If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?

Answers

Answer 1

Answer:

36 inches

Step-by-step explanation:

From the diagram attached,

Applying

s = 2πr∅/360

Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.

make r the subject of the equation

r = 360s/2π∅................... Equation 2

From the question,

Given: s = 72 inches, ∅ = 2 radians = 114.6°

Constant: 3.14

Substitute these values into equation 2

r = (360×72)/(114.6×3.14×2)

r = 25920/719.688

r = 36 inches

If The Ray ML Makes An Angle Measuring 2 Radians With The Ray MN, And The Length Of The Arc Intercepted

Related Questions

Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?) She mixes 8 cups of water with 2 cups of vinegar. If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add? (**There are 16 cups in a gallon)

Answers

Answer:

To make a gallons,

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

Step-by-step explanation:

Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)

She mixes 8 cups of water with 2 cups of vinegar.

Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups

If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?

Note that: There are 16 cups in a gallon

Hence:

For number of cups of water:

10 cups of cleaning mixture = 8 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 8

x = 16 × 8/10

x = 12 8/10 cups of water or 12.8 cups of water

For the number of cups of vinegar

10 cups of cleaning mixture = 2 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 2

x = 16 × 2/10

x = 3 1/5 cups of water or 3.2 cups of vinegar

Therefore, to make a gallon

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 9, 5, 2, 7, 1, 14, 3, 5, 6. Find the median of the data.

Answers

The answer is 5.5 because you have to put all of the numbers in numerical order 1 2 3 5 5 6 7 9 9 14 then find the two middle numbers and add them and you get 11. Divide 11 by two and get 5.5.

Find the distance between ( – 5,2) and (7, – 7).


Answers

Answer:

15 bc its when you subtract both numbers than dived

Step-by-step explanation:

The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?

an obtuse triangle
a right triangle
an acute triangle
an equilateral triangle

Answers

Answer:

acute triangle

Step-by-step explanation:

Answer:
acute triangle

Find the indicated side. Round to the nearest tenth if necessary.

Answers

27. You can use a app on the computer called the length calculator

its about quartiles
No links

Answers

Answer: See the attached image for the answers. I've arranged the tiles in the proper order.

minimum = 2lower quartile  = 4second quartile = 8upper quartile =  19maximum = 21

This is known as a five number summary.

=========================================================

Explanation:

The first thing to do is to sort the numbers from smallest to largest

You should get this set {2, 4, 7, 8, 16, 19, 21}

The middle most value is 8. So this is the median or the second quartile.

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

Split the data set into two lists like so

L = {2,4,7}

U = {16,19,21}

Everything in set L represents the lower set of values smaller than the median. Set U represents the upper set of values larger than the median.

Find the median of sets L and U to get 4 and 19 respectively. These represent the values of Q1 and Q3

Q1 = first quartile = lower quartile = 4

Q3 = third quartile = upper quartile = 19

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

As you can probably guess, the min and max are the smallest and largest values of the set. We can see that min = 2 and max = 21.

Find the sum of the first 40 terms of the arithmetic sequence: 16,24,32,40

Answers

Answer:

320 is the answer

Step-by-step explanation:

8x40=320

Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.

Answers

Answer:$450 i think?

Step-by-step explanation:

hey! i’ll give brainliest please help

Answers

Answer:

It would be "a sentence that includes two independent clauses connected by a conjunction" which is Choice B.

Choice A wouldn't work as there needs to be two or more independent clauses for it to be a Compound Sentence.

Choice B would work, as it follows the definition of a Compound Sentence.

Choice C wouldn't work, that would be a Complex Sentence

Choice D wouldn't, that would be a Simple Sentence.

Also, note that this question is something for the Language Arts section.

Answer:

B. A sentence that includes two independent clauses connected by a conjunction.

Step-by-step explanation:

Compound sentences can make your writing very rich as you can connect two distinct independent clauses (no dependent clauses) using coordinating conjunctions such as for, and, nor etc (FANBOYS).

Example would be:

Juan likes to hunt, and he is going hunting on Sunday.

"Juan likes to hunt" is an independent clause where "Juan" is the subject, "likes" is the action, and a complete thought is expressed because we know what he likes to do now.

"He is going hunting on Sunday" is an independent clause where "He" is the subject, "is going" is the action, and a complete thought is expressed as we now know where he is going Sunday and what action he is doing.

The conjunction "and" is used, and a comma is correctly placed before "and."


How to do this???? Pls

Answers

Answer:

a: 7

b:80

c: x-1^2-9=y

Students took a typing test. The number of words per minute students could type are listed below. 40, 47, 25, 32, 48, 55, 33, 56, 32, 47, 32 What is the median number of words per minute the students could type?

Answers

Answer:

50

Step-by-step explanation:

The median number is known as the middles number

The first step is to rearrange the set of numbers starting from the lowest

25, 32, 32, 32, 33, 40, 47, 47, 48, 55, 56

Hence the middle number is 50

Each of 100 people receives a random item from a grocery store and assigns it a value between 1 (low) and 10 (high). They trade those items among themselves for items they prefer rather than those they randomly received and then assign a second value (again, 1 to 10) to the item that they end up with after the trading concludes. How would the sum of those values before trading compare with the sum after trading

Answers

Answer:

The answer is "After trading, the value would be higher because preferences are diverse".

Step-by-step explanation:

Every person receives a resulting in the possibility from either a grocery shop and gives a value of from 1 to 10. (high). Participants trade these goods with each other for items that prefer to receive randomly but instead assign a second value to the object that finishes after the trade is concluded (1 to 10 again). Its value would've been higher after trading because the total of those before trading choices is unique compared to an exchange sum.

is .8x+1.5y=-6 a linear function?

Answers

Answer:

Yes, it is a linear function

Step-by-step explanation:

The given equation, .8x + 1.5y = -6, is a linear function.

It is in the format of the linear equation Ax + By = C.

In this equation, 0.8 is A, 1.5 is B, and -6 is C.

So, it is a linear function.

Answer:

yes

Step-by-step explanation:

[tex]0.8 x= 1.5y = -6\\0.8x + 6 = 1.5y\\\frac{0.8}{1.5}x + \frac{6}{1.5} = y\\\\y = \frac{8}{15}x + \frac{60}{15}\\\\y = \frac{8}{15}x + 4[/tex]

Therefore y is an equation of a line with slope 8/15 and y - intercept = 4

Solve the expression for a=12, b=6 and c=3
Look at the picture will give Brainlist !

Answers

Answer:

a=1 c=3 b=3

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ {a}^{2} - bc}{b} = \frac{ {12}^{2} - 6 \times 3}{6} = \frac{144 - 18}{6} = \frac{126}{6} = 21[/tex]

PLS HELP 6TH GRADE PLEASE

Answers

Answer:

6 x 5 x 1/2(divide by 2) = 15, 15 x 2(two triangles) = 30

27 x 6 = 162 (area of base)

27(width) x 6(height) x 2(two rectangles on both slanted sides) = 324

Add given areas:

30 + 162 + 324 = 516 ft2 is your answer.

Find the next 3 terms of the following sequence -4,-9,-14


Find the next 3 terms of the following sequence 3,12,48

Answers

Answer:

-19,-24,-29

192,768,3072

Step-by-step explanation:

for the first equation its going down by 5

for the second its multiplying by 4 everytime


An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,

Answers

Answer:

$104850

Step-by-step explanation:

Given data

Principal=  $45,000

Time = 13 years

Rate= 6.75%

the compound interest expression is

A= P(1+r)^t

A=45000(1+0.0675)^13

A= 45000(1.0675)^13

A= 45000*2.33

A= $104850

Hence the final amount will be $104850

-3x+10=21 solve for x

Answers

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

Esther is getting balloons for her father's birthday party. She wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Esther wants to get 65 balloons, how many yards of string will she need? 1 foot = 1 3 yard

Answers

Answer: She needs 130 of string .

Step-by-step explanation:

Given: Length of each ballon string = 6 feet

Total number of ballons = 65

Total string required = ( Length of each ballon string) x (Total number of ballons)

= 6 x 65

= 390 feet

Since 1 foot = [tex]\frac 13[/tex] yard

So, [tex]390\ feet = 390\times\frac13\ yards[/tex]

= 130 yards

Hence, She needs 130 of string .

18 * 3 represents one way that some cans are placed in equal groups on shelves

Answers

Answer:okay I think you might have to multiply

Step-by-step explanation:

It says cans are places in equal groups so if you do 18 x 3 you get 54

pliss answer and give evidence

Answers

Answer:

8(4m + 1) --> 32m + 8

5(5 + x) --> 25 + 5x

Step-by-step explanation:

8(4m + 1)

8 x 4m = 32m

8 x 1 = 8

32m + 8

5(5 + x)

5 x 5 = 25

5(x) = 5x

25 + 5x

Please do this for me I’m having a very hard time and failing math because of this!

Answers

Answer:

Which answer do you need

Step-by-step explanation:

Cherry pies cost $12 each. Apple pies cost $9 each. You sold 20 pies and brought in $198. How many apple pies did you sell? How many cherry pies did you sell?

Answers

Answer:

You sold 6 cherry pies and 14 apple pies.

Step-by-step explanation:

It's a system of equations problem.

12C + 9A = 198

A + C = 20

A = 20 - C

12C + 9(20 - C) = 198

12C + 180 - 9C = 198

3C + 180 = 198

3C = 18

C = 6

A + 6 = 20

A = 14

Answer:

Cherry Pie=$12 per 1

Apple pie= $9 per 1

Let x represent number of Cherry Pies sold.

let y represent number of Apple pie sold

x + y = 20---------------1

12x + 9y = 198---------2

From eqn 1

x=20-y

Substitute into eqn 2

12x + 9y = 198

12(20-y) + 9y=198

240 - 12y + 9y = 198

240 - 3y =198

3y = 240 - 198

3y=42

y=14.

x + y =20

x + 14=20

x=20-14

x=6.

So...

Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES

What is the area of the shape

Answers

The answer would be A-72cm^2
a-72cm^2 i believe. if i’m wrong don’t be mad at me. be mad at your teacher. mark me branliest

What’s the answer of B? Help me please. It’s due in 28 mins :((

Answers

Answer:

43.9

Step-by-step explanation:

So this is as long as ____ so I'm not going to write the steps.

If it requires them, then I will.

Add everything together:

Gives you 1317.

Divide it by the number of objects:

30

1317/30=43.9

I NEED HELP ON THIS PLS I WILL MARK BRAINLIEST

Answers

Answer:

56.5

Step-by-step explanation:

To find the perimeter of circle (circumference), we multiply Pi and our radius (half the length across the circle) and then multiply that by 2. perimeter = 2 · π · r

Multiply 18x2 to get 36. Multiply that by pi to get 56.54866776 ( just round to nearest tenth for simplicty ;) ) Therefore, our answer is 56.5

The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on this information alone, can the same will be used to make inferences about the population?

Answers

Answer: C

Step-by-step explanation:

Yes, because the population values appear to be normally distributed

This is the question I am gonna write it here pls help Yum-Yum restaurant has just increased the wages they pay their employees. To help afford this,Yum-Yum-Yum must mark up their meals by 12%. If the meal cost 7.99, how much will as meal cost after the markup ​

Answers

Answer:

8.95

Step-by-step explanation:

Convert 12% into a decimal by dividing 12 by 100 to get 0.12. To find 12% of 7.99, multiply it by 0.12. However, since we want to know the total cost of the meal after the markup, an eaiser way is to multiply 7.99 x 1.12 (the 1 represents the original price of meal, since we are adding on to it). This is the more effective way to solve this, but another way would just be to take the result of 7.99 x 0.12 and add it to 7.99.

Note that the actual answer is 8.9488, but I rounded to the nearest hundreth.

Help please it would do me much help if you do

Answers

Answer: 1056 in.³

Step-by-step explanation: The formula for finding the volume of a rectangular prism is V = L × W × H. (Volume equals Length times width times height.) 11 × 4 × 4 = 176. To find the volume of all the rectangular prisms, you multiply the volume of one of the prisms by 6 because there are 6 prisms shown. The total volume of the shape is 1056  in³.

I hope this helps, have a nice day.

if f(x)=4x+5 what is the value of f(-3)

Answers

Answer:

-7

Step-by-step explanation:

f(x)=4x+5

Let x =-3

f(-3)=4*-3+5

Multiply

f(-3)=-12+5

Add

f(-3) = -7

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