Marla is making a tree skirt out of fabric. She is using a pattern based on the circle below. Marla will need to remove a sector of the circular fabric. The sector has a central angle of 60° and the radius of the circle is 3 feet.

Answers

Answer 1

Answer:

The area of sector is 4.71mi^2

Step-by-step explanation:

Answer 2

The area of the sector that Marla needs to remove is (3/2)π square feet.

How to find the surface area of some object?

Find the area that its outer surfaces possess. Sum of all those surfaces' area is the surface area of the considered object. Area is measured in terms of standard areas. Therefore, they are relative to each other.

We normally use a square of unit length as its size. That unit can be 1 cm, 1 meter, etc.

Now when we want to find surface area of some object, then the value we get tells us that you can fit this many unit sided squares on that object's surface.

We are given that;

Central angle = 60°

The radius of the circle = 3 feet.

Now,

To find the area of the sector that Marla needs to remove, we can use the formula:

A = (θ/360)πr^2

where A is the area of the sector, θ is the central angle of the sector, r is the radius of the circle, and π is pi (approximately 3.14).

Plugging in the values we know, we get:

A = (60/360)π(3)^2 A

= (1/6)π(9) A

= (3/2)π

Therefore, the area of the fabric will be (3/2)π square feet.

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Related Questions

Factor x^2−2x. Is this a special product?

Answers

Answer:

x(x-2)

Step-by-step explanation:

x^2−2x

Factor out an x

x(x-2)

This is not a special product

I need help guys I got like 1 hour left.

Answers

Answer:

Domain: x <= 4

Step-by-step explanation:

The domain is all the x's on the graph or all the x's that can be used in the equation. see image for graph. The graph exists coming from negative infinity (the left side of the graph) and then stops at the point where x is 4. So x must be less than 4 or equal to 4.

Algebraically, if x is bigger than 4, you get a negative number inside the radical (the square root symbol) and that is not allowed. Again we find that x has to be less than or equal to 4.

Can someone help me with these I really don’t understand no matter what I try

Answers

Answer:

Step-by-step explanation:

This are 3 triangles

One big one, that is divided into 2

 Of the 2 triangles one is smaller than the other

So

inside the big trangle we have:

Small triange (Small side = 8/ Median side = y /large side =12

Median triangle(small side = y/ Median side = x/ Large side = z

             And then the 2 triangles make a big  triangle:

Large triangle (small side=12/ Median side= z/  Large side = 8+x

An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.

Answers

Now

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]

[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]

The length of the extension ladder that is against the outside wall of the house is 22.58 feet.

What is the length of the ladder?

When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.

To find the length of the ladder, Sin would be used:

Sin = opposite / hypotenuse

Sin 77 = 22 / h

h = 22 / 0.9743 = 22.58 feet

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C is a circle with centre (0,0)
L is a straight line with negative gradient.
The circle C and the line L intersect at the points A and B.
The coordinates of A are (-9,2)
The x coordinate of B is 7
Find an equation of L.

Answers

Answer:

Step-by-step explanation:


PLEASEEEEEE HELP ME OUT

Answers

Answer:

[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

PLEASE HELP WILL GIVE BRAINLIST HURRY PLS

Answers

Answer:

we know the trapezoids are similar, so that means all sides are at a ratio, thus

that means from the model to actual, the scale is 1:12, so the large side is 12 times as large.

so for the large trapezoid

EF = 6 * 12 =... 72

EH = 4 * 12 =.. 48

HG = 3 * 12 = ..36

GF = 3 * 12 =...36

72+48+36+36 = 192.

Step-by-step explanation:

m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °

Answers

Answer:

M < 1=180

M<2=90

M<3=90

Step-by-step explanation:

M 2 and 3 are both right angles and m1 is a obtuse  angle

Find x and y

Y 12 x 6

Answers

Answer:

Step-by-step explanation:

Answer number 14. It’s very difficult for me and i need some help.

Answers

Answer:

1201.2 in (100.1ft)

Step-by-step explanation:

A scale model represents a ratio. All sides must be shrunk or increased based on a constant value. In this case the ratio of the model is 1/13 the size of the original giving us a 1:13 ratio. So each side of your scale model must be multiplied by 13 to find the real value of the side.

First convert all units to inches then divide the width of the real windmill by the width of the scale model (both in inches) you will see the answer is 13. Multiply the inch values of all sides of your model by 13 and this gives you the proportional value of each side of the real windmill in relation to the scale model.

Find the slope of the line containing the points (-2, -3) and (-4, 1).

Answers

Answer:

- 2

Step-by-step explanation:

Slope, m = (y1-y2)/(x1-x2)

              = ( -3 -1)/(-2- -4) =

                       -4 / ( 2) = - 2

(-2,-3)(-4,1)

Sloep:-

m=1-(-3)/-4-(-2)m=1+3/-4+2m=4/-2m=-2

Coach Morton is going on vacation! He drives 7.5 hours at an average speed of 35mph. How many miles did he travel?

Answers

Answer:

4.7m

Step-by-step explanation:

35/7.5

=4.7m

Am sure am correct

Choose the angle which is vertical to angle BFC in the following figure.
answer A angle CFD
answer B angle DFE
answer C angle AFC
answer D angle EFA

Answers

Angle DFE. Hope this helped.

a ball is dropped from a height of one meter. every time it hits the ground, it rebounds to exactly 2/3 of the previous height. what is the total distance the ball has traveled after its hits the ground for the eigth time?

Answers

Answer:69/56 that is your answer did it help


please b quick

The display on a calculator reads 9.378 E - 5. Which value does this represent?

a. 937,800,000
b. 937,800
c. 0.00009378
d. 0.000009378​

Answers

Answer:  C.0.0009378

Step-by-step explanation:

9.378E-5 is basically 9.378 x 10∧-5. Move the decimal to right 5 times.

Let a represent a positive number and let b represent a negative number. Tell whether each statement is True or False. True False a. The difference (a - b) could be negative. True False b. The difference (b − a) cannot be positive. True False C. The sum (a + b) could be positive. True False d. The sum (b + a) must be negative. ​

Answers

a. False; if b is negative, then -b is positive, so

a - b = a + (-b)

is the sum of two positive numbers, which must be positive.

b. True; the sum of two negative numbers is again negative.

c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)

d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)

How many solutions does this system of equations have?
Sy=-4x + 3
2x + 8y = 10

Answers

Answer:

Step-by-step explanation:

Assuming the s is a typo the answer to this system is x=7/15 and y=17/15

Convert to standard form: y=-7x/2-3

Answers

Answer:

7x + 2y = −6

Step-by-step explanation:

answeeeer plssssss..

Answers

ok well- what time do you need it to be answered by?

Alex wants to measure lengths of rope for a knot-tying activity at camp What is the best customary unit of measurement for Alex to use to measure the rope? Why?Help I'm stuck. thank u

Answers

Answer:

The best customary unit of measurement to measure the lengths of the rope for knot-tying would be:
Inches (in.)

Alex can also use feet, yards, and miles, but Inches are the best measurement to use in this situation.





Step-by-step explanation:

Have a great rest of your day
#TheWizzer

I need help on this please its really hard its due in thirty min

Answers

Answer:

L < 5.25yd

Step-by-step explanation:

We can think of Mrs. Klein's composting area as a rectangle, and the formula for finding the area of a rectangle is Base * Height = Area (B*H=A)

Let's just say for the sake of solving the problem that they say that area of the garden had to be exaclty 6 square feet. Because the area must be 6sqft (sqyd = square yards) then we can enter 6 into our formula.

B*H=A now equals B*H=6

They also tell us that the width (which is a stand-in for height) is [tex]1\frac{1}{7}[/tex] so we can enter that in our formula as well

B*H=6 now is [tex]B*1\frac{1}{7} =6[/tex] and now we just have one unknown... the B (base)

And since [tex]B*1\frac{1}{7} =6[/tex] then [tex]6/1\frac{1}{7} =B[/tex]

Thus,

[tex]6yd / 1\frac{1}{7} = 5.25yd[/tex]

And because the question said that the area must be less then 6sqyd, then the length can be anything less then 5.25yd.

Thus,

L < 2.25

Hope that helped... Chow!

SAT math scores for a particular year are normally distributed with a mean of 510 and a standard deviation of 80.

What is the probability that a randomly selected score is greater than 590? Enter the numerical answer only (no percent sign).

Answers

Using the normal distribution, it is found that there is a 16% probability that a randomly selected score is greater than 590.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 510[/tex] and [tex]\sigma = 80[/tex].

The probability that a randomly selected score is greater than 590 is one subtracted by the p-value of Z when X = 590, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{590 - 510}{80}[/tex]

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16.

0.16 = 16% probability that a randomly selected score is greater than 590.

More can be learned about the normal distribution at https://brainly.com/question/24663213

PLEASE HELP I ILL MARK BRAINLIEST

Answers

Answer: 90 dergrees

Step-by-step explanation: 90 dergrees

find the value of x to the nearest tenth

Answers

Answer:

X, to the nearest tenth would be 27.

Step-by-step explanation:

Sin(theta) = adjacent/hypotenuse

Sin64 = x/30

X = sin64 x 30

X= 26.963…

Use the drawing tools to form the correct answer on the graph.
Graph this system of equations on the coordinate plane:
y = -3x + 3
y = 1/2x - 4

Answers

Answer:

The answer would be (2,3) or you can find the answer in desmos

Step-by-step explanation:

You can input the coordinates in Desmos graphing calculator for the graph

What is the percent if 200 is the total and 150 is the part?

Answers

Answer:

75%

Step-by-step explanation:

75% of 200 is 150

Answer:

75% since [tex]50 + 50 + 50 = 150[/tex] which is [tex]3[/tex] quarters of [tex]200[/tex]

Please mark brainliest.

URGENT!!! HELP!!!
You spend a $20 per turn on a fair game to win $50 for each win. You lose the first round but win the next two rounds.
What was the net payoff?


$100


-$60


-$30


$40

Answers

The net payoff obtained during the game is $40. Option D is the correct answer.

What is net payoff?

The term "net payoff" describes the profit or loss realised from a transaction or operation after deducting all costs, charges, and taxes. It is determined by deducting the total cost of the activity or investment from the total income received. A gain is shown by a positive net reward, whereas a loss is indicated by a negative net payoff.

Given that, each round cost $20, and each win gives $50.

Now, for 3 rounds the total cost is:

$20 x 3 = $60

After winning the two round the win amount is:

$50 x 2 = $100

Now, the net payoff is:

$100 - $60 = $40.

Hence, the net payoff obtained during the game is $40. Option D is the correct answer.

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Yo I need to bring up my grade bad so
2x=5+y
(please show it graphed already :D)

Answers

Answer:

Step-by-step explanation:

in need help in this

Answers

Answer:

Vertex form is

[tex]a(x - h) {}^{2} + k = y[/tex]

where (h,k) is the vertex

So our vertex form is

[tex]a(x - 3) {}^{2} + 5 = y[/tex]

It passes through (6,0) so we have

[tex]a(6 - 3) {}^{2} + 5 = 0[/tex]

Solve for a.

[tex]a(3) {}^{2} + 5 = 0[/tex]

[tex]a(9) = - 5[/tex]

[tex]a = \frac{ - 5}{9} [/tex]

So our equation is

[tex] - \frac{5}{9} (x - 3) {}^{2} + 5[/tex]

The radius of a circle is 15 in. Find its area in terms of \piπ

Answers

Answer:

Step-by-step explanation:

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex]15²

A = [tex]\pi[/tex]225

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