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?

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

This is known as a five number summary.

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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.

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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

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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.

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

Answer:

a: 7

b:80

c: x-1^2-9=y

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

Answer:$450 i think?

Step-by-step explanation:

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

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

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]

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

Answer:

acute triangle

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Yes, because the population values appear to be normally distributed

Answer:

320 is the answer

Step-by-step explanation:

8x40=320

Answer:

Which answer do you need

Step-by-step explanation:

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."

Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

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 .

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.

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.

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

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

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

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.

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

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

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.

Answer:

15 bc its when you subtract both numbers than dived

Step-by-step explanation:

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