Given that cos (x) = 1/3, find sin (90 - x)

Answers

Answer 1

Answer: $sin((A - B)) \equiv sin(A)cos(B) - cos(A)sin(B) \n\n\therefore sin((90 - x))\n = sin((90))cos((x)) - cos((90))sin((x)) \n= (1)cos((x)) - (0)sin((x)) \n= cos(x) - 0 \n= cos(x) \n= (1)/(3)$

Answer 2

Answer: $90а= ( \pi )/(2) \n sin(90а-x)=sin (( \pi )/(2)-x)=cos (x) \n cos(x)= (1)/(3) \n sin(x)= (1)/(3) \approx0.33333 \n x=19а$

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Movie tickets now average $9.50, but are increasing 9% each year. Select the appropriate type of function that models the growth of movie tickets over time in years.A. Quadratic
B. Linear
C. Exponential
D. Absolute Value

Answers

Your answer will be Exponential.

You can use this to determine the cost/height rate of the movie price.

Final answer: C

Lorenzo and Nicole survey students about their favorite subject. Lorenzo surveys 24 students. This is 4 times as many as the 6 students that Nicole suverys. Write an equation that represents this situation

Answers

Answer:

y = 4 * x

y is the number of students that Lorenzo surveys,

x is the number of students that Nicole surveys.

Step-by-step explanation:

Lorenzo surveys 24 students, so we can use this value as the left side of our equation.

The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)

The expression that represents this is:

24 = 4 * 6

If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:

y = 4 * x

A 2 by 3 rectangle contains 8 squares. can you see how?

Answers

The number of squares in a 2 by 3 rectangle is 8 by counting squares in the figure. In total, there are 8 squares.

Given that 2 by 3 rectangle contains 8 squares.

To understand why there are 8 squares in a 2 by 3 rectangle, let's break it down. A square can be formed by using any side of the rectangle as its base. In a 2 by 3 rectangle, there are 2 rows and 3 columns. We can consider each row and column as the side length of a square.

Starting with the smaller squares, we have four 1 by 1 square. These squares are formed by taking each cell of the rectangle as a base. Next, we have two 2 by 2 squares, one in the top left and one in the bottom right corner. These squares are formed by taking the top left and bottom right 2 by 2 cells as their bases.

Finally, there are two larger squares that can be formed in a 2 by 3 rectangle. One is a 2 by 3 square that occupies the entire rectangle. The other is a 3 by 3 square, formed by taking the top three cells of the first column and the bottom three cells of the second column as its bases.

So, in total, there are 8 squares that can be formed within a 2 by 3 rectangle.

Learn more about squares and rectangle here:

brainly.com/question/17508193

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Step-by-step explanation:

15 yards to 18 yards

Answers

15:18 simplified is 5:6 yarrds

15 yd/ 18 yd
= 15/18
= (15/3) / (18/3)
= 5/6

The final answer is 5/6~

Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?

Answers

Answer:

$31.63 per hour

Step-by-step explanation:

$31.63 per hour

40 hour weeks × 52 weeks = 2080 hours

65,788/2080= 31.63

hope this helped,brainliest?

Lisa’s school requires each student to earn 75 hours of community service each year. Lisa has already earned 27 hours. She plans to earn the remainder of her hours by volunteering at a nursing home. If Lisa spends 2 hours at the nursing home per visit, which equation represents the number of visits, v, that Lisa will need to make to fulfill her community service requirement?

Answers

Answer:

Step-by-step explanation:

2v+27=75

2v=75 - 27

2v=48

v= 24 visits

So, she needs 24 visits

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