MATHEMATICS HIGH SCHOOL

Please do 3 & 4 and show work

Answers

Answer 1

Answer:

3. A=B=70°; C=D=110°

4. A=90°; C=48°

Step-by-step explanation:

Same-side angles of a trapezoid add to 180°.

___

3. (2x) +(x+15) = 180

3x + 15 = 180 . . . . simplify

x +5 = 60 . . . . . . . divide by 3

x = 55

A=B=(x+15)° = (55+15)° = 70°

C=D=2x° = 2·55° = 110°

4. You are given the values of one of the angles on each side, so the other can be found by subtraction:

A=180°-D = 90°

C = 180° -132° = 48°

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Nina has 84 stickers. She wants to divide the stickers equally among 5 friends. How many stickers does each friend get? how many stickers are left over?

Answers

As per the concept of unitary method, each friend will get 16 stickers, and there will be 4 stickers left over.

The unitary method is a technique that helps to solve problems related to ratio and proportion. It is based on the concept of "per unit" or "per one". In this problem, we need to find out how many stickers each friend will get if we divide the total number of stickers equally among them. To do this, we can use the unitary method.

Find the total number of stickers divided by the number of friends

To divide the stickers equally among 5 friends, we need to find out how many stickers each friend will get. We can do this by dividing the total number of stickers (84) by the number of friends (5).

84 ÷ 5 = 16 with a remainder of 4

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HELPP!!
Select the correct answer.
What is the value of arcsin ?

Answers

For this case we have that by definition, it is called arcsine (arcsin) from a number to the angle that has that number as its sine.

We must find the $arcsin (\frac {\sqrt {2}} {2})$ . Then, we look for the angle whose sine is $\frac {\sqrt {2}} {2}$ .

We have to, by definition:

$Sin (45) = \frac {\sqrt {2}} {2}$

So, we have to:

$arcsin (\frac {\sqrt {2}} {2}) = 45$

Answer:

Option B

Answer:

Choice B

Step-by-step explanation:

An option is to find the the square root of 2 in decimals is $(1.414213562)/(2) ≈ <strong>0.7071067812</strong>$

Now we can use the arc sine, which is the inverse of a sin.

To do this we must use a scientific calculator. By pressing the arc sin button and entering in 0.7071067812, we can find the arc sin, which is 45°.

What is the percentage multiplier to increase a quantity by 22%? a. 0.22 b. 1.22 c. 22 d. 0.78

Answers

Answer:

b) 1.22

Step-by-step explanation:

22% as a decimal is 0.22. But we want to increase the number, meaning that we have to keep it to start, or multiply it by 1. And then we also multiply by 0.22. Thus multiplying by 1.22.

Final answer:

The percentage multiplier to increase a quantity by 22% is 1.22. You calculate this by adding the percentage increase as a decimal to 1.

Explanation:

The question asks for the percentage multiplier to increase a quantity by 22%. This falls within the domain of mathematics, particularly algebra and critical numeracy skills.

To calculate a percentage increase, you would start with the original amount represented as 1 (or 100%), and then add the percentage increase as a decimal.

So, for a 22% increase, you would add 0.22 to 1, which results in 1.22.

Therefore, the correct answer to the question is b. 1.22.

This multiplier is then applied to the quantity you wish to increase, effectively increasing it by the desired percentage.

Learn more about Percentage Multiplier here:

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When you compute the average monthly income available for a buget, use only the net, or take-home pay.true
false

Answers

True. Cause if you use gross pay you're giving yourself to much and can't make an accurate budget :)

Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?A.Draw a chain of bounces to the right, 12 units wide, starting at –24 and ending at 12. B.Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at –24. C.lDraw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. D.Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.