if the central angle is 3pie/4 and the radius is 13 what's the arc length

Answers

Answer 1

Answer:

The arc length is 9.75 pi units

Step-by-step explanation:

Mathematically, we use the formula below to get the length of an arc

Length of an arc is;

theta/360 * 2 * pi * r

where theta is the central angle

for 3pi/4 ; let us convert to degrees

The degree measure is 180 degrees for pi

so 3pi/4 will be (3 * 180)/4 = 135 degrees

So we have the arc length as follows;

135/360 * 2 * pi * 13 = 9.75 pi unit


Related Questions

A biologist was sitting near a pond and noticed a large number of dragonflies. He also saw both frogs and fish trying to eat the
dragonflies. He counted a total of 89 fish, frogs, and dragonflies. He noticed that there were four times as many dragonflies as fish and
that the frogs were five more than twice the number of fish

Answers

89 /3

frogs = 29.6

fish =  29.6

dragonflies =  29.6

all of them equal 89

Guessing you need to know how many of each animal there are

a = fish = 12
b = frog = 29
c = dragonflies = 48

a + b + c = 89

c = 4a (four times as many dragonflies as fish)
b = 2a + 5 (frogs were five more than twice the number of fish)

Then substitute for b and c in the big equation:

a + (2a + 5) + 4a = 89
Combine like terms:
7a + 5 = 89
Subtract 5 from both sides:
7a = 84
Divide both sides by 7:
a = 12

Now use this to solve for b and c

c = 4(12) = 48

b = 2(12) + 5 = 24 + 5 = 29

Please let me know if you have any questions.

$100 are shared between Adam and Hamza in the ratio 1:3.
A)
How many dollars did Adam receive?
How many dollars did Hamza receive?

Answers

Answer:

$25 for Adam and $75 for Hamza

Step-by-step explanation:

$100 will be divided to 3 + 1 = 4 parts

the dollars Adam received

= $100 × 1/4

= $25

the dollars Hamza received

= $100 × 3/4

= $75

-----------------------------------------------------------

the dollars Hamza give to Adam

= $75 × 25%

= $75 × 25/100

= $18.75

the dollars Adam have

= $25 + $18.75

= $43.75

the dollars Hamza have

= $75 - $18.75

= $56.25

the ratio

= 43.75:56.25

= 7:9

what is the measure of angle 1?

Answers

Since there was a ray drawn from A through C the exterior angle of angle C is angle 1. Any straight line should equal to 180 degrees.

Answer:

option a. 90°

angle 1=90°

what is the probability of that event's complement?
Pinot landing on heads
a) 1/2
b) 2/1
C 1/1
d) 1/4

Answers

A 1/2 is the answer

Simplify:

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

Answers

Answer:

-4x+3x power of 2 +2

Step-by-step explanation:

Answer:

3x² - 4x + 2

Step-by-step explanation:

distribute -2 into (3x - 1) and distribute x into (3x + 2)

=> -6x + 2 + 3x² + 2x

combine like terms

=> 3x² - 4x + 2

Find the surface area. Urgent!

Answers

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

How many combinations with repetition are allowed if n = 5 and r = 3?
120
125
10
35

Answers

10 possible combinations

Answer:

35

Step-by-step explanation:

Since repetition is allowed, we use the equation

((n+r-1)!/(r!(n-1)!) = 7!/(3!x4!) = 35

find the slope of a line through the points (-1,5) and (7,-11)

Answers

Answer:

-2

Step-by-step explanation:

If 5 boys write 5 pages in 5 minutes,

in how many minutes can one boy

write one page?​

Answers

Answer:

A boy can write one page in one minute

Answer:

5 minutesethhgdsyujjj

2x - 2y = -6,
2x + y = 9

Solve for the system of solutions and find the value of X and Y

x =

y =

Answers

Answer:

y=3 and x= 9/2

Step-by-step explanation:

Answer:

x=7

y=-5

Step-by-step explanation:

ive tryed the elimination way

(2x-2y=-6)-

(2x+y=9)

=-3y=-15

y=-5

2x+-5=9

2x=9-(-5)

2x=14

x=7

how abt that

solve (i) 4/15+x=17/30​

Answers

Answer:

3/10

Step-by-step explanation:

4/15+x=17/30

x=17/30-4/15

x=17/30-8/30

x=9/30

simplify

x=3/10

Help pls in three it’s homework don’t really have much time left

Answers

Answer:

3. Blanks from top to bottom: 3, 9, 54, 62

5. Blanks from top to bottom: 2, 8, 4, 80, 640

Step-by-step explanation:

Use PEMDAS!

3.

6 × (36 ÷ 12)^2 + 8 = 6 × (___)^2 + 8

Solve for the left side to find the blanks:

6 × (3)^2 + 8

6 × 9 + 8

54 + 8

62

5.

320 ÷ (11 - 9^3/2) × 8 = 320 ÷ (___^3/2) × 8

Solve for the left side to find the blanks:

320 ÷ (2^3/2) × 8

320 ÷ (8/2) × 8

320 ÷ 4 × 8

80 × 8

640

Which inequality correctly compares 1/2, 3/4, and 2/3

Answers

Answer:

3/4>2/3>1/2

Step-by-step explanation:

put into decimal form

1/2 = 0.5

2/3 = 0.66666666666

3/4 = 0.75

hii please help i’ll give brainliest

Answers

Answer:

-19

Step-by-step explanation:

Answer:

-19

hope it helps. Plz mark brainliest!

explanation:

To find its opposite, change the negative sign to a positive sign. The answer is that the opposite of 19 is -19.

Suppose you add or subtract two quadratic trinomials that use the same variable. What are the possible classifications for the sum or difference? Explain.
Please help me asap. T.T

Answers

Answer:

quadratic monomial, quadratic trinomial, constant monomial, linear monomial, quadratic binomial, linear binomial.

Step-by-step explanation:

two quadratic trinomials each have a degree-2, degree-1, and degree-0 term. It is possible that the coefficients of all or some of the terms cancel each other while adding or subtracting the polynomials.

Answer:

Here is the answer. Hope this helps Sorry it's blurry but you have to click on it and you will see the answer

Step-by-step explanation:

A kind teacher gives you 20 cents for every question you get right, but you have to pay the
teacher 10 cents for every question you get wrong. After 30 questions you have made a
profit of $1.80.
a ) Form an equation with x representing the number of questions you got right.
b )Solve your equation to find how many questions you got right.

Answers

Answer:

Let n be the number of questions you got right. Then

30-n equals the number of questions you got wrong.

So:

A) 20n-10(30-n)=180

30n-300=180

30n=480

n=16

30-n=14

B)You got 16 questions right and 14 questions wrong.

i need help with this if you help me i will mark you as brainliest if its right please dont put the answer in a file

Answers

Answer:

more than 7

Step-by-step explanation:

4+3 = 7

)sorry if i was wrong(

Answer: D

Step-by-step explanation:

You are just moving mn, so the length does not change. Its the same, just in different spots.

From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the distance of the boat from the foot of the light house?

Answers

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

State if the triangles in each pair are similar. Remember a) AA/SAS/SSS
b) prove it. C) write a similarity statement.

Answers

Start at point A as that is the first letter of the sequence ABC. The second letter is B so we'll record the length of segment AB, which is 4 units long.
Note how we have a segment that is also 4 units long in the other triangle; however, we won't use that one just yet. Instead, we'll go for the 2 unit segment. As it turns out, every piece of the triangle on the right side is half that of the left side triangle.
Segment ED is 2 units long. So AB and ED pair up
------------------------------
BC is 8 units long; DF is 4 units long (half of BC). So BC and DF pair up
I started at A, went to B, then to C in that exact order marking the side lengths of 4 and 8 respectively. At the same time for the other triangle, I started at E, moved to D, then to F recording the side lengths 2 and 4
So A pairs up with E, B pairs with D, and C pairs with F
Therefore, triangle ABC is similar to triangle EDF. The order is very important so that the points line up and correspond in the proper manner.
I used the SSS (side side side) similarity theorem to prove the triangles similar. This theorem says that if the sides are in proportion to one another, then the triangles are similar.

Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2​

Answers

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2​

y = kx

k = 150

Hence,

y = 150 × 2

y = 300

What is a possible solution to x ≥ −2?

Answers

Answer:

5

Step-by-step explanation:

Find the value of x in OQ. 5x-6
2x+9
Need help with this question asap!!

Answers

Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

Since, the chord is being bisected by the diameter (being divided into two equal parts). Hence,

5x - 6 = 2x + 9

5x - 2x = 9 + 6

3x = 15

Divide both sides by 3

x = 15 / 3

x = 5

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

If x+2y=12 and x-y=3 find the value of x+y

Answers

The answer would be 9

x-y=3
x=3+y

X+2y=12
(3+y) + 2y=12
3y+3=12
3y=9
Y=3

X-(3)=3
X=6

X+y
6+3=9

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Answers

Answer:

(2, 8)

Step-by-step explanation:

Given the system of equation

3x+2y=22  ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)

I did not pay attention to the class- so can someone explain how to do dis type of problem- and the answers-

Answers

which questions ..??????

Find the product of 22.4 and 0.51

Answers

Answer:

11.424 is the product of 22.4 x 0.51

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

A

Step-by-step explanation:

9, 12, 15 is a multiple of 3, 4, 5 which is a right triangle

Answer:

A. 9, 12, 15

Step-by-step explanation:

A. [tex]9^{2} +12^{2} =15^{2}[/tex]

B. [tex]6^{2} +2^{2}\neq\sqrt{38}^{2}[/tex]

C.[tex]3^{2} +9^{2} \neq \sqrt{91} ^{2}[/tex]

Help plz and the first and second options are.
First : any side,any two side,any three side
Second: less the. 90 degrees,greater then 90 and exactly 90

Answers

First: Two Sides
Second: Exactly 90°

Which equation has the same solution as
x2+4x-13=-7

Answers

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

I agree with the top answer because he explained it very well

BAC ~ DEC

x = ___ units​

Answers

Given:

[tex]\Delta BAC\sim \Delta DEC[/tex]

To find:

The value of x.

Solution:

We have,

[tex]\Delta BAC\sim \Delta DEC[/tex]

The corresponding parts of similar triangles are proportional.

[tex]\dfrac{AB}{ED}=\dfrac{AC}{EC}[/tex]

On substituting the values, we get

[tex]\dfrac{24}{56}=\dfrac{2x}{3x+5}[/tex]

[tex]\dfrac{3}{7}=\dfrac{2x}{3x+5}[/tex]

[tex]3(3x+5)=2x(7)[/tex]

[tex]9x+15=14x[/tex]

Subtract [tex]9x[/tex] from both sides.

[tex]15=14x-9x[/tex]

[tex]15=5x[/tex]

[tex]\dfrac{15}{5}=x[/tex]

[tex]3=x[/tex]

Therefore, the value of x is 3 units.

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