1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot.

2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.

3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

(1)

The distance walked ( arc length ) is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{210}{360}[/tex]

     = 2π × 45 × [tex]\frac{21}{36}[/tex]

     = 90π × [tex]\frac{7}{12}[/tex]

     ≈ 165 ft ( to the nearest foot )

(2)

The area (A)  covered is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{122}{360}[/tex]

   = π × 18² × [tex]\frac{61}{180}[/tex]

   = 324π × [tex]\frac{61}{180}[/tex]

    ≈ 345 in² ( to the nearest square inch )

(3)

The area (A) is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )

   = π × 75² × [tex]\frac{8}{36}[/tex]

   = 5625π × [tex]\frac{2}{9}[/tex]

   ≈ 3927 ft² ( to the nearest square foot )

Answer 2

Answer:

9514 1404 393

Answer:

top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=

360

θ

⋅2πr

Replace 360° with 2π radians.

\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}

360

θ

=

θ

Replace the angle ratio in degrees with the angle ratio in radians.

\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=

θ

⋅2πr

Simplify by cancelling

\textit{Arc Length}=\theta rArc Length=θr


Related Questions

4x^2-9×-9=0 solve using quadratic equation

Answers

I think it’s x=3,-3/4

Find the degree measure of the angle with the given radian measure. (Round your answer to one decimal place.)

Answers

Answer:

108 degrees

Step-by-step explanation:

Since we are not given the radian measure. Let the radian measure be 3π/5 rad;

Using the conversion;

πrad = 180°

3π/5 rad = x

Cross mulriply;

π * x = 180 * 3π/5

x =  180 * 3/5

x = 36 * 3

x = 108 degrees

Hence the degree measure is 108 degrees

Note that the same conversion can be used to convert other values in radians

Three concert tickets cost $27. At this rate, what is the cost per ticket?

Answers

Hello.

To find this, divide the cost per amount.

In this case, the cost of the tickets is $27, and the amount is 3.

Divide 27 by 3.

27 / 3 = 9

Each ticket costs $9.

Answer:

$9 per ticket

Step-by-step explanation:

all you do is divide 27 by 3 and get 9

Please give me the correct answer ​

Answers

Answer:

i dont think so.

Step-by-step explanation:

i need help with this question please

Answers

Answer: it C

Step-by-step explanation: if it not incorrect sorry for the wrong answer

Acellus help slope intercept

Answers

Greetings.

The answer is y = 2x + 7.

Explanation:

If you are an expert in graph then you are able to find the slope without calculating. (Rise over Run by looking at the graph.)

We can also find the slope by calculating m-value.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]   ---> Rise Over Run

But how are we gonna calculate if we don't have any two given ordered pairs?

The answer is, we can just pick two ordered pairs that are part of the graph, or rather say that the graph passes through.

The graph passes through (-3,1) and (-2,3).

Then we can calculate the slope by using rise/run.

[tex]m=\frac{3-1}{-2-(-3)}\\m=\frac{2}{-2+3}\\m=\frac{2}{1}\\m=2[/tex]

Thus, the slope is m = 2.

However, we are not done yet. We just only found out the slope. We need to find the y-intercept too.

From Linear Function - [tex]y=mx+b[/tex]

Where m = slope and b = y-intercept.

Since b = y-intercept, we don't need to calculate/substitute x = 0. We simply find which number the graph has y-intercept at.

Which is (0,7), the y-intercept.

Then we substitute b = 7 as y-intercept.

Thus the answer is [tex]y=2x+7[/tex]

Find the inverse: f(x) = -3 -4/3 x

Answers

Answer:

3+4/3x

Step-by-step explanation:

PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?

Answers

Answer:

100xy

Step-by-step explanation:

The height of the cylinder is 4x³y² unit.

The correct option is A.

What is a cylinder?

A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.

Given:

A cylinder has a volume of 20x⁶y⁴ units cubed.

The base of the cylinder has an area of 5x³y² units squared.

And the volume of the cylinder V = Base area x height.

So, 20x⁶y⁴ = 5x³y² (height).

The height of the cylinder = 20x⁶y⁴/ 5x³y²

The height of the cylinder = 4x³y²

Therefore,  4x³y² is the height of the cylinder.

To learn more about the cylinder;

https://brainly.com/question/16134180

#SPJ5

The complete question is given in the attached image.

A T-shirt company charges a design fee of $25 and then sells the shirts for $10 each. The total cost y can be represented by the equation y = 10x + 25, where x represents the number of T-shirts. The graph of the equation is shown. Describe what the slope and y-intercept represent.

Answers

Answer:

y-intersept is the design fee

What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?

Answers

S.I= PRT /100

where,

P = price $500

R = rate 10%

T = time =8months

= $500*10*8/100

= $40,000/100

S.I = $400

given: 2c=d-2b, c=a-b, d=a+b prove: a=b

Answers

Answer:

D

Step-by-step explanation:

bölenin 8,bölümün 68 olduğu bir bölme işleminde bölünen sayı en fazla kaç olur​

Answers

Cevap:

68 bölü 8, bundan çıkardığım şey, yanılıyorsam cevabımı sil. Ancak 68 bölü 8 = 8,5

I need help with math homework algebra #4

Answers

Answer:

A. (-5, 0) and (1, -3)

B. Slope (m) = -½

C. y + 3 = -½(x - 1)

D. y = -½x - ⁵/2

E. ½x + y = ⁵/2

Step-by-step explanation:

A. Two points on the line from the graph are: (-5, 0) and (1, -3)

B. The slope can be calculated using two points,(-5, 0) and (1, -3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 0}{1 -(-5)} = \frac{-3}{6} = -\frac{1}{2} [/tex]

Slope (m) = -½

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (1, -3), and m = -½ into the point-slope equation, y - b = m(x - a).

Thus:

y - (-3) = -½(x - 1)

y + 3 = -½(x - 1)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 3 = -½(x - 1)

2(y + 3) = -1(x - 1)

2y + 6 = -x + 1

2y = -x + 1 - 6

2y = -x - 5

y = -x/2 - ⁵/2

y = -½x - ⁵/2

E. Convert the equation in (D) to standard form:

y = -½x - ⁵/2

½x + y = ⁵/2



What is |-8|?
-16
-8
08
16

Answers

Answer:

it's 8

Step-by-step explanation:

lol girl I did this in the first day of school in 6th and I got the same answer , -8 is a negative, your supposed to put it back to a non negative when something is negative change it back to positive it's 8!

There are 125 people on a mountain trail. If 55 people on the trail are children, what percentage of the people on the trail are children?

Answers

Answer:

44%

Step-by-step explanation:

.44 x 125 equals 55 n

Answer:

The percentage of people who were children = 44%

Step-by-step explanation:

Total people = 125Children on the trail = 55

We need to determine the percentage of the people on the trail who are children.

All we need is to divide 55 by the total number of people i.e. 125 and then multiply the result by 100.

so

Children percentage = 55 / 125 × 100

                                   = 0.44 × 100

                                   = 44%

Therefore, the percentage of people who were children = 44%

Find the distance from San Antonio to El Paso.


633 mi


344 mi


558 mi


261 mi

Answers

Answer:

558

Step-by-step explanation: I just took the quiz!

Distance from San Antonio to El Paso in Miles is 558 miles

Find:

Distance from San Antonio to El Paso in Miles

Computation:

We know that

Distance from San Antonio to El Paso is 888 km

So,

1 km = 0.621371 miles

Distance from San Antonio to El Paso = 888 × 0.621371

Distance from San Antonio to El Paso in Miles = 558 miles

Learn more:

https://brainly.com/question/19679508?referrer=searchResults

please answer to the above question​

Answers

Answer:

b

Step-by-step explanation:

I did this assignment and got the highest grade

Pls help 2 and 3!!!!!!!!!

Answers

Answer:

2)

d. -1 1/2

3)

c. 21 1/2

Step-by-step explanation:

14) The value of y varies directly with x, and y = 3.6 when x = 6. Find y when x= 48.
Please and thank you. I needed now. Please help

Answers

Answer: y = 28.8

Step-by-step explanation:

By using ratios

if the values vary with each other, then they will increase the same amount. 6x8 is 48. So 3.6 x 8 is your answer, 28.8

PLZZZ HELP GIVING BRAINLIST Match each expression to its value.

1. 7 - 5
-2
2. -7 + 5
2
3. -7 - 5
12
4. 7 - (-5)
-12

Answers

Answer:

1. 0

2. 5  

3. 0.416666667

4.0

1. 2
2. -2
3. -12
4. 12

The population of a city is estimated to decline according to the model P(t)=197000e^-0.014t, where t is the number of years present. What does the model predict the population will be in 13 years?

Answers

N nxhdhshsjshfjfjrjr

Lucy rides her bicycles 240 feet. A wheel of her bicycle turns 40 times as the bicycle travels this distance. What is the diameter of the wheel?

Answers

5 okiiieeeeere hope this helps

Plz help me I’m stuck plz

Answers

Answer:

ok step bro are you stuck let me help

Your friend says that there are 36 feet in 12 yards. Is your friend correct? Explain your reasoning?

Answers

Answer:

Your friend is correct.

Step-by-step explanation:

3 feet - 1 yard

36 / 12 = 3

Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)

Answers

Answer:

If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.

Step-by-step explanation:

That's how you can prove which side is bigger

Find the value of the power 6 to the -4th

Answers

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Write an expression to represent a number plus 4.

Answers

Answer:

n + 4

Step-by-step explanation:

n represent the number we are adding to 4 obviously

And 4 is 4 obviously

Hope this helps!

t-4 . that's so easy !

4/ PLEASE HELP ME ON THIS. ASAP

Answers

Answer: a,b,d,e are all right beacuse they all relate to the question

Step-by-step explanation:

c how ever is no shown on the graph and is therefor wrong

6. Lars walks his dog 4 times farther than Michelle
walks her dog. Michelle walks her dog 0.23 mile.
How far does Lars walk his dog?

Answers

Answer:

0.92

Step-by-step explanation:

Simplify 8x + 9d + 3x -5d
Please Do Show Your Work Explanation

Answers

Answer:

The answer is =4d+11x

Step-by-step explanation:

8x + 9d + 3x -5d

=9d-5d+8x+3x

=4d+11x

Answer:

putting in arranged and sum the like terms

8x+3x+9d-5d

11x+4d

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