MATHEMATICS HIGH SCHOOL

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true? Check all that apply.

Answers

Answer 1

Answer:

Answer:

The length of segment XY can be found by solving for a in

$20^2-7.65^2=a^2$

The measure of the central angle $\angle ZXW$ is $45\degree$ .

Step-by-step explanation:

If the regular octagon has a perimeter of 122.4cm, then each side is $(122.4)/(8)=15.3cm$

The measure of each central angle is $(360\degree)/(8)=45\degree$

The angle between the apothem and the radius is $(45)/(2)=22.5\degree$

The segment XY=a is the height of the right isosceles triangle.

We can use the Pythagoras Theorem with right triangle XYZ to get:

$a^2+7.65^2=20^2$

$a^2=20^2-7.65^2$

Therefore, the correct options are:

The length of segment XY can be found by solving for a in

$20^2-7.65^2=a^2$

The measure of the central angle $\angle ZXW$ is $45\degree$ .

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4 is what percent of 20
Two lines are perpendicular, and neither line is horizontal. Which of the following is not necessarily true of the lines?A. The slopes of the two lines are opposite reciprocals. B. One line must have a positive slope. C. The y-intercepts are the same. D. One line must have a negative slope.

Have you ever worked with variables? Algebra is a branch of mathematics that specifically deals with the idea of using variables to solve problems. What kinds of problems have you already solved using variables? Do you know any real-life applications for variables?Think about the numbers you encounter in the world around you. Do you understand what they really mean? Interactions at grocery stores, gas stations, and online shopping commonly involve numbers. These interactions can be better understood using algebra. Is there anything you don’t know involving numbers that you wish you better understood?

Answers

Answer:

Well, I think we all worked with variables, but don't realise about it, because when people see these terms ''variable'', ''algebra'', they freak out.

The reality is that variables are everywhere, they are all those stuff that can variate: weigh, highness, money, population, interests, and so on.

A common problem I solved using variables is measuring time. For example, when I'm going to school I tend to calculate the time of my way.

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The Jack In The Box franchise in Bangor, Maine, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.0.58
0.48
0.45
0.68

Answers

Answer: 0.48

Step-by-step explanation:

Given : The probability that a customer will order a hamburger P(H)= 0.60.

The probability that a customer will order french fries P(F)= 0.50.

The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.

Using conditional probability formula , for any event A (first event) and B (second event), we have:-

$P(B|A)=(P(A\cap B))/(P(A))\n\n\Rightarrow\ P(A\cap B)=P(A)*P(B|A)$

Similarly, the probability that the order will include a hamburger and fries :-

$P(H\cap F)=P(H)* P(F|H)\n\n=0.60*0.80\n\n=0.48$

Hence, the probability that the order will include a hamburger and fries=0.48

Create two different situations: one in which you use combinations and one in which you use permutations. Include specific details and an explanation about what makes each situation either a combination or permutation.

Answers

Combination:

Choose two out of three different colors of paints a color

Answer: 3x2/2 = 3 different colors

If the colors are a, b and c, the different combinations are:

ab = ba
ac = ca
bc= cb.

Permutation

Choose two out of three rectangular pieces of fabrics,each of different solid colors, to make flags with horizontal colors.

3x2 = 6.

If the colors are a, b, c the permutations are

ab
ba (they are different because the fabrics are in different positions)

ac
ca

bc
cb

Total: 6 different flags with two colors out of three available.

The first situation is a combination because the order in which you use the colors make no difference. The second one is permutation because the order makes a difference.

Jay is cutting a roll of biscuit dough into slices that are 3/8 inch thick. If the roll is 101/2 inches long, how many slices can he cut?

Answers

The roll of the biscuit is 101/2 inches long. It has to be cut into slices that are 3/8 inches thick.
Then
The number of slices = (101/2)/(3/8)
   = (101/2) * (8/3)
   = 808/6
   = 404/3
   = 134.66
So the biscuit dough can be cut into 134 slices approximately. A small part will be left.This is the only way to find out the number of slices thebiscuit dough can be sliced into. Hope this helps you in understanding the wayit is done.

Solve x2 + 4x − 12 = 0.A: x = 2, x = −6
B: x = −2, x = −6
C: x = 3, x = −4
D: x = −3, x = 4

Answers

x^2 + 4x - 12 = 0
(x + 6)(x - 2) = 0

x + 6 = 0 x - 2 = 0
x = -6 x = 2

Answer A: x = 2; x = -6

Answer:

x = - 6; x = 2

Step-by-step explanation:

Two employees claimed to work for the same company. One said that the mean salary at the company was $109,000. The other said that the median salary was $52,000. Which statement is true?A.
They could not possibly work for the same company.

B.
If they did work for the same company, one of them must have received incorrect information.

C.
They could be correct because the mean can be affected by a few very high salaries whereas the median remains in the middle.

D.
They could be correct because the mean is always higher than the median.

Answers

Mean: 109,000
Median: 52,000

C.
They could be correct because the mean can be affected by a few very high salaries whereas the median remains in the middle.

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