A circle has an arc whose measure is 80° and whose length is 88. What is the diameter of the circle?

Answers

Answer 1

Answer:

length of arc=80/360×2πr

88×360=80×2×22/7×r

31680×7/(80×2×22)=r

r=221760/3520=63

diameter=2r=2×63=126


Related Questions

10
Convert from Standard Form to Slope-Intercept Form *
(10 Points)
-4y + 2x = -20
Enter your math answer
Submit

Answers

Your answer is y = 1/2x + 5

I need the answer for -6p > 6

Answers

Answer:

p could be -2 or higher

Step-by-step explanation:

Answer:

p<−1

Step-by-step explanation:

-6 both sides

find the values of z and y plssss

Answers

Answer:

z is 23 and i dont see a y

Step-by-step explanation:

Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6

Answers

X=8
X=3
Sorry if it’s wrong

What are the solutions to 3n-1> 8 or 4n+3 < -1 ?

how would you write it in interval notation?

HELP ASAPPP PLZZZ​

Answers

Step-by-step explanation:

3n - 1 > 8 or 4n + 3 < -1

3n > 9 or 4n < -4

n > 3 or n < -1

Solution set: (-∞, -1) U (3, ∞).

On a certain hot​ summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $537.50.How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

190 children and 150 adults

Step-by-step explanation:

1. 1.25x + 2y = 537.5

2. x + y = 340

Here, x represents the children and y represents the adults.

Again, the first equation represent the cost of tickets, while the second represents the number of people.

From the above equation, we can solve for x and y

From equation 2,

x + y = 340

x = 340 - y

Substitute for x in equation 1

1.25x + 2y = 537.5

Then,

1.25(340 - y) + 2y = 537.5

Expand the bracket

425 - 1.25y + 2y = 537.5

Collect like terms

-1.25y + 2y = 537.5 - 425

0.75y = 112.5

y = 150.

To get the value of x, substitute for y in equation 2

x + y = 340

x + 150 = 340

x = 340 - 150

x = 190

Therefore,

There were 190 children and 150 adults at the pool that day

4-4.
Can someone please tell me whether its B or C?
I'm leaning towards B but a friend said C.​

Answers

Answer:

B

Step-by-step explanation:

Your first instinct is correct. Plus, it says GAIN ==> +. Not LOSS ==> -.

Answer:

Step-by-step explanation:

Choice B is correct. It’s given that the helicopter’s initial height is 40 feet above the ground and that when the helicopter’s altitude begins to increase, it increases at a rate of 21 feet per second. Therefore, the altitude gain t seconds after the helicopter begins rising is represented by the expression 21 t. Adding this expression to the helicopter’s initial height gives the helicopter’s altitude above the ground y, in feet, t seconds after the helicopter begins to gain altitude:  y equals, 40 plus 21 t.

Two cars travel at the same speed to different destinations. Car A reaches its destination in 20 minutes. Car Breaches its destination in 38
minutes. Car B travels 8 miles farther than Car A. How fast do the cars travel?

Answers

Answer:

29mph

Step-by-step explanation:

Represent each of the following as an algebraic inequality.
1. m is at most 15.
2. The sum of 8n and 3n is at least 20.
3. The product of y and z is less than or equal to 10.
4. 9 less than a number x is under 18.
5. The difference between b and 6 is no greater than 12.

Answers

1. X< 15
2. 8n+3n > 20
3. yz <= 10
4. X-9 < 18
5. B-6 < 12

hurry please what is 1+1

Answers

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answers

Answer: h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

                                           [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

[tex]\frac{sin46}{h} =\frac{sin44}{14}[/tex]

[tex]h=\frac{14sin46}{sin44}[/tex]

[tex]h=\frac{10.07}{0.69}[/tex]

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.

"Five times a number minus seven is equal to the opposite of eleven."

Answers

Answer:

- 4/5

Step-by-step explanation:

5X-7 = -11

   +7 = -11+7

5X = -4

Divide 5 on both sides

= - 4/5

Use the proportion. What is 72% of 150

Answers

Answer:

108

Step-by-step explanation:

150x0.72=108

Step-by-step explanation:

72% of 150

=> (72/100)×150

=> 10800/100 [ Because, 72×150=10800 ]

=> 108

Thus, 72% of 150 is 108.

Hope this helps you.


is the simplified form of x+1/x^2+x-6 / x^2+5x+4/x+4

Answers

Answer:

1/(x - 2) (x + 4)

Step-by-step explanation:

3. International basketball competitions are played on a rectangular court where the length is 2x-2 and the width is x. If the perimeter of the court is 86 m. what are the dimensions of the court?

Answers

Answer:

28 m and 15 m

Step-by-step explanation:

Perimeter formula is:

P = 2(l + w)

Given:

l = 2x - 2 and w = xP = 86 m

Substitute and solve for x:

2(2x - 2 + x) = 863x - 2 = 43 3x = 45x = 15

Then find the values of l and w:

l = 2*15 - 2 = 28 mw = 15 m

Answer:

length is 28m and width is 15m

Step-by-step explanation:

Let length = l

and width = b

According to the given condition,

l = 2b -2

Now,

Perimeter of a rectangle, P = 2(l+b)

According to question

P = 86

2(l+b) = 86

l + b = 43

2b -2 + b = 43

3b = 45

b =15

Therefore, l = 2x15 -2 = 28

So length is 28m and width is 15m

Can somebody please tell me the answer to this

Answers

i think the answer is d it’s really the only one that makes sense
The answer would be D. 3 2/5

Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B crosses the starting line and runs at an average rate of 6.4 miles per hour. If the length of the marathon is 26.2 miles, which runner will finish ahead of the other? Explain.



A.
Runner B; Runner B will pass Runner A and finish more than half an hour ahead of Runner A.


B.
Runner B; Runner B will catch up to Runner A 4 hours after Runner A crosses the starting line.


C.
Runner A; Runner B will not be able to catch Runner A in the time it takes Runner A to complete the 26.2 mile course.


D.
Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

It's on Gradpoint

Answers

Answer:

D. Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.

Step-by-step explanation:

Runner A:

Time it takes for him to finish:

t = 26.2/5.6 = 4.679 hours (to complete race)

.

Runner B:

Time it takes for him to finish:

t = 26.2/6.4 = 4.094 hours

BUT wait, we have to account for the extra .5 hours -- the time it took for him to cross the start line.

t = 4.094 + .5 = 4.594 hours

Neeeeed helpppppp please

Answers

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = [tex]\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}[/tex]

                    = [tex]\frac{\text{Length of CD}}{\text{Length of GH}}[/tex]

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

                       = [tex]\sqrt{(-7-0)^2+(0+7)^2}[/tex]

                       = [tex]\sqrt{98}[/tex]

                       = [tex]7\sqrt{2}[/tex]

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = [tex]\sqrt{(-1-0)^2+(0+1)^2}[/tex]

                       = [tex]\sqrt{2}[/tex]

Scale factor = [tex]\frac{7\sqrt{2} }{\sqrt{2} }[/tex]

                    = 7

You need to exchange some of your U.S. Dollars for Australian dollars. For every U.S. Dollar, suppose you get $1.468 in Australian dollarys. If you already have $32.45 in Australian dollars, how much in U.S. Dollars do you need to exchange to have $766.45 in Australian dollars?

Answers

Answer: $500

Step-by-step explanation:

You already have $32.45 in Australian dollars. You however want to have a total of $766.45. You therefore need an extra:

= 766.45 - 32.45

= A$734

1 USD gives A$1.468

The USD you will need is:

= 734/1.468

= $500

how many solutions would there be for the following systems of equations
y=3x-5
6x-2y=10​

Answers

Answer:

So the solution would be (1,-2). Remember you can always validate that the solution is correct by plugging it into both equations. But this is the same as the first equation, y=3x-5. Since they are the SAME line they will have infinite solutions.

Step-by-step explanation:

Johnny pays $5 a month to use an online ordering service for his company. He has to pay an additional $2 for each order placed. Graph the
equation y=2x+5 to model this equation

Answers

Answer:

May you send the picture of the provided graph number?

Step-by-step explanation:

Unable to answer without photo.

The equation [tex]y = 2x + 5[/tex] can be used to model the cost, y, that Johnny pays to use the online ordering service for his company, depending on the number of orders placed, x.

The constant term in the equation, 5, represents the fixed monthly fee Johnny has to pay regardless of the number of orders he places. The coefficient of x, 2, represents the additional cost per order. To graph this equation, we can plot points on a coordinate plane using different values of x and solve for y. Let's consider a few options: When x = 0 (no orders placed), [tex]y = 2(0) + 5 = 5[/tex] . So the point (0, 5) is on the graph. When x = 1 (one order placed), [tex]y = 2(1) + 5 = 7[/tex] . Therefore, the point (1, 7) is on the graph.

Suppose x = 3 (three orders placed), [tex]y = 2(3) + 5 = 11.[/tex]  Hence, the point (3, 11) lies on the graph. Once we have a few points, we can connect them with a straight line. The graph will show that as the number of orders placed increases, the cost Johnny pays to use the online ordering service will also increase at a constant rate of $2 per order.

The line will have a positive slope and intercept the y-axis at (0, 5). In summary, the graph of the equation [tex]y = 2x + 5[/tex]  represents the cost Johnny pays to use the online ordering service, with a fixed monthly fee of $5 and an additional charge of $2 per order placed.

To know more about coordinate plane visit:

https://brainly.com/question/13611766

#SPJ2

A store manager at a local clothing store recorded the number of customers that visited the store each day for two weeks. 20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61 Make a stem and leaf plot that correctly show this data.

Answers

Answer:

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

Step-by-step explanation:

Given that data:

20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.

Suppose a city with population 620,000 has been growing of a rate of 3% per year. If this rate continues, find the population of this city in 14 years

Answers

Answer:

937,806

Step-by-step explanation:

We solve this question in using the population growth rate formula

P(t) = Po(1 + r)^t

P(t) = Population after t years. = ??

Po = Initial Population = 620,000

r = Growth rate = 3% = 0.03

t = Time in years = 14

P(t) = 620000 (1 + 0.03)¹⁴

P(t) = 620000(1.03)¹⁴

P(t) = 937805.62941

Approximately P(t) = 937,806

The population of the city in 14 years is 937,806

-3/4 x (-12)= I need help please this is hard

Answers

Answer:

9

Step-by-step explanation:

Hope this helps and have a great day : )

Answer:

hiiioiofffffrrrrrtttttttt

Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and
5 cm.
O A. Knowing that 22 + 32 + 42, draw the 2 cm side and the 3 cm side
with a right angle between them. The 4 cm side will fit to form a
right triangle.
B. Knowing that 22 + 42 < 52, draw the 2 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
C. Knowing that 32 +42 = 52, draw the 3 cm side and the 4 cm side
with a right angle between them. The 5 cm side will fit to form a
right triangle.
D. Knowing that 32 + 42 = 52, draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.

Answers

Answer:

Its C i just took the test and got this right!!!

Step-by-step explanation:

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation. Then the correct option is C.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The converse of the Pythagorean theorem using side lengths chosen from 2 cm, 3 cm, 4 cm, and 5 cm.

The side 3 cm, 4 cm, and 5 cm will satisfy the Pythagoras equation.

5² = 4² + 3²

25 = 16 + 9

25 = 25

The side 3 cm and 4 cm is normal to each other.

Then the correct option is C.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~

Answers

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

Sandy has 2 1/3 candy bars. She told her brother she will give him 1/2 of one of her candy bars. how much will she have left

Answers

1.1666 candy bars left.
The answer is 1 5/6 my guy

Solve by the substitution method. 8x + 9y=56 -9x + y = 26​

Answers

Answer:

(-2,8)

Step-by-step explanation:

8x + 9y=56

-9x + y = 26​

---------------------------------------------------------------------------------

-9x + y = 26​

    +9x = +9x

y = 9x + 26

---------------------------------------------------------------------------------

8x + 9(9x+26) = 56    <-- substitute for y from above

8x + 81x + 234 = 56

      89x + 234 = 56

               - 234 = - 234

                  89x = - 178

                      x = -2        <--- we got the x value!!

--------------------------------------------------------------------------------

-9x + y = 26​

-9 (-2) + y = 26    <-- substitute for x from above

18 + y = 26

   - 18 = - 18

      y = 8    <-- we got the y value!!

Help me please I need it really bad.

Answers

Answer:

6500

Step-by-step explanation:

How to find volume: height x length x width

The larger box: 15 x 20 x 25= 7500

Smaller box: 10 x 10 x 10= 1000

Place the smaller box inside the larger box, which means the smaller box takes up space so you would subtract their volumes and get- 7500-1000=6500


Simplify the expression by combining like terms: 5w - W - 16

Answers

Answer:

4w-16

Step-by-step explanation:

the only like terms in this equation are the w, so subtract them and you get 4w-16.

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