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

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

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.

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.)

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

Answers

Answer:

-2

Step-by-step explanation:

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

Find the product of 22.4 and 0.51

Answers

Answer:

11.424 is the product of 22.4 x 0.51

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

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]

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

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

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

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 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.

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

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.

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.

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.

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.

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

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°

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 ..??????

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

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°

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

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

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:

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

Find the surface area. Urgent!

Answers

Answer:

306 cm²

Step-by-step explanation:

Sorry if this is wrong doing mental math

$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 a possible solution to x ≥ −2?

Answers

Answer:

5

Step-by-step explanation:

Other Questions
Should society control its population? Why or why not? A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added? guyss help plss i need serious answer I'm burid with work plss beg :( In baseball what is an umpires action for walk 25 POINTSSS AND BRAINLY THE SELECTED ANSWER IS WRONG BTW Liquid water - heat =Pls help now!!! Help fast as you can worth 7 points A car moving at a constant speed passed a timing device at t= 0. After 8 seconds, the car hastraveled 752 ft. Write a linear function rule to model the distance in feet d the car has traveled anynumber of seconds t after passing the timing device.The linear function rule is d = What is the value of y? The Filling Department received 52,900 ounces from the Blending Department. During the period, the Filling Department completed 67,000 ounces, including 16,700 ounces of work in process at the beginning of the period. The ending work in process inventory was 2,600 ounces.Required:How many ounces were started and completed during the period?b que se necesita para llevar una dieta balanseada Solve for . 3 = 8x - 5 (3x + 5) Which branch of government collects taxes? Which branch makes a state of the Union Address each year ? How are the layers of Earth and the spheres of Earth related? A triangle has a 90 angle. What type of triangle is it?A) Acute triangleB) Right triangleC) Equilateral triangleD) Isosceles triangle Eva's mother will add $5 to all otherdonations that she collects for the schoolfund drive.Let a = all other donations.Let t = total donations.Graph t = a + 5. NEED HELP ASAP!!! Which of the following shows the prime factorization of 72 using exponential notation?A) 8x9B)2^2 x 3^2C)2 x 6^2D)2^3 x 3^2 The word controversy means disagreement or heated dispute. Which of the following could lead to a controversy over dogs at a park?A: One person proposes a separate dogs only park and the rest agreeB: Everyone believes that dogs should be allowed in the parkC: Some people believe dogs should be allowed and others believe should not In the endothermic reaction below, how would adding heat affect the equilibrium of the system? (2 points)A + B + energy + Da. shift it to the left toward the reactantsb. shift it to the right toward the productsc. equally create more products and reactantsd. it would have no effect The given graph represents the function f(x) = 2(5)^x[tex]f(x) = 2( {5})^{x} [/tex]How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0a) the graph will increase at a slower rateb) the graph will show a decreasing, rather than increasing, functionc) the graph will show an initial value that is lower on the y-axisd) the graph will increase at a constant additive rate, rather than a multiplicative rate