The radius of a circle is 9 feet. What is the length of a 90° arc?

Answers

Answer 1

Answer:

[tex]\frac{9\pi }{2}[/tex] feet, or 14.14 feet

Step-by-step explanation:

Use the arc length formula:

s = rθ

To use the formula, we have to convert the central angle to radians.

90° is equivalent to [tex]\frac{\pi }{2}[/tex] radians, so plug this and the radius into the formula:

s = rθ

s = (9)([tex]\frac{\pi }{2}[/tex])

s = [tex]\frac{9\pi }{2}[/tex]

So, the length of the arc is [tex]\frac{9\pi }{2}\\[/tex] feet, or approximately 14.14 feet


Related Questions

FIRST CORRECT ANSWER GETS BRAINLIEST! CALCULATE THE SLOPE FOR INTERVAL A.

Answers

Answer:

60

Step-by-step explanation:

The slope is going to be rise over run which is feet/seconds

from (0,0) to (600,10) which is a the line rises up 600 feet and runs 10 seconds

so it is just 600/10 which is 60

Hope that helps :)

Answer:

I'm guessing this is a coordinate plain so the answer would be

Step-by-step explanation:  

5 , 300

the cost of strawberries if they are $2 per pound the subject is translating expressions ​

Answers

Answer:

2(equation)

Step-by-step explanation: multiply the equation by 2 to get the price

Solve the equation using addition or subtraction
22 + 15 = d - 17

Answers

Answer:

d=54

Step-by-step explanation:

22 + 15 = d - 17

37=d-17

54=d

d=54

Answer:

d=44

Step-by-step explanation:

22+15=37 so ?-17=37 well its 44 because 44-17=37

For #'s 5 - 12: Find the length of the side labeled . Round to the nearest tenth.

Answers

Answer:

for answer 5 - 12 use the below

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

5)

we know the Hyp and the angle and want to find the Opp so use  Sin.. since it's got all of those.

Sin(35) = Opp / 10

10 * Sin(35) = Opp

5.7357 = Opp

x = 5.7 inches

6)

same as 5 but now we want to find the Adj side sooo... use Cos

Cos(54) = Adj / 36     ( from the picture I'm unsure if it's 36 or 35 )

36 * Cos(54) = Adj

21.160 =Adj

x = 21.2 meters

7)

now we know the angle and the Adj side and want to find the Opp , lets use Tan for that

Tan(20) = Opp / 47

47 * Tan(20) = Opp

17.1066 = Opp

x = 17.1 feet

8)

this is identical to 5) but the turned the shape so it looks different, but it's not

Sin(16) = Opp / 18

18 * Sin(16) = Opp

4.9614 = Opp

x = 5.0 cm

9)

this one is another   Opp and Adj  so use Tan again

Tan(65) = Opp / 7.5

7.5 Tan(65) = Opp

16.083 = Opp

x = 16.1 miles

10)

Hyp, angle , Adj, so use Cos

Cos(51) = Adj / 60

60 * Cos(51) = Adj

37.759 = Adj

x = 37.8 feet

11)

angle , Opp, find Hyp  sooo... use Sin

Sin( 36) = 28 / Hyp

Hyp = 28 / Sin(36)  

Hyp = 16.45798

x = 16.5 meters

12)

dealing with Adj, Opp and angle , use Tan again

Tan(60) = 90/ Adj

Adj = 90 / Tan(60)

Adj = 51.961

x = 52.0 inches

An engineer designs a cylindrical tank to have a capacity of 4356 cubic inches.
The tank has a diameter of d = 18.5 in. What is the height (h) of the tank to the
nearest tenth of an inch?

Answers

Answer:

16.2 in.

Step-by-step explanation:

Vol. of cylindrical tank = Bh, where B is the area of the base

Since the base is a circle, B = [tex]\pi r^{2}[/tex]

r = 18.5/2 = 9.25  and let's use 3.14 for π

So.  4356 =[tex]3.14(9.25^{2} ) h[/tex]

                = 268.66625h

h = 4356/268.66625

h = 16.2134... = 16.2 in to the nearest tenth of an inch

Shirts at A water park come in green or yellow they come in small or large they also have short Sleeves oat long sleeves how many Combinations of different colors size and sleeve are there

Answers

I’m pretty sure that it’s 6

right triangles & trigonometry can someone help me!!!!!!! please

Answers

Answer:

angles on a straight line add up to 180°

Step-by-step explanation:

90+51=141

180-141

=31

<MLJ=31°

72+90=162

180-162=18

<KJL=18°

A
4 yards
B
C
15 yards
Find the area of ABC.

Answers

Answer:

what is this supposed to mean

it is not specified

help me please !!!will give brainliest

Answers

Answer:

1. C

2. B

3. B

4. A

Answer:

1)c 2)b 3)b 4)a

Step-by-step explanation:

ez

need answer asap

2r+3s-t=3
solve for r,s,and t

Answers

Answer:

t=2

Step-by-step explanation:

this is the t answer k

Answer:

Use Photo math. It will explain the steps.

How is the area of the parallelogram related to
the area of a triangle with the same base and height?

Answers

Answer:

Both use bh but triangle is 1/2bh

Step-by-step explanation:

Formulas

Parallelogram bh

Triangle 1/2bh

write equations help.

Answers

don’t everrr click on the links, they try and hack you. stay safe boo xo

Find the value of x so that the ratios are equivalent. 9:x and 54:8
I keep trying 48 its never right

Answers

Answer:

Maybe it is right, but you need to phrase it a different way

Step-by-step explanation:

like x= 48

or 48

or 9:48

you know

The value of x so that the ratios are equivalent is 48.

How to obtain real measurements from the ratio of two measurements?

Suppose the  real measurements were "a" and "b"

Then their ratio will be formed as

[tex]\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}[/tex]

where  is a common factor (not 1)

Which shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly cancelled from both the numerator and the denominator.

Thus, a = px, b = qx

Therefore, the value of x so that the ratios are equivalent.

9:x and 54:8

x= 48

or 9:48

Hence, the value of x so that the ratios are equivalent is 48.

Learn more about ratio here:

brainly.com/question/186659

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If x + 15 = 30, what is the value of 2(x – 5)?

PLEASE ANSWER TODAY!!!

Answers

Answer:

Answer is 20

Step-by-step explanation:

X+15=30

30-15= 15 so that means 15+15=30

2(x-5) X is 15 so 15-5=10 then multiply by 2.

The required value of 2(x – 5) is 20 when the equation is x + 15 = 30.

What is an equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows

x + 15 = 30

First, we can solve for x by subtracting 15 from both sides of the equation:

x + 15 - 15 = 30 - 15

x = 15

Next, we can substitute this value of x into 2(x – 5):

2(x – 5) = 2(15 – 5)

2(x – 5) = 2(10)

2(x – 5) = 20

Therefore, the value of 2(x – 5) is 20.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ6

25^x = 125^(x+3)

a. x = -10
b. x = -9
c. x = -3
d. x = 3

Answers

Answer:

25^x = 125^(x+3)

5^2x=5^3(x+3)

we get

2x=3(x+3)

2x=3x+9

-9=3x-2x

x=-9

option

b. x = -9 is right answer.

The solution is x = -9.

To solve the equation 25ˣ = 125ˣ⁺³, we can simplify the equation using the fact that 125 is equal to 5³.

Rewriting the equation with this substitution:

25ˣ = (5³)ˣ⁺³

Since [tex](a^b)^c[/tex] = [tex]a^{(bc)[/tex], we can simplify the equation further:

5²ˣ= (5³)ˣ⁺³

Now, we can see that both sides of the equation have the same base (5), so the exponents must be equal.

2x = 3(x+3)

Let's solve for x:

2x = 3x + 9

2x - 3x = 9

x = -9

Therefore, the solution is x = -9.

Learn more about Exponents and power here:

https://brainly.com/question/28515493

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How many solutions does 4x + 5 = 6(x + 3) - 20 - 2x have? Show your work.

Answers

Answer:

X∈∅

Step-by-step explanation:

4x + 5 = 6(x + 3) - 20 - 2x

distribute the 6

4x+5=6x+18-20-2x

collect like terms

4x+5=4x+18-20

4x+5=4x-2

cancel equal terms

5=-2

statment is false for any value of x

X∈∅

10 The sum of three numbers is
73. The second number is
twice the first, and the third is 3
more than the second. Write and
solve an equation to determine the
three numbers.

Answers

Answer:

x = 14.

Step-by-step explanation:

So, we know that the sum of 3 number is 73. The second number is twice the first, and the third is 3 more than the second. We can turn this into an algebra equation.

x + 2x + 2x + 3 = 73.

If we solve, this, we get x = 14.

Which expression is undefined?​

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex] \frac{8}{( - 2 + 2)} = \frac{8}{0} = undefined \\ [/tex]

Compare and contrast the formulas for the volume of a pyramid and the volume of a cone.


Because a pyramid has a non-circular base, the volume is always described in square units, but the volume of a cone is stated in cubic units.

Because a pyramid has a non-circular base, the volume is always described in cubic units, but the volume of a cone is stated in square units.

Both formulas are 13Bh, but the base of a pyramid is always a square.

Both formulas are 13Bh, but the base of a cone is always a circle.

Answers

1/3BH it is a circle 24/7 so that’s what the answer is

These cylinders are similar. Find the volume of
the smaller cylinder. Round to the nearest tenth.
5 cm
|3 cm
Volume = [? ] cm3
Volume = 393 cm3

Answers

Answer:

[tex]V_s=85\ cm^3[/tex]

Step-by-step explanation:

Let [tex]V_s\ and\ V_b[/tex] be the volumes of the smaller and bigger cylinder.

The formula for the volume of a cylinder is given by :

[tex]V=\pi r^2 h[/tex]

As the two triangles are similar, the cube of their ratio would equal the ratio of their volume i.e.

[tex]\dfrac{V_s}{V_b}=(\dfrac{h_s}{h_b})^3\\\\\dfrac{V_s}{V_b}=(\dfrac{3}{5})^3\\\\\dfrac{V_s}{V_b}=0.216\\\\V_s=393\times 0.216\\\\V_s=84.8\\\\or\\\\V=85\ cm^3[/tex]

So, the volume of the smaller cylinder is equal to [tex]85\ cm^3[/tex].

Answer:

The answer would be 84.9cm^3

Step-by-step explanation:

You welcome fill in the box

84.9

Can someone please help

Answers

Answer:

I think is b

Step-by-step explanation:

Ii just did the math and I think is b

what is the domain and range of the functions(3,1),(2.8), (1,9), (-3,7), (5,5)

Answers

Answer:

(3,1) : Domain = 3

        Range = 1

(2,8) : Domain = 2

        Range = 8

(1,9) : Domain = 1

        Range = 9

(-3,7) : Domain = -3

        Range = 7

(5,5) : Domain = 5

        Range = 5

The additive inverse of (-2x + 4) is __________.
choices:
1. -2x + 4
2. 4x + 2
3. (-2x – 4)
4. (2x – 4)

Answers

Because -2x+4+2x-4=0, the additive inverse is (2x-4)

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

Answers

Answer:

Infinite solutions

Step-by-step explanation:


The figure below is a parellelogram. What type(s) of symmetry does it have?
Rotational Symmetry
Line and Rotational Symmetry
Line Symmetry
No Symmetry

Answers

Line symmetry I think

-2(x+5)=4
(____)• x + (___• 5) = 4
___+___= 4

____ = 4+ ____
x=14/___

X=

Answers

Answer:

-2(x+5)=4

(-2)• x + (-2• 5) = 4

-2x+-10= 4

-2x = 4+ 10

x=14/2

X=7

Step-by-step explanation:

If you need an explanation, please tell me in comments

If this helps you, please mark as brainliest

X = -7-------------------------------------

Step-by-step explanation:

-2(x + 5)= 4

-2x - 10 = 4

-2x = 4 + 10

-2x = 14

x = -7

-------------------------------------FOLLOW ME

These two triangles are similar. Solve for X.

Answers

Answer:

Hello I am not 100% on my answer but I would assume that X is 2.5 and Y is 6.5

Hope This Helps! please correct me if i am wrong

HELPPPP PLEASE I HAVE TO SUBMIT IN 20 MINS!!!!
:((((( only the first question

Answers

Answer:

any want zo. om. id=2139350377

pass=7neBw6

A student wants to describe the function graphed on the coordinate plane.

Which characteristics describe the function correctly?

Answers

Did got the answer,? I have the same one^-^

What is the area of the Largest square (BRAINLIST WILL BE GIVE IF ANSWER CORRECT)

Answers

Answer:

100units^2

Step-by-step explanation:

Using pythagoras theorem, it states that 36+64= area of the unknown

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A partial definition of the ExperimentalFarm class is shown below.public class ExperimentalFarm{private Plot[][] farmPlots;public ExperimentalFarm(Plot[][] p){/* implementation not shown */}/** Returns the plot with the highest yield for a given crop type, as described in part (a). */public Plot getHighestYield(String c){/* to be implemented in part (a) */}/** Returns true if all plots in a given column in the two-dimensional array farmPlots* contain the same type of crop, or false otherwise, as described in part (b).*/public boolean sameCrop(int col){/* to be implemented in part (b) */}}(a) Write the getHighestYield method, which returns the Plot object with the highest yield among the plots in farmPlots with the crop type specified by the parameter c. If more than one plot has the highest yield, any of these plots may be returned. 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