Find the length of the arc subtended by a central angle of 2 radians in a circle whose radius is 30 ft.

Answers

Answer 1

Answer:

[tex]60\pi[/tex]

Step-by-step explanation:

Use this arc length formula,

[tex]s = r \times x[/tex]

where s is the arc length, r is the radius and x is the radians.

[tex]30 \times 2\pi = 60\pi[/tex]


Related Questions

300 mountain bike is discounted by 30% and then discounted an additional 10% for shoppers Who arrive before 5 AM find the sales price of the bike what was the total savings

Answers

Answer:

hodiwkwoleñelflelflgkkg

[tex]\frac{x}{2}+2+=-2\\[/tex]

Answers

-8 is your answer so x=-8

HELP ASAP. is the relationship shown in the table below proportional? if so, what is the ratio of the hours driven to miles traveled? (k value)

Answers

Not proportional because the numbers jump around

what type of proportion is shown in 12 : 4 = 24 : 8?​

Answers

Answer:

3:1

Step-by-step explanation:

Complete the tables to determine if the expressions are equivalent. If the expressions are equivalent, name the properties that make them equivalent.

Answers

Answer:

For both charts:

Top boxes: -12

Middle Boxes: -9

Bottom Boxes: -6

The equation is given by A = 3 ( x - 5 ) and B = 3x - 15 and they are equivalent

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be represented as A

Now , the value of A is

A = 3 ( x - 5 )  be equation (1)

Now , let the second equation be represented as B

Now , the value of B is

B = 3x - 15   be equation (2)

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 - 5 )

A = 3 ( -4 ) = -12

when x = 2

A = 3 ( 2 - 5 )

A = 3 ( -3 ) = -9

when x = 3

A = 3 ( 3 - 5 )

A = 3 ( -2 ) = -6

Now , on simplifying the equation (1) , we get

Substituting the value of x = 1 , 2 , 3 in equation (1) , we get

when x = 1

A = 3 ( 1 ) - 15

A = 3 - 15 = -12

when x = 2

A = 3 ( 2 ) - 15

A = 6 - 15 = -9

when x = 3

A = 3 ( 3 ) - 15  

A = 9 - 15 = -6

So , the values of the expressions are the same

Now , applying the distributive property on equation (1) , we get

A = 3 ( x - 5 )

A = 3x - 3 ( 5 )

A = 3x - 15 = B

Hence , the equations are equivalent

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

How many possibilities are there for a license plate with all numbers?

Answers

Answer:

2,176,782,336

Step-by-step explanation:

find the measure of the missing angles, need help :/

Answers

Answer:

g= 97 h=83 k=66 m=114

Step-by-step explanation:

the opposite angles are listed subtract those numbers from 180 and you get your answer :)

Hop this helps!!

g = ninety seven, and h = eighty three, k = sixty six and m = one hundred and fourteen!

~iwa-chan

What is the first thing you should do to solve this equation?

-3x - 4(4x - 8) = 3(-8 - 1)

Answers

Answer:

Distribute -4 through the parantheses so it can be easier so solve or its either that or collect the like terms

Step-by-step explanation:

Let me know if this helps.. If its not right then let me know so I can see if I can fix it

if you know pemdas you should always start w parentheses (reading left to right) so -4*4x, -4*-8 and then to 3(-8-1)

Mr. and Mrs. Doran have a genetic history such that the probability
that a child being born to them with a certain trait is 0.22. If they have
four children, what is the probability that at most two of their four
children will have that trait? Round your answer to the nearest
thousandth.

Answers

Answer:

0.964

Step-by-step explanation:

It tells to round to the nearest hundredth and to only use numbers and decimal points. Please help ​

Answers

Answer:

189.27 ft²

Step-by-step explanation:

Find the area of the rectangle, then the semi-circle, then add the sums.

1.) Rectangle ▭

║A = lw

║A = 10 ⋅ 15

║A = 150

2.) Semi-circle◗

║A = [tex]\frac{1}{2}[/tex](πr²)

║A = [tex]\frac{1}{2}[/tex](π ⋅ 5²)

║A = [tex]\frac{1}{2}[/tex](78.54)

║A = 39.27

3.) Adding sums +

║150 + 39.27 = 189.27

[Your answer should be 189.27 ft²]

Find the balance in the account.
4. $3,900 principal earning 2%, compounded annually, after 3 years

Answers

Answer:

$4138.7

Step-by-step explanation:

P= $3,900

R= 2%

T or n= 3 years

compounded anually (yearly) so:

A= P(1+[tex]\frac{R}{100}^n[/tex])

A= 3900(1+[tex]\frac{2}{100}^3[/tex])

A= $4138.7

Plz answer for 25 points
question is in pic but answer choices are
10
6
3
2

Answers

Answer:

10 Hope this helps, report the other answer that had this link: fastshorter.ml/5Gh3

Don't listen to that

Step-by-step explanation: I don't post links that are unhelpful, that'll get me in trouble

10 and also I’ve seen the fast shorter thing earlier and I had to report it

First come first served brainiest

Answers

Step-by-step explanation:

firat one 50.24

second one 63.585

solve the equation using square roots. round your solutions to the nearest hundredth. X^2+11 = 24

Answers

Answer:

I have no idea I am not sure i think 14

Step-by-step explanation:

Help if right U GET ................. U KNO WAH

Answers

Answer:

a: 448 gallons

b: 5 fish

Step-by-step explanation:

PLEASE HELP IM REALLY STUCK ON THIS SO BADLY

Answers

Answer:

y is 13 and x is 14

Step-by-step explanation:

because 13-10= 3 and 19-14=5

Please mark as brainliest!

Ace this test my friend!

Hope this helps!

PLSS HELPP

Find the trigonometric ratio as a fraction Tan N =
Find the trigonometric ratio as a fraction Tan L =

Answers

I think the answer for #1 is 3/4 and for #2 is 3/5.

Answer:

Tan N = 4 / 3

Tan L = 3 / 4

Step-by-step explanation:

By Pythagoras theorem,

(LN)² = (MN)² + (LM)²

10² = 6² + (LM)²

100 = 36 + (LM)²

(LM)² = 100 - 36

(LM)² = 64

LM = 8

Tan N

= Opposite / Adjacent

= LM / MN

= 8 / 6

= 4 / 3

Tan L

= 1 / Tan N

= 1 / ( 4 / 3 )

= 3 / 4

HELP ASAP!!? HELP ME PLEASE!! 10 POINTS

Answers

Answer:

D)  3x²y

Step-by-step explanation:

Which graph represents a reflection of f(x) = 2(0.4)x across the y-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5). On a coordinate plane, an exponential function decreases from quadrant 3 to quadrant 4 and approaches y = 0 in quadrant 3. It crosses the y-axis at (0, negative 2) and goes through (1, negative 5). On a coordinate plane, an exponential function decreases from quadrant 2 to quadrant 1 and approaches y = 0 in the first quadrant. It goes through the y-axis at (0, 2) and goes through (negative 1, 5). On a coordinate plane, an exponential function increases from quadrant 3 to quadrant 4 and approaches y = 0. It goes through (negative 1, negative 5) and crosses the y-axis at (0, negative 2).

Answers

The graph of g(x) is (a) an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 2) and goes through (1, 5).

The function f(x) is given as:

[tex]f(x) = 2(0.4)^x[/tex]

The rule of reflection over the y-axis is:

[tex](x,y) \to (-x,y)[/tex]

This means that:

[tex]g(x) =f(-x)[/tex]

Substitute -x for x in f(x)

[tex]f(-x) = 2(0.4)^{-x}[/tex]

Substitute the expression for f(-x) in the above equation [tex]g(x) =f(-x)[/tex]

[tex]g(x) = 2(0.4)^{-x}[/tex]

Hence, the graph of g(x) is graph (a)

Read more about function transformation at:

https://brainly.com/question/12619643

The area of the parallelogram is 936 sq ft what’s the height

Answers

Answer:

h = 24 ft

Step-by-step explanation:

A = 936 ft^2, b = 39 ft.

A = bh

Divide both sides by b:

h = A/b = 936 ft / 39 ft = 24 ft  

Find the volume of a box with dimensions: 5 ½ by 8 by
4 ½ inches..

Answers

Answer:

178  1/2  inches cube

Step-by-step explanation:

Volume = length * width * height

 

           = 8 1/2  * 5 1/4  *  4

 

           =  17/2  * 21/4    * 4

 

            = 1428 / 8

 

             =357/2

 

          = 178  1/2  inches cube.

Ridzuan jogs in the morning for every 4 days
and plays badminton in the evening for every 6
days. If on a particular day, Ridzuan jogs in the
morning and plays badminton in the evening, how
many days later would he jog and play badminton
again on the same day?​

Answers

Answer:

24 days

Step-by-step explanation:

Jogs every 4 days

Badminton every 6 days

If on a particular day, Ridzuan jogs in the

morning and plays badminton in the evening, how

many days later would he jog and play badminton

again on the same day?

Find the lowest common multiple of 4 days and 6 days

4 days = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52

6 days = 6, 12, 18, 24, 30, 36, 42, 48, 54

The lowest common multiple of 4 days and 6 days is 24 days

It would take Ridzuan 24 days before he would jog and play badminton again on the same day

6. Tom cycles to his Grandmother’s house, which is 12km from his home.
He stays there for 45 minutes.

The distance-time graph shows his journey.

Work out the fastest speed that Tom cycles at on his way to his grandmother’s house.

Answers

Answer:

fastest:  his rate of change from 9am-9:30am was 4 km per 15 minutes

Step-by-step explanation:

his rate of change between 10-11am was zero

between 9:30 and 10:00 his rate of change was 2 km per 15 minutes

Write an expression.. NO LINKS
NEED HELP ASAP!!!

Answers

Answer:

-10.50*3

=-31.5

Find the lateral area of this cone.
Leave your answer in terms of .
15in
12 in
LA = [ ? ]t in
Hint: Lateral Area of a Cone = mre
Where e = slant height

Answers

Given:

Radius of the base of the cone = 12 in.

The slant height of the cone = 15 in.

To find:

The lateral surface area of the given cone.

Solution:

The lateral surface area of the cone is:

[tex]LA=\pi rl[/tex]

Where, r is the radius of the base of the cone and h is the slant height of the cone.

Putting [tex]r=12,h=15[/tex], we get

[tex]LA=\pi (12)(15)[/tex]

[tex]LA=180\pi[/tex]

The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.

Answer:

Lateral is 180π

SURFACE AREA IS 340π

Step-by-step explanation:

I NEED HELP ( this is the semester review thingy and there just introducing me to angels, not even a lesson :( )
Find the measure of angle x in the figure below
35°
48°
69°
78°

Answers

180-(59+52)=69
Y=69
All angles in a triangle add to 180°
So 63+69=132
180-132=48
X=48°

Answer:

Step-by-step explanation:

So we know that a straight line adds up to 180 degrees.

This means that:

52+59+y = 180

y + 111 = 180

y = 69

We also know a triangle also adds up to 180 degrees.

This means that:

y+x+63 = 180

69+63+x = 180

x + 132 = 180

x = 48

Ted bought a fishing pole for $35.99, bait for $16.99, and a pair of shorts for $21.99. He had a coupon for 50% off the shorts only. What was the total cost of Ted’s items before tax?

Answers

Calculate the shorts price first
Since the short is 50% off, you can just divide the shirt cost by 2
21.99/2 = $10.99500 for shorts
Add all the items together now
35.99 + 16.99 + 10.99500
= 63.97500
Solution: $63.98

1. What is the tax owed by an individual with an annual income of 40,000.

Answers

Answer:

4,000

Step-by-step explanation:

If you are single and a wage earner with an annual salary of $40,000, your federal income tax liability will be approximately $4,000.

pleaseeee please please

Answers

Answer:

Step-by-step explanation:

Problem: Which expressions are equivalent to 2(x - 7)?
Answer:
Type equation here.


PLEASEE HURRY

Answers

Answer:2x-14. Explanation: distribute 2 to both terms
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