If each interior angle of a regular polygon measures 168º, how many sides does the polygon have?

Answer:

it is 16_3/6

Step-by-step explanation:

basic addition.

Answer:

Step-by-step explanation:

all i know is that it is not the IQR maybe its the MAD but im not sure

Answer:

It's B

Step-by-step explanation:

I took the test and I got it right. No problem :D

Answer:

A: 19:26 B:7:8 C:26:45

Step-by-step explanation:

Question A

First to find the ratio between the boys and girls you would add all of the different groups with boys and girls. This would be done by,

Boys

9+10=19

Girls

12+14=26

Now that you have the total number of boys and girls you make this ratio,

19:26

That is the final answer

Question B

For this it is very similar to the boys to girls ratio. You still add the total on each side and then form a ratio. From before you would start by adding both of the different sides which would be done by,

Fifth Graders

12+9=21

Sixth Graders

14+10=24

Now that you have the total number of both of the different grades you make this ratio,

21:24

You can simplify this by finding the lowest common factor which would be

7:8

Question C

To answer this it is very similar to the first two but instead you will find one group and all of the groups to form the ratio. Now you need to add all of the people in each of the groups.

Girls

12+14=26

All

12+9+14+10=45

Now with the total number of both you will form a ratio

26:45

This is your final answer because you cant simplify this any further

Answer:

The amount the business initially invested in 1991 is approximately;

A. $3,450

Step-by-step explanation:

The question relates to investment and finance

The parameters given are;

The annual interest rate on the business savings account = 3%

The amount the business had in the account at the end of 1996 = $4,000

The given formula used to determine the final amount in the savings account, [tex]F = p \cdot \left(1 + \dfrac{r}{100} \right )^t[/tex]

Where;

F = The final amount

p = The initial (principal) investment

r = The annual interest rate

t = The time in years

Therefore, we have;

The required information = The initial amount, 'p', the business invested in 1991

The time in years, 't', from 1991 to 1996 = 1996 - 1991 = 5

∴ The time in years from 1991 to 1996, t = 5 years

The final amount in 1996, F = $4,000

r = 3%

Plugging in the values in the given equation gives;

[tex]4000 = p\cdot \left(1 + \dfrac{3}{100} \right )^5[/tex]

Therefore;

[tex]p = \dfrac{4000}{\left(1 + \dfrac{3}{100} \right )^5} = 3,450.43513754[/tex]

To the nearest dollar, the initial amount the business invested in 1991, p ≈ $3,450.

8

Step-by-step explanation:

Answer:

the answer is x1 = -4- square root of 23 x2= -4+ square root of 23

Answer:

1/3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

If the volume of a cylinder is 300, the volume of a cone = 1/3 x 300 = 100

the capacity of a cone is 1/3 that of a cylinder

Answer:

B)

Step-by-step explanation:

let 's' = # shirts they can buy

8s + 45 ≤ 325

8s ≤ 280

s ≤ 35

they cannot purchase more than 35 shirts

first set up the equation:

let t = number of t-shirts

8t + 45 [tex]\leq[/tex] 325

solve for t:

subtract 45 from both sides

8t [tex]\leq[/tex] 280

divide both sides by 8

t  [tex]\leq[/tex] 35

looking at the number line:

when placing this onto the numberline, there should be a close circle at 35 and the arrow should be going towards 0 to show that it is less than or equal to 35

answer: B

The answer in the mixed fraction form is  6¹¹/₁₂

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here, 4¹/₆+ 2³/₄ = 25/6 + 11/4

                                    = 50+33 / 12

                                    = 83/12

                                    = 6¹¹/₁₂

Hence the answer in mixed fraction is  6¹¹/₁₂

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Answer: -17x-1

Step-by-step explanation: Hope this help :D

Answer:

-17x-1

Step-by-step explanation:

Answer:

210

please I beg of you if I'm wrong tell me I will try it out again it is just that I've never come across such a question so I just had the idea to try it have a good day.

Answer:

50 units

Step-by-step explanation:

First find the length and width by using distance formula.

QR = Square root of 25 =5

RS = Square root of 100 =10

Area = 10×5 = 50

Answer:

1) 122 2)58

Step-by-step explanation:

Answer:

m1 = 122°

m2 = 58°

Step-by-step explanation:

angle 1 = 122° rule of vertical angles

180° -122° = 58°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

For angle B which is 50 degrees,

hypotenuse = AB =?

Adjacent = BC = 2 units......(given)

cos 50 = adjacent / hypotenuse

0.643 = 2 / AB. .....(as cos 50 = 0.643 approx)

AB * 0.643 = 2

AB = 2 / 0.643

AB = 3.11 units(approx)

Answer:

The angles that are considered vertical, would be those that are directly across from each other. In this case, it would be 1 and 3; and 2 and 4.

I hope this helped!!

Answer:

x = - 1

Step-by-step explanation:

Given

- 5 - 3 (x + 1) = - (- 4x + 1) ← distribute parenthesis on both sides

- 5 - 3x - 3 = 4x - 1

- 3x - 8 = 4x - 1 ( subtract 4x from both sides )

- 7x - 8 = - 1 ( add 8 to both sides )

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Answer:

29.4

Step-by-step explanation:

mC = 180 - 46 - 105 = 29

By Law of Sines: c/sin C = a/sin A

19.8/sin 29° = a / sin 46°

19.8/0.484 = a/0.72

a = 29.45 ≈ 29.4

Answer:

Teresa will have $28,200 if she takes her money out after 8 years.

Step-by-step explanation:

To be able to find the answer, you have to use the formula to calculate the future value:

FV=PV(1+i/n)^(n*t)

FV=future value

PV=present value= $20,000

i=interest rate= 0.043

n=number of compounding periods per time unit= 12

t=time in years= 8

Now, you can replace the values on the formula:

FV=20,000*(1+(0.043/12)^(12*8)

FV=20,000*1.41

FV=28,200

According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.

Answer:

108

I determined my answer by multiplying 4 x 3 x 3 x 3 = 108

Step-by-step explanation:

daughters born in 1950 = 4 x 3 = 12

daughters born in 1980 = 12 x 3 = 36

daughters born in 2010 = 36 x 3 = 108

Answer:  (3,5)

Step-by-step explanation:

Answer:

[tex]$2\frac{1}{4} \ inch$[/tex]

Step-by-step explanation:

We have the four thickest books from the line plot given by

Two books of [tex]$\frac{1}{2}$[/tex] inch thick and the two books of [tex]$\frac{5}{8}$[/tex] inch thickness.

So when the two [tex]$\frac{1}{2}$[/tex] inch thick book is being piled on the top of a [tex]$\frac{5}{8}$[/tex] inch thick books.

Therefore, the total thickness of the pile of books is given by :

[tex]$=2 \times \frac{1}{2}+2 \times \frac{5}{8}$[/tex]

[tex]$=\frac{9}{4}$[/tex]

[tex]$=2\frac{1}{4} \ inch$[/tex]

Therefore, the thickness of the pile is [tex]$2\frac{1}{4} \ inch$[/tex] .

The addition is one of the four fundamental mathematical operations. The thickness of the pile is 4.75 inches.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

As per the given graph, the top four thickest books are:

Therefore, the thickness of the pile is the sum of the thickness of the four books.

[tex]\text{The thickness of pile} = 1\frac18 +1\frac18 + 1\frac14 + 1\frac14\\[/tex]

                                 [tex]= \dfrac98 +\dfrac98 + \dfrac54 + \dfrac54\\\\= 4.75[/tex]

Hence, the thickness of the pile is 4.75 inches.

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Answer:

3x(2)

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Well, first you need to make a proportion which will be [tex]\frac{x}{6,000} = \frac{10}{100}[/tex]

x is what we need to find

6,000 is the total people who voted

10% is the percent of 18 to 29 years old

and 100% represents the circle graph because all circle graphs equal 100%

First, we use the cross multiply method, for instance, 6,000×10=60,000

Next, divide 60,000÷100 which is 600.

Therefore there are 600, 18 to 29 year olds who voted in the election.

Answer:

-20u + 12y + 4

Step-by-step explanation:

We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.

When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :

-4(5u - 3y - 1)

(5u(-4) -3y(-4) -1(-4))

-20u + 12y + 4

Answer: 36

Step-by-step explanation: 36x12=432

432+36=468