MATHEMATICS HIGH SCHOOL

Jackie scored 82 and 88 on her first two quizzes. Write and solve a compound inequality to find possible values for a third quiz score that would give her an average between 80 and 85, inclusive.a. 80 <= 82 + 88 + n / 3 <= 85; 70 <= n <= 85

b. 70 <= 82 + 88 + n / 3 <= 85; 80 <= n <= 85

c. 80 <= 82 + 88 + n / 3 < 85; 70 < n < 85

d. 82 <= 80 + 85 + n / 3 <= 88; 70 <= n <= 85

Answers

Answer 1

Answer:

Answer : option A

Jackie scored 82 and 88 on her first two quizzes

Let n be the score of third quiz

Average of 3 quiz = $(82+88+n)/(3)$

average between 80 and 85, inclusive.

so average lies between 80 and 85

Question says 80 and 85 inclusive. so we use <= or >= symbol

So inequality becomes

$80<= (82+88+n)/(3) <= 85$

$80<= (170+n)/(3) <= 85$ ( multiply all sides by 3)

$240<=170+n<= 255$ (subtract all sides by 170)

$70<=+n<= 85$

so option A is correct

Answer 2

Answer: the answer is a . first you can understand that b and d can not be the answers because the question says that hey score should be between 80 and 85 so between a and c the answer is a :)))
i hope this is helpful

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Find the exact value of cos(135) and sin(135).

Answers

To find the exact value of cos(135), you need the following formula: cos(a+b) = cos a • cos b - sin a • sin b So in this case, it would be: cos (135) = cos ( 45 + 90) = cos 45 • cos 90 - sin 45 • sin 90 = √(2)/2 · 0 - √(2)/2 · 1 = 0 - (√2)/2 = - (√2)/2.

To find the exact value of sin(135), you need the following formula: sin (a+b) = sin a • cos b - cos a + sin b So in this case, it would be sin (135) = sin (90 + 45) = sin 90 • cos 45 + cos 90 • sin 45 = (1 ·(√2)/2) + (0 · (√2)/2) = (√2)/2).

cos (135)= - (√2)/2

sin (135) = (√2)/2

Final answer:

To find the exact value of cos(135) and sin(135), use the unit circle and refer to the special angles. Cos(135) is equal to -1/sqrt(2) or approximately -0.7071, while sin(135) is equal to 1/sqrt(2) or approximately 0.7071.

Explanation:

The cosine function and sine function are both trigonometric functions that are commonly used in mathematics. The cosine function gives us the ratio of the adjacent side to the hypotenuse in a right triangle, while the sine function gives us the ratio of the opposite side to the hypotenuse. To find the exact value of cos(135) and sin(135), we need to use the unit circle and refer to the special angles.

For cos(135), we can determine that 135 degrees lies in the second quadrant of the unit circle. The reference angle for 135 degrees is 45 degrees. Since 45 degrees is a special angle, we know that cos(45) = 1/sqrt(2) or approximately 0.7071. Since cos is negative in the second quadrant, cos(135) = -1/sqrt(2) or approximately -0.7071.

For sin(135), the same process applies. The reference angle for 135 degrees is 45 degrees, and sin(45) = 1/sqrt(2) or approximately 0.7071. Since sin is positive in the second quadrant, sin(135) = 1/sqrt(2) or approximately 0.7071.

Learn more about Trigonometric functions here:

brainly.com/question/31540769

Solve this equation

Answers

i think your answer would be -4

so im trying to help my little brother with his home work an i suck at math so can anyone tell me what 5/9X54

Answers

First do 5 divided by 9. Then 0.56 times 54. Your answer is 30. Have a great day!

So, in this problem, its basically multiplying a whole number with a fraction. So what you do is.... multiply 54 by 5 and you get 120. Then, you do 54 multiplied by 9 and get 486. Then, you will have 120/486! That will be your answer to this problem.

What is the angle supplementary to the angle measuring 165°12′?A. 75°12′
B. 180′
C. 14°48′
D. 60′

Answers

Two angles are supplementary if their sum is 180 degrees. One degree is made up of 60 minutes. So the angle supplementary to an angle measuring 165d12m is 180d - 165d12m, which gives us 14d48m. So the answer is C.

Answer:

Option C is correct.

$14^(\circ)48'$ is the angle supplementary to the angle measuring $165^(\circ)12'$