find radian measure when r=2.5m and l=4.5cm

Answers

Answer 1

Answer:

Step-by-step explanation:

s = rθ, where r is the radius, θ is the radian measure of the central angle, and s is the arc length.

4.5 = 2.5θ

4.5 / 2.5 = θ

1.8 = θ


Related Questions

The Sanchez family had dinner at their favorite restaurant. A 9% sales tax was added to their bill. Amy paid the bill with a $10 gift certificate plus $30.60. How much did the family's dinner cost before tax? Round your answer to the nearest penny.

Answers

Answer:

The bill was $36.95 without tax.

The price before tax was the amount of $37.25 which is before a 9% sales tax was added to their bill.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Their bill was charged a 9% sales tax.

Amy paid the bill with a $10 gift certificate plus $30.60

Use the equation P + rP =T,

where P is the price before tax, r is the sales tax rate, and T is the total price, including tax.

The price before tax (P) is unknown.

The total price(T) = 30.60 + 10 = 40.60

The sales tax rate (r) = 9% = 9/100 = 0.09

⇒ P + rP = T

Substitute the values in the above equation, and we get

⇒ P + (0.09)P = 40.60

⇒ P(1 + 0.09) = 40.60

⇒ P(1.09) = 40.60

⇒ P = 30.60/(1.09)

Apply the Division operation, and we get

⇒ P = 37.247706

Rounded to the nearest hundredth

⇒ P = 37.25

Therefore, the price before tax was the amount of $37.25.

Learn more about Arithmetic operations here:

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Practice
w
MULTIPLE CHOICE
John is 4 years older than Ben. If John is 12, what is Ben's age?

Answers

I think Ben’s age is 8
8 ,if john is 12 and 4 years older then it would be 12-4 which equals 8

* This is the correct answer, I have taken the test and am posting the answers in hopes of helping other people :] *

What is the value of y?

Triangle A B C has right angle C with side A C labeled 5. Angle A is 60 degrees and its opposite side B C is labeled y.

Enter your answer, as an exact value, in the box.

y =

Answers

Answer:

OMG THANK YOU-

determine if the following is a function or not
-4,8
-2,8
0,24
4,24
2,16

Answers

Answer:

I think that is a function

Step-by-step explanation:

Yes, that is a function. Since each x value only maps to one y value, it passes the vertical line test and is a function.

A and b are positive integers and a-b=2 ... Evaluate the following:
27^1/3 b / 9^1/2 a
There is an image attached of the problem

Answers

Answer:

Step-by-step explanation:

a-b=2

[tex]\frac{27^{\frac{1}{3} b} }{9^{\frac{1}{2}a } } \\=\frac{(3^{3}) ^{\frac{1}{3} b} }{(3^{2} )^{\frac{1}{2} a} } \\=\frac{3^b}{3^a} \\=3^{b-a} \\=3^{-(-b+a)} \\=3^{-2}\\=\frac{1}{3^2} \\=\frac{1}{9}[/tex]

Please help ASAP !!!!

Answers

Answer:

AB(12, -8)?

Step-by-step explanation:

I think that's it but I haven't done something like this in a hot minute. If it's wrong I'm sorry

PLEASE HELP ASAP WILL GIVE BRAINLIEST
The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.
How many hats did the knitter who sold 8 scarves sell?
A. 6
B. 5
C. 3
D. 1

Answers

Answer:

C- 3

Step-by-step explanation:

Find the value of x. Explain your reasoning. (5x − 12) + (x + 6) = because the consecutive angles of a parallelogram are . Solving for x gives x =

Answers

Answer:

x=1

Step-by-step explanation: Snap Add?

I don't know what this means:

"because the consecutive angles of a parallelogram are . Solving for x gives x ="

I know that (5x-12) + (x+6)

1. 5x-12+x+6=0

2.6x-6=0

3.6x=6

4.x=1

what is the distance between -3,500 and 2,000 feet

Answers

Answer: if you take 2,000- (-3,500) you get 5,500 ft, making this the distance. Also, think about it this way 2,000 is 2,000 ft from 0, and then there is another 3,500 past zero, putting these together makes the amount of space they are away from each other in total.

Note that when subtracting a negative it becomes positive, using the keep change change rule 2,000 - (-3,500) becomes 2,000 + 3,500

Please help me I don’t understand

Answers

A. I hope this is right sey if it ain’t

Answer:

C

Step-by-step explanation:

tan α=opposite side /adjacent side

tan P=16/12=4/3

tanQ=12/16=3/4

Tyler invested $350 in an account paying an interest rate of 4.5% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest tenth of a year, for the value of the account to reach $700?

Answers

Answer:

15.4 I did this on delta math

It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

How to calculate compounding time?

The formula for calculating the future value (FV) of an investment with continuous compounding is:

[tex]FV = Pe^{rt}[/tex]

Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).

In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:

[tex]700 = 350e^{0.045t}[/tex]

Dividing both sides by $350, we get:

[tex]2 = e^{0.045t}[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(2) = ln\times e^{0.045t}[/tex]

Using the properties of logarithms, we can simplify this to:

ln(2) = 0.045t ln(e)

Since ln(e) = 1, we can simplify further to:

ln(2) = 0.045t

Finally, solving for t, we get:

t = ln(2) / 0.045 ≈ 15.4

Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

To know more about continuous compounding follow

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Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 40 cards left. How many cards did Keith
start with?

Answers

Answer:

85 cards

Step-by-step explanation:

2 ways the akkadian and assyria empire are the same​

Answers

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation:

Taylor climbed a tree and is sitting on one of the branches deciding if she wants to jump. She weighs 45 kilogram and is sitting 10 meters from the ground. What is her potential energy?

Answers

Answer:

Her potential energy is approximately 4481 J.

Step-by-step explanation:

Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.

I really need help with these, if you know any it would help so much

1 - 53 is 45% of what number?
2 - if you got scored 20 out of 24 what percentage would that be?
3 - 80 is 55% of what number?

Answers

Answer:

1: 23.85

2: 83%

3: 44

Step-by-step explanation:

1 - do 53x0.45 (23.85)

2 - Divide 20 by 24, which you get 0.833333333 and move the decimal 2x to the right. You get 83.3333333, but round. So 83%

3 - do 80x0.55 (44)

Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

Answers

Answer:

Total fringe needed = 132 inches

Step-by-step explanation:

P.S - The exact question is -

Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

To find - How much fringe does Alejandra need?

Proof -

Total fringe needed = Perimeter of the rectangle.

Now,

We know that,

Perimeter of the Rectangle = 2(Length + Width)

Now,

Given that,

Length = 44 inches

Width = one half the length

          = [tex]\frac{1}{2}[/tex] × 44 = 22 inches

⇒Width = 22 inches

∴ we get

Perimeter of the Rectangle = 2(44 + 22)

                                             = 2(66) = 132 inches

⇒Perimeter of Rectangle = 132 inches

∴ we get

Total fringe needed = Perimeter of the rectangle = 132 inches

⇒Total fringe needed = 132 inches

You are a packer for Acme Bottling Company.

You fill cartons with bottles,
seal the cartons, and stack them on pallets.

Monday through Friday you are paid $0.78 for each carton you fill.

On Saturday you are paid an additional$0.38 for each carton you fill.

What is your total pay for a week in which you
filled the following number of cartons?

Mon-210
Tues-175
Wed-224
Thurs-160
Fri-216
Sat-90

Answers

Answer:

$872.70

Step-by-step explanation:

Add all numbers from Mon-Fri.

So 985.

Multiply it by 0.78

So $768.30

Add 0.78 and 0.38

So 1.16

Then multiply 90 by 1.16

So $104.40

Then add the two numbers.

768.30+104.40

So $872.70

Hope this helps

Find the future amount at the end of two years for a $7000 investment that earns 7% at the end of each year

Answers

Answer:

$8,014.30

Step-by-step explanation:

What's the y intercept and slope?

Answers

Answer:

The slope is 4

The y-intercept is 3 OR (0, 3)

Step-by-step explanation:

Points on the graph: ( -1, -1) and (0,3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+1)/(0+1)

m=4/1

m = 4

Point slope-intercept:

y - y1 = m(x - x1)

y + 1 = 4(x + 1)

y + 1 = 4x + 4

y = 4x + 3

HELP ASAP PLAESE HELPP

Answers

Answer:

Ur right it's C.448

Step-by-step explanation:

I did it on goo.gle lol

hope this helps luv

Show that (16 1/4)3 and (16 3)1/4 are equivalent

Answers

Answer:

They are both 12

Change 16 1/4 into 4.

4 • 3

12

16 • 3 is 48

1/4 of 48 is 12

Hope this helps

x

3
4
=
8
Which value of
x
satisfies this equation?

Answers

. the answer is x=42

wich mathematical expression represent this statement?the sqaure of a number times 3

1. 7n
2. 3n^2
3.2n + 8
4. n^3/ 2​

Answers

Answer:

2

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

Find the slope and this line.

Answers

the slope is 2/6 or simplified would be 1/3
answer : 1/3
step by step

1A) Quad ABCD is inscribed in the circle. Find x. *
1B) Using your answer from above, what is angle A? *
103
77
90
25

Answers

Answer:

∠A = 77°

Step-by-step explanation:

Given:

Inscribe quadrilateral

Opposite angles

∠A = (2x + 9)°

∠B = (3x + 1)°

Find:

Value of ∠A

Computation:

We know that in Inscribe quadrilateral sum of Opposite angles are 180

So,

(2x + 9)° + (3x + 1)° = 180°

5x + 10 = 180

x = 34°

So,

∠A = (2x + 9)°

∠A = 2(34) + 9°

∠A = 77°

Factor Completely
5xz + 2xy - 3yz​

Answers

Answer:

Your answer is 5xz + 2xy - 3yz

Step-by-step explanation:

The expression is not factorable with rational numbers.

Therefore, You cannot factor the equation.

~Hoped this helped!~

~Brainiliest, please~

Please can someone help I don’t understand the question if it’s right I’ll give more plsssssesssssssssssddsd

Answers

Answer:

x = 33°

Step-by-step explanation:

From the figure attached,

FB and FC are two secants intersecting each other at point F outside the circle.

Measure of angles between the secants measures half of the difference between the intercepted arcs.

x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]

x° = [tex]\frac{1}{2}(108-42)[/tex]

x = 33°

A person in an apartment
building sights the top and bottom of an office
building 500 ft. away. The angle of elevation
for the top of the office building is 23° and the
angle of depression for the base of the building
is 50º. How tall is the office building?

Answers

Answer:

Step-by-step explanation:

tan23=h1/500

h1=500tan23

tan50=h2/500

h2=500tan50

The height of the building is h1+h2 so

H=500(tan23+tan50)ft (exact)

H=808.1 ft (rounded to nearest tenth of a foot)

A train leaves at 08:36 and arrives at 10:57. It travelled at an average speed of 85 km/h.
How far did it travel? Give your answer in km to 1DP.

Answers

Answer:

199.8 km to the 1 decimal point

Step-by-step explanation:

8:36 to 9:00 is 24 min

9:00 to 10:00 is 60 min

10:00 to 10:57 is 57 min

That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.

d = rt = 141/60(85) = 199.8 km to the 1 decimal point

Dilate Point B by a scale factor of 1/2
a (1.5,-4)
b (-1.5,1)
c (-1,-1.5)
d (-2,-2)
PLEASE HELP

Answers

Answer:

B

Step-by-step explanation:

Divide each coordinate by 2

3/2=1.5

2/2=1

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