MATHEMATICS HIGH SCHOOL

The measures of complementary angles have a sum of 90 degrees. Angle A and angle B are complementary, and their measures have a difference of 20°. What are the measures of the angles?

Answers

Answer 1
Answer: It is so easy.
we have the sum is 90 and the difference is 20.
So the greater angle is (90+20) :2=55
and the smaller is 35

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MIDDLE SCHOOL

What is the exact volume of a cylinder that has a height of 1.8 ft and a radius of 6.1 ft? _____π ft³

Answers

Cylinder area=height times area of base (area of base=area of circle)

height =1.8
radius=6.1
area of circle=pi times r^2


area of circle=pi times 6.1^2=37.21π
times height

1.8 times 37.21π=66.978π

volume=66.978π ft^3
HIGH SCHOOL

For the values a = 8 which is a leg of a right triangle, and value c = 19, which is the hypotenuse, find the length of the other leg, b, to the nearest tenth. A. 17.7
B. 20.6
C. 17.2
D. 20.3

Answers

Hey!

We will have to use the Pythagorean Theorem to solve this. Since we are not looking for the hypotenuse, but rather the length of one of the legs, we will have to use this,

Let's plug in the values,

Simplify,

Since we know that the opposite of a square is the square root, we are going to apply it.

This tells us that the length of the missing leg would be,
b ≈ 17.2336879396
If we round it to the nearest tenth, our answer would be,
b ≈ 17.2 (answer choice C)

Thanks!
-TetraFish

HIGH SCHOOL

The physics department of a college has 8 male professors, 11 female professors, 16 male teaching assistants, and 6 female teaching assistants. if a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female.

Answers

The probability that the selected person is a teaching assistant or a female will be 80%.

What is probability?

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.

6 + 16 + 11 = 33

Total = 41

33/41 = 0.80 x 100

33/41 = 80%

Therefore, the probability that the selected person is a teaching assistant or a female will be 80%.

To know more about probability follow

brainly.com/question/24756209

#SPJ5

To determine the probability that one or the other circumstances will occur, you will count the number of possible outcomes and divide it by all the possible outcomes.

#of female teaching assistants + # of male teaching assistants + # of female professors

6 + 16 + 11 = 33

Total = 41

33/41 = 80

There is a approximate 80% probability that one or the other will occur.
HIGH SCHOOL

*PLEASE HELP* Write the composed trigonometric function: sin(arctan x) in terms of x. Please show work. I will give brainliest answer

Answers

Use the formula . From the previous formula and  since you'll have
.
Since , you obtain that .
Answer:
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