZ?

From the question, we have the following parameters that can be used in our computation:

The length of side XY = 29 mmThe length of side YZ = 43 mm

Using the triangle inequality theorem, we have

Smallest length of XZ = 43 - 29

Smallest length of XZ = 14

Largest length of XZ = 43 + 29

Largest length of XZ = 72

So, we have

Range: 14 < x < 17

This means that the length of side XZ could be 50 mm because 50 is in the range 14 < x < 17

Question

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

10 mm

89 mm

50 mm

3 mm

X+23=-23 solve for x pls help !!!!

Answers

x + 23 = -23
x = -23 - 23
x = -46

the answer =-46 because if you graph it it will go from 23down to - 23

Instructions: Select the correct answer.

If the radius of a flying disc is 7.6 centimeters, what is the approximate area of the disc?

A. 23.864 square centimeters

B. 90.6832 square centimeters

C. 181.3664 square centimeters

D. 238.64 square centimeters

Answers

The formula for the area of a circle (in this case, the disc) is
[tex]\pi {r}^{2} [/tex]
So, we apply the given radius to the formula to give us our answer:
[tex]\pi \times {7.6}^{2} = 181.4583917[/tex]
So, your approximate answer is C.

Answer:

the answer would be C

Step-by-step explanation:

In recent years, 23.8% of all registered doctors were female. If there were 57,800 female registered doctors that year, what was the total number of registered doctors?

Answers

57,800 is 23.8% of the total number of registered doctors.

To find out the number of registered doctors, we divide the number of female doctors by 23.8% as a decimal (which is just 0.238):

57,800 ÷ 0.238 = 242,857
-------------------------------------------------------------------------------------------------------------
Answer:

So there are 242,857 registered doctors.

Final answer:

To determine the total number of registered doctors, one can use the percentage of female doctors and the number of female doctors to calculate the overall total. By dividing 57,800 by 0.238, you find there were approximately 242,857 registered doctors.

Explanation:

The question asks for the total number of registered doctors, given that 23.8% are female and there are 57,800 female registered doctors. To find this, we use the formula:

Percentage (%) = (Part/Total) × 100

First, we express the percentage as a decimal by dividing it by 100, so 23.8% becomes 0.238. Next, we will rearrange the formula to solve for the Total:

Total = Part / Decimal Percentage

So we have:

Total = 57,800 / 0.238

Doing the calculation:

Total = 242,857 (approx.)

Therefore, the total number of registered doctors is approximately 242,857.

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