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kvv77 [185]
3 years ago
9

2

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0

Answer:

D.   -\sqrt{17}/8

Step-by-step explanation:

Draw a right triangle such that cos (theta) = 8/9.  That means the hypotenuse = 9 and the adjacent side to theta = 8

Use the Pythagorean theorem to find the opposite side to theta

\sqrt{9^{2} - 8^{2} }  = \sqrt{81 - 64}  = \sqrt{17}

tan (theta) = \sqrt{17}/8

Since theta is in quadrant IV, the tan is negative.  So, tan (theta) = -\sqrt{17}/8

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At 2pm two military convoys leave Eagle River Wisconsin one headed North and 1 headed South the convoy headed North averages 50
skelet666 [1.2K]

Answer:

The answer to the question is

1.5 hours that is;

When the distance between them is more then 135 miles is after 1.5 hours and they will lose radio contact at 3:30 p.m.

Step-by-step explanation:

We note that

The speed of the military convoy headed north =50 mph

The speed of the convoy headed south  = 40 mph

Let t be the time taken for the two convoys to be 135 miles apart

The time taken for the two convoys to be 135 miles apart is given by

50×t miles+ 40×t miles= 135 miles

That is 90×t miles = 135 miles

                  t = 135/90 = 1.5 hrs

3 0
3 years ago
Please help! Explain if you can
sweet-ann [11.9K]

Answer:

56 degrees

Step-by-step explanation:

Because DF is a line that makes it 180 degrees we know that the other two angles on that line are are 60 and 64 now we can make an equation:

60 + 64 + x = 180

124 + x = 180

Subtract 124:

x = 56

5 0
3 years ago
Read 2 more answers
when 200 apples are sold at Rs 1.50 each there will be rupees hundred loss how many apples should be sold for rupees 150 to gain
Lera25 [3.4K]

Answer:

Step-by-step explanation:

Sales price of 200 apples = 300

At this price, there was loss of Rs. 100

Means the cost of the apples was

300 + 100 = Rs. 400

To earn Rs. 100, they should have been sold for Rs. 500

4 0
3 years ago
It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how many pages does he complete in 200 minutes?
Anna [14]
He can complete about 6 pages of math homework.
you first do 200 divided by 32 and you get 6.25. So therefore Dan can complete 6 pages in 200 minutes.
7 0
3 years ago
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If you ride your bike 12 miles per hour, how long would it take<br> you to travel 72 miles ?
poizon [28]

Answer:

It would take 6 hours for you to travel 72 miles.

Step-by-step explanation:

This question can be solved by a simple rule of three.

We have that:

Each hour, you ride 12 miles.

How many hours will take for you to travel 72 miles?

So:

1 hour - 12 miles

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x = 72/12

x = 6

It would take 6 hours for you to travel 72 miles.

4 0
3 years ago
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