The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector

Answers

Answer 1

Answer:

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°


Related Questions

What is the sum of the interior angles of a 15-gon?

Answers

Answer:

2340 degrees

Step-by-step explanation:

Each triangle has an angle sum of 180 degrees, therefore the sum of interior angles of 15-gon will be 13×180=2340

8.2.AP-7
B
Find the measure of side c.
a = 26 m
C
C=
m (Round the answer to the nearest whole number.)

Answers

Answer:

c ≈ 40

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{26}{c}[/tex] ( multiply both sides by c )

c × sin40° = 26 ( divide both sides by sin40° )

c = [tex]\frac{26}{sin40}[/tex] ≈ 40 ( to the nearest whole number )

What is the volume of this rectangular prism?

Jasper built a dollhouse for his younger sister.

A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)

Answers

Answer:

It's A :)

Also can i please have brainliest :)

Answer:

A

Step-by-step explanation:

The perimeter of a rectangular room is 24 meters.The width of the room is 4 meters. Find the length of the room.

Answers

Answer:

20 metes

Step-by-step explanation:

:)

Please I need this will mark brainliest

Answers

im editing it i pressed send by accident

Answer:

8) x - intercept: (-7, 0)

y - intercept: (0, -7)

9) x- intercept: (4,0)

y- intercepts: ( 0, 8)

10) x- intercepts: (9,0)

y- intercepts: (0,3)

Step-by-step explanation:

A NASA test rocket is launched from the top of a 101 foot cliff with an initial
velocity of 116 feet per second. The function h(t) = -16t2 +116t + 101 gives the
height, h(t), in feet of the rocket t seconds after it's launched.
How long does it take for the rocket to reach the ground?

Answers

Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

Y=x^(2)-12x+36
Please explain step by step

Answers

Step-by-step explanation:

♡︎♡︎♡︎♡︎♡︎♡︎♥︎♥︎♡︎♥︎

hellohello, this needs to be turned in tomorrow so if you could help, i would really appreciate it. :]

Answers

Answer and Step-by-step explanation:

We are given the side lengths, so all we have to do is multiply each rectangle's lengths and widths to get their areas, then add them together,

Top rectangle Area:

4 × 7 = 28

Bottom rectangle Area:

6 × 8 = 48

Now, we add them together.

Total Area:

28 + 48 = 76

The total area of the figure is 76 [tex]units^{2}[/tex].

#teamtrees #PAW (Plant And Water)

5. Write 2/3 and 3/4 as equivalent fractions using a common denominator.​

Answers

Answer:

8/12, 9/12

Step-by-step explanation:

2/3 = 8/12

3/4 = 9/12

I need help finding the slope

Answers

Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

help me pls its hard for me atleast

Answers

Answer:

the awnser is 12 because you have to divide

Step-by-step explanation:

Answer:

([tex]12[/tex]) pastries in one hour.

Step-by-step explanation:

This problem involved the concept of rates. A rate is a way of expressing the amount of work done compared to the amount of time it took, to find the pace at which one does the work. To express a rate, the general format used is:      ([tex]work:time[/tex])

Substitute in the given values:

[tex]30:2.5[/tex]

In the problem, one is asked to find how many pastries can be made in one hour. To find this value, divide the rate by (2.5). This will leave (1) on the time side, and the amount of work done on the (work) side.

[tex]30:2.5[/tex]

[tex]12:1[/tex]

([tex]12[/tex]) pastries in one hour.

work out the equation for each graph in the form
y=mx+c

please help !

Answers

Answer:

Top first one is y=-3x-3.

Step-by-step explanation:

I know you will be able to figure out the rest. I will explain. The problem if I just give you the answers are you won’t be actually able to solve it when you encounter it on like a test or something.

The explanation:

m=rise/run.

c=y intercept/ where it is on the y-axis.

if you go down on the y axis, it would negative. The opposite will be true if you go up.

I also think it is supposed to be y=Mx+b instead of y=Mx+c.

hopefully that made sense.

Please Help ASAP!!!!!!!!

Answers

Your slope=-2
Which is 2/1 (rise/run)
Your y-int=-1 (which means your graph should touch the -1 on the y-int

So your answer would be A

The degree of the problem

Answers

Answer: A. 5

Step-by-step explanation:

If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market

Answers

Answer:

1.96

Step-by-step explanation:

A farmer sells 9.8 kl of apples and pears

4/5 of this weight is apples, while the rest are pears

Therefore the wight of pears can be calculated as follows

Let x represent the weight of pears

9.8= 4/5×9.8 + x

9.8= 0.8×9.8+x

9.8= 7.84+x

9.8-7.84= x

x= 1.96

I need help, please anyone!

Answers

1.45 is the answer! brainliest

Choose the correct phrase for 8n

A 8 plus n
B 8 divided by n
C 8 times n

Answers

the correct answer is c

need help today!!!! plzs

Answers

Answer:

x=29

Step-by-step explanation:

cuz it's a 90 degree angle so 90-32 is 58 and divide it by 2 is 29 which would be x=29

what is the answer of 2m^2 * 2m^3

Answers

Answer:

4m^5

Step-by-step explanation:

Answer:

4m^5

Step-by-step explanation:

A number "X" greater than 8

Answers

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

50+50times 2 divided by zero add10 plus ur age then add 50

Answers

Answer: 420

Step-by-step explanation:

HELPPPPPPP!!!!!!!!!!!!!!​

Answers

Answer:

the top and bottom ones

Step-by-step explanation:

In two or more complete sentences, compare the number of
x-intercepts in the graph of
f(x)=x2 to the number of x-intercepts in the graph of g(x)=−x2−5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answers

Answer:

Step-by-step explanation:

You meant x^2, right?

We get the graph of g(x) through two transformations of the graph of f(x):  

1.  Reflect the graph of f(x) about the x-axis.

2. Translate the graph obtained in (1) 2 units down.

Please I Really need help with this my teacher would not help me ;-;
A positive integer whose actual value is less than |-6| and greater than |-4|.

Answers

Answer:

|-5| or 5

Step-by-step explanation:

The "|- |" means the absolute value of a number. One example of this is |-2| is 2. Now, with that being given, the absolute value or | | of |-6| is 6! The same applies for 4. So what positive number is between 4 and 6?

4, 5, 6!

5 is the answer as a positive integer, or you can say |-5|

Hope this helps!

how to solve this? Is the question correct? ty :)

Answers

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given

2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex]   [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division

6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex]         [tex](x^{-1})^{-1}[/tex]

7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex]  Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property

10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result


Please answer both of you can

Answers

You can put a 1 for the x that is by itself
Put a 1 for the x that is by itself

Thankssssssss

Help please and thank you

Answers

Answer:

1000

Step-by-step explanation:

well just round it to the nearest thousand

45 is the answer :)
hope this helps

Please help, i need it for a test, I'll give you brainliest :]

Answers

Answer:

Step-by-step explanation:

C

Find 33⅓% of ⅘ of $4.50.​

Answers

The answer i got was 120666.6 dollars

I hope this helps you :)

The lenths of the 2 legs of right triangle abc show below are given in inches. The midpoint of ab is how many inches from A ?

Answers

Answer:

Option B

Step-by-step explanation:

The complete question is attached

As we can see in the image , ABC is a right angle triangle

Thus as per Pythagorean theorem, to find line AB

AB2 = 322 + 242

AB2 = 1024 + 576

AB2 = 1600

Taking square root of both the sides, we get –  

AB = √1600

AB = 40

The mid point of AB = AB/2 = 40/2 = 20

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