Heather has 50 quarters in a jar. She puts 3 more quarters into the jar each

Suppose that cos = 12/13 what is sin what is cos 2

riadik2000 [5.3K]

First, some housekeeping:

cos = 12/13 is incomplete; "cos" must have an argument (input).

cos x = 12/13 is fine; here "cos" has the argument (input) x.

Given that cos x = 12/13, find sin x. To do this, we'll need to find the length of the opposite side, given that the hypo length is 13 and the adj. side length is 12.

12^2 + opp^2 = 13^2, or opp^2 = 169-144 = 25.

Then the opp side could be either 5 or -5. Let's assume that it's +5, and that angle x is in the first quadrant.

Then sin x = opp / hyp = 5/13 (answer)

cos 2 is an entirely different kind of problem. Here you are told what the argument (input) to the cosine function is (it is 2, which here means 2 radians).

Using a calculator: cos 2 = -0.416. Note that the angle 2 rad is in QII, which is why the "adjacent side" is negative and also why the cos of 2 is negative.

8 0

3 years ago

Linda planned to spend 9 hours practicing piano this week. By tuesday,she had spent 2 1/2 hours practising. How much longer does

faust18 [17]

Just subtract 9:00-2:30 so your answer should 6 hours and 30 minutes or 6 1/2 hours

5 0

3 years ago

Aubrey was sorting books for the garage sale. she had 831 books and wanted to put them in 5 equal boxes. how many books would fi

lianna [129]

she would need 166 boxes. there is a remainder of 1. one book wont fit in a box

6 0

3 years ago

Read 2 more answers

HELP I NEED HELP ASAP

pickupchik [31]

Answer:

D

Step-by-step explanation:

Firstly, the question is phrased very very badly as the four answers provided are coordinate points rather than how far apart the cities are in units.

To calculate the distance between two points, we have to use Pythagoras' Theorem as it's just pretty much a right-angle triangle. Please look at the (terribly drawn) image provided.

Keep in mind that these points are only roughly placed on the map.

But firstly, to use Pythagoras' Theorem (a^2 + b^2 = c^2), we must find the length of the two sides.

To find the length of the horizontal line (which from now on I'll refer to as 'a'), we must subtract the smaller x value from the larger one.

47 - 35 = 12

To find the length of the vertical line (which from now on I'll refer to as 'b'), we must subtract the smaller y value from the larger one.

122 - 78 = 44

I assume that the answer you should pick is D. (12, 44)

However, that doesn't exactly answer the question... it's worded a little weirdly.

To solve the rest of the equation, do the following:

Now that we know that the length of a = 12 and the length of b = 44, we can use Pythagoras' Theorem.

a^2 + b^2 = c^2

12^2 + 44^2 = c^2

144 + 1936 = c^2

2080 = c^2

c = $\sqrt{2080}$

c = 45.61

The answer is 45.61 units.

3 0

2 years ago

Suppose that in a large class, the instructor announces that the average grade on an exam is 75. Which is more likely to be clos

Tanya [424]

Answer:

The student's z-score will not change

Explanation:

Z-scores are used to compare results of an individual or entity to the average population's scores.

Since the adjustment of additional points is added to each class member's score, the adjustment will shift the entire distribution of scores. However, there will not be a change in the relative position of the student's score in the class. As a result, the student's z-score will not change.

6 0

3 years ago