An angle measuring (870n)° is in standard position. For which value of n will the terminal side fall along the positive portion of the y-axis?

Answers

Answer 1
Answer: An angle measuring (870n)° is in standard position.The value of n in which the terminal side falls along the positive portion of the y-axis would be 1. This is because the reference angle would fall on the second quadrant, which still denotes a positive portion of the y-axis.
Answer 2
Answer:

Answer: n=3

Step-by-step explanation: took on edg


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A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side. The barn and the side opposite of the barn will both be 10 feet long. One of the other sides will be 6 feet long. What is the length of the last side?

Answers

Answer: 6 feet

Step-by-step explanation:

Given: A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side.

We know that in parallelogram opposite sides are equal.

Since, it is given that the barn and the side opposite of the barn will both be 10 feet long.

Therefore, if one of the other sides will be 6 feet long.

Then, the  length of the last side must be 6 feet long because it is opposite to the 6 feet long side.

The other sides length is 6 feet

Can anyone show me the steps and answer?

Answers

Answer:

  (-∞, 3) ∪ (3, 4) ∪ (4, ∞)

Step-by-step explanation:

Steps:

1. Read and understand the question. Here, you're being asked for the domain of a rational function, one with a 2nd-degree polynomial in the denominator. The domain is the set of x-values for which the function is defined.

2. Understand that the function will be undefined when the denominator is zero, so to answer the question, you must find the values of x that make the denominator zero.

3. Use any of the methods you have been taught to determine the zeros of the denominator polynomial. For this one, it is convenient to factor it:

  x² -7x +12 = (x -3)(x -4)

The values of x that make this zero are 3 and 4, so these values are excluded from the domain.

4. Write an expression in interval notation that includes all real numbers except 3 and 4. That is, you want to translate this to interval notation:

  (-∞ < x < 3) ∪ (3 < x < 4) ∪ (4 < x < ∞)

Using what you know about interval notation, you write it as ...

  (-∞, 3) ∪ (3, 4) ∪ (4, ∞)

What is 6 3/4 of 7,600.00

Answers

Answer:

Step-by-step explanation:

6 3/4 = 27/4

7600 * 27/4 =  205200/4

51300

Which pair of numbers is relatively prime? A.
18 and 45

B.
26 and 91

C.
10 and 33

D.
14 and 63

Answers

The answer is C)

The numbers are relatively prime if there is no common factor that divides both of them apart from 1.  A) isn't answer because 3 is one of common factors. B isn't answer because 13 is common factor. and D isn't answer because 7 is common factor.

Therefore only 10 and 31 have no common factors other than 1

Leah's annual take-home pay is $66,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit overload?A.$1200
B.$1320
C.$1100
D.5250

Answers

The answer is C. 1100

The answer is C. 1100

A pool can be filled to 15,000 gallons of water. It takes 9 gallons per minute to fill the pool. How much minutes does it take to fill the pool?

Answers

Answer:

1666.7 minutes

Step-by-step explanation:

To find out how many minutes it takes to fill the pool, you can use the formula:

Time (minutes) = Total volume / Flow rate

In this case, the total volume of the pool is 15,000 gallons, and the flow rate is 9 gallons per minute.

Time (minutes) = 15,000 gallons / 9 gallons per minute

Time (minutes) = 1,666.67 minutes (rounded to two decimal places)

So, it takes approximately 1,666.67 minutes to fill the pool.