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3 years ago

Ou want to get an oil change every 4,000 miles. How many oil changes do you get in a year driving 1000 miles a month?

1 answer:

5 0

3.

1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year

Oil change every 4000 miles.
12000 ÷ 4000 = 3

Therefore 3 oil changes per year.

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Question in attachment

Lerok [7]

Answer:

$cos(x)=-\frac{\sqrt{3} }{2}$

$sin(x)=\frac{1}{2}$

$tan(x)=-\frac{1}{\sqrt{3} }$

$csc(x)=2$

$sec(x)=-\frac{2}{\sqrt{3}}$

$cot(x)=-\sqrt{3}$

Step-by-step explanation:

(I'll just use x for ease of writing)

We have the trig equation $cos(x)=-\frac{\sqrt{3} }{2}$ , and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is $\frac{5\pi}{6}$ which has an ordered pair of $(-\frac{\sqrt{3} }{2},\frac{1}{2} )$

$sin(x)=y$ , so $sin(x)=\frac{1}{2}$

$tan(x)=\frac{y}{x}$ , so $tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }$

Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.

$csc(x)=\frac{1}{sin(x)}$ , so $csc(x)=2$

$sec(x)=\frac{1}{cos(x)}$ , so $sec(x)=-\frac{2}{\sqrt{3}}$

$cot(x)=\frac{1}{tan(x)}$ , so $cot(x)=-\sqrt{3}$

7 0

3 years ago

Read 2 more answers

The value of 2 in 2,783 is how many times the value of 2 in 7,283?

sladkih [1.3K]

The 2 Is at the Thousands Place for 2,783
Also the 2 is in the Hundreds place for 7,283
I hope this helps

5 0

3 years ago

Read 2 more answers

A group of seventh and eighth graders were asked whether they prefer reading fiction or nonfiction.

zloy xaker [14]

7th graders prefer fiction is 0.75 = 75%
8th graders prefer fiction is 0.68 = 68%
7th graders is greater than 8 graders

answer
<span>A. greater than</span>

7 0

3 years ago

Read 2 more answers

How do you simply a fraction

padilas [110]

Answer:

Step-by-step explanation:

Depending on what type of fraction you're trying to simplify there are different ways.

One subtraction example would be:

6-3/7-4 you minus the numerator and denominator to get 3/3 since we have 3 on both top and bottom our simplified answer would be 1

4 0

3 years ago

Read 2 more answers

Which is an equation in point slope form of the line that passes through the points (7, 5) and (-4, -1)

emmasim [6.3K]

Answer:

y = (6/11)x + 13/11

Step-by-step explanation:

y = mx + c

m = (-1-5)/(-4-7) = -6/-11 = 6/11

y = (6/11)x + c

When x = 7, y = 5

5 = (6/11)(7) + c

5 = 42/11 + c

c = 5 - 42/11

c = 13/11

y = (6/11)x + 13/11

11y = 6x + 13

5 0

3 years ago