Find the area of a sector, whose perimeter is 40 cm, and the radius is 8 cm.

Answers

Answer 1

Answer:

96 cm²

Step-by-step explanation:

From the question,

s = (2πr∅/360)+2r................. Equation 1

Where s = Perimeter of a sector, r = radius, ∅ = angle subtend by the sector at the center of the circle.

Given: s = 40 cm, r = 8 cm

Constant : π = 3.14.

Substitute into equation 1 and solve for ∅

40 = (2×8×3.14×∅/360)+(2×8)

40 = (50.24∅/360)+16

40-16 = 50.24∅/360

50.24∅/360 = 24

50.24∅ = 24×360

50.24∅ = 8640

∅ = 8640/50.24

∅ = 171.97°

Area of a sector (A') = ∅πr²/360

A' = 171.97×3.14×8²/360

A' = 95.997

A' ≈ 96 cm²


Related Questions

PLEASE ANSWER THIS QUICK I WILL GIVE BRAINLIEST IF RIGHT AND WILL GIVE THANKS!

Answers

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

[tex]Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}[/tex]

Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

Answer:

12.

12% of 100= 12.

There is a rectangular path for running in Kaylee's town. She runs around the path everyday. one side of the path is 5 1/2 kilometers long. Another sode is 3 1/2 kilometers long.​

Answers

Answer:

3.45

Step-by-step explanation:

calculator

Answer:

16.8 km

Step-by-step explanation:

Perimeter is the sum of all sides.

For a rectangle , perimeter = lenght + lenght + base + base

Perimeter = 5.2 + 5.2 + 3.2 + 3.2

Perimeter = 16.8 km

Find 110.9% of 133. Round to the nearest hundredth.

Answers

Answer:

147.50

Step-by-step explanation:

It is easy to set up the equation as a “butterfly”

x/133 = 110.9/100

cross multiply:

133(110.9)=100x

14749.7=100x ————-divide by 100 to get x alone

147.497 which would round to 147.50

Answer:

147.50

Step-by-step explanation:

BIG BRAIN AND MENTAL MATH

A television selling for $940.00 is marked down by 15%. What is the price after the markdown?

Answers

Step-by-step explanation:

100%-> 940.00

100%-15%=85%

85%->940.00 ÷ 100 x 85

=799. 00

PLEASE ANSWER QUICK!

Simplify the expression 7(2g+7)-4

Answers

I think 14g + 45, but im sorry if this is wrong

A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?

Answers

The third angle is 29 degrees.

180 - 58 - 93 = 29

look at pic 10 pts will mark brainilest

Answers

Answer:

120 cm squared

Step-by-step explanation:

To find this is like finding a rectangle, you can take the triangular part of it and move it over to the side to become a rectangle

we can find the rectangle side by doing

21-6=15

then multiply it

15*8=120

An artist makes triangular -shaped sculptures using steel long. There are several rods are 12,13,14,15 or 16 feet long .there are several rods of each length?

Answers

Answer:

You are having a stroke.

Step-by-step explanation:

1. Go to the hospital.

Find the area of the parallelogram shown below.
6
10
11
square units?

Answers

Area of parallelogram = base x height
Area = 6 x 10
= 60 unit ^2

Answer:

66 Sq. un

Step-by-step explanation:

The Intuition for why the area of a parallelogram is A=bh (area = base x height)

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

Have a great day!

An engineer traveled 150 mi by car and then an additional 630 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.

Answers

Answer:

Step-by-step explanation:

150 mile by car            x mph

630 mile by plane      3x mph

Total travel time equal 8 hours

    150 / x     mile / (mile / hour)   = hour

    630 / 3x  mile / (mile / hour)   = hour

    150/x + 630/3x  = 8 hours

    450/3x + 630/3x = 8 hours

    450  + 630  = 8(3x)  = 24x

         1080  =  24x

             45  =  x    the rate of the car is 45 mph

The National Assessment of Educational Progress (NAEP) includes a "long-term trend" study that tracks reading and mathematics skills over time, and obtains demographic information. In the 2012 study, a random sample of 9000 17-year-old students was selected.24 The NAEP sample used a multistage design, but the overall effect is quite similar to an SRS of 17-year-olds who are still in school. In the sample, 51% of students had at least one parent who was a college graduate. Estimate, with 99% confidence, the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college.

Answers

Answer:

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Sample of 9000, 51% of students had at least one parent who was a college graduate.

This means that [tex]n = 9000, \pi = 0.51[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 - 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.4964[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.51 + 2.575\sqrt{\frac{0.51*0.49}{9000}} = 0.5236[/tex]

The 99% confidence interval estimate for the proportion of all 17-year-old students in 2012 who had at least one parent graduate from college is (0.4964, 0.5236).

HELP PLS HURRY! The graph shows the proportional
relationship between the total cost and the
number of pounds of cashews purchased.
What would the total price in dollars be for
11.5 pounds of cashews?

Answers

Answer:

57.5$

Step-by-step explanation:

5$ a pound, 11.5 pounds, multiply them and you get 57.5$

Answer:

45

Step-by-step explanation:

to find the average result of rolling a six sided dice josh rolls a dice 100 times the table shows how many times josh rolled each number what is the mean or average of the dice rolls​

Answers

Answer:

500

Step-by-step explanation:

The number of times that josh rolled each number is given so the mean or average of the dice rolls​ is 3.6.

What is probability?

Probability is a branch of mathematics that deals with the study of random events or outcomes.

It is concerned with determining the likelihood of an event or outcome occurring in a given situation.

The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

The average of dice roll is:

Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)

Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)

Average = 1/100 x 36

Average = 3.6

Thus, the answer is 3.6.

For more details regarding probability, visit:

https://brainly.com/question/30034780

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Your question seems incomplete, the probable complete question is:

What is the exact mean or average number of crabs found per site? 

Answers

Answer:

just add them however many crabs their are just add all of the totals together then divide your answer by two.

2x + y =8 and 4x -2y = 6

Answers

Answer:

x=1.25 and y=-5.5

Step-by-step explanation:

2x+y=-8, 2x=-y-8 or 4x=-2y-16. Plug this value in the second equation, we have - 2y-16-2y=6, y=-5.5. Plugging this in any equation we have, x=1.25

Michelle and Jay both earn money by melting scrap iron. The amount of iron melted by Michelle, y cubic feet, after x hours is given by the equation y = 17/3x . The graph shows the amount of scrap iron melted by Jay after x hours. Who is spending more time scrapping iron? The picture is down below!
Pls don't put a link or I will report you!

Answers

Answer:

Jay

Step-by-step explanation:

by the graph, after 10 hours, Jay melts 95 ft³

by the equation y = 17/3x, after 10 hours, Michelle melts 0.57 ft³

At 1am the temperature was -6°C. At 5am it was -1°C. If the temperature
continues to rise steadily, what will the temperature be at 9am?

Answers

Answer:

4 temp at 9 am

Step-by-step explanation:

At 1am temp=-6

At 5am temp=-1

5-1=4 hours and temp difference is -6+1=-5

so at 9 am temp will be -1+5=4

Evaluate the expression when a = 6 and x = -3.
-a+7x

Answers

Answer:

-27

Step-by-step explanation:

The equation -a+7x, when plugged in shows -6+7*(-3).

This gives us -6-21 which is -27.

By the way can you follow me on Brainly?

Thanks!

Help! find the area of the parallelogram

Answers

28.2

Step-by-step explanation

A=bh=6·4.7≈28.2

a line is parallel to y=4x+1 and intersects the point (-2,4) what is the equation of this parallel line

Answers

Answer: y=4x+12

Step-by-step explanation:

a parallel line has the same slope, so the slope remains 4

use point slope formula to write the equation

[tex]y-y_{1} =m(x-x_{1} )\\y-4=4(x--2)\\y-4=4(x+2)\\y-4=4x+8\\y=4x+12[/tex]

Answer:

y=4x+12

Step-by-step explanation:

When two lines are parallel, their slopes are the same. In y=mx+c form, m is the slope. So the slope of our parallel line is 4:

y=4x+c

To find c, plug in (-2,4) into the equation because we know it's a point on the line:

4=4(-2)+c

4=-8+c

c=12

So our equation is y=4x+12


In a class of 10, there are 5 students who play soccer.
If the teacher chooses 2 students, what is the probability that both of them play soccer?


Answers

Answer:

Step-by-step explanation: 5/10=1/2  - if one student  are chosen, who plays soccer

4/9 if then the second student are chosen, who plays soccer

1/2*4/9=2/9 the probability that both  students play soccer

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?

Answers

J.

x represents the minutes and y shows how many gallons over that time.

The correct table for best represents the situation is shown in Table J.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A standard bathtub holds 60 gallons of water.

And, A full tub drains 12 gallons per minute.

Now, From table J;

Rate of change is,

⇒ (24 - 12) / (2 - 1)

⇒ 12 / 1

⇒ 12 gallons per minutes

Which is given in situation.

Thus, The correct table for best represents the situation is shown in Table J.

Learn more about the equation of line visit:

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Helps me is urgent Match each type of insurance with an example of what it would pay for.
Renter's
insurance
?
Repair on a car involved in
an accident
Auto insurance
2
Replacement of a
computer stolen from an
apartment
Life insurance
2
Funeral expenses
Health insurance
?
A trip to the emergency
room
PREVIOUS

Answers

1-3 2-2 3-4 4-1 there you go

A dress that is size x in France is equaivalent to size​ d(x) in the United​ States, where ​d(x)x32.
​(a). Find a function that will convert U.S. dress size to French dress size.
​(b) Use the inverse function to find the French size of a dress if it is U.S. size .

Answers

Answer:

[tex](a)\ d'(x) = x + 32[/tex] i.e. The inverse function

[tex](b)\ d'(10) = 42[/tex] i.e. The French size of a dress if it is U.S. size 10 is 42.

Step-by-step explanation:

Given

[tex]d(x) = x - 32[/tex]

Solving (a): The inverse function

[tex]d(x) = x - 32[/tex]

Replace d(x) with y

[tex]y = x - 32[/tex]

Swap y and x

[tex]x = y - 32[/tex]

Make y the subject

[tex]y = x + 32[/tex]

Replace y with d'(x)

[tex]d'(x) = x + 32[/tex]

Hence, the inverse function is: [tex]d'(x) = x + 32[/tex]

Solving (b): US size of 10

[tex]d'(x) = x + 32[/tex]

Substitute [tex]x =10[/tex]

[tex]d'(10) = 10 + 32[/tex]

[tex]d'(10) = 42[/tex]

help pleaseeeeeeeeeeeeee

Answers

Answer:

a

Step-by-step explanation:

what does 2 x 8/10 equal?

Answers

Answer:

1.6

Step-by-step explanation:

8/10 x 2

2 divides 10

8/5

8 divided by 5=1.6

please give me branliyest

Will give brainliest for correct answer

Answers

Answer:

A function is a rule that assigns to each input exactly one output.

Step-by-step explanation:

If you have more than one of the same inputs for multiple outputs, it would create a vertical line at somepoint on your line.

Answer:

The correct answer is "a rule that assigns to each input exactly one output".

Step-by-step explanation:

In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from real numbers to real numbers.

HELPPP PLEASE ITS DUE TODAY!!!

Does the set of points represent a function? Explain.

Answers

Answer:

NO

Step-by-step explanation:

Recall: for a relation or a set of points to be a function, every x-value or input must have exactly one y-value or output.

From the given set of points, the x-value (inputs), -2, has two y-values (inputs), 1 and 3.

Therefore, the set of points does not represent a function.

help please, i need it asap. tyty

Answers

Answer:

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{2}{5}[/tex]

2x = 15

x = 7.5

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