Mathematics, 08.07.2019 08:00 saneayahsimmons

Can someone with the questions in the picture with #22 and both parts of part 23

Answers: 2

Show answers

Answers

Answer from: xaniawashington

#22 is Ian. #23.a. is 77%. b. is Yes. c. is 16.

Answer from: rhucke99121

22. It says the completion percentage is the number of completions divided by the number of passes. You will get a decimal first, then you change it into a percentage by either multiplying it by 100, or moving the decimal point two places to the right.
Tom: 10/22 = 0.45 = 45%
Ian: 9/18 = 0.5 = 50%
Ian has a higher completion percentage.

23. You get 17 out of 22 questions correct.
a) 17/22 = 0.77 = 77%
Your percent is 77.
b) You passed the test because you had 7% above the lowest score to pass.
c) To find the minimum number of correct answers needed to pass the test, replace the correct number of answers with "x" and make it equal to 0.70 because that's what you need to pass.
x/22 = 0.70
x = 15.4
Because you're dealing with a test, so only whole numbers are possible, you need to round that number up, since you can't go down or you will be below the minimum.
15.4 = 16
The minimum number of correct answers you need is 16 (out of 22).

Answer from: Quest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).