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Nastasia [14]
4 years ago
10

If the point (3/5,4/5) corresponds to an angle theta in the unit circle, what is csc ?

Mathematics
1 answer:
SOVA2 [1]4 years ago
7 0
We have a triangle:
the side opposite the angle Ф is 4/5, 
The side adjacent the angle Ф is 3/5

1) we calculate the hypotenuse, by the Pythagoras Theorem:
h=√[(4/5)²+(3/5)²]=1

2) we calculate the csc of Ф
csc Ф= hypotenuse / opposite side

csc Ф=1/ (4/5)=5/4

Answer: e. 5/4
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3 years ago
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3 years ago
One integer is 4 more than another. Their product is 60.
Paladinen [302]

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8 0
3 years ago
Emily is building a square bookshelf. She wants to add a diagonal support beam to the back to strengthen it. The
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7 0
3 years ago
A jet plane traveling at 550 mph overtakes a propeller plane traveling at 150 mph that had a 3​-hour head start. How far from th
Otrada [13]

The planes are 618.75 miles from starting point

<em><u>Solution:</u></em>

Let t is the travel time of the jet

Then  (t + 3) is the travel time of the propellar

When the jet overtakes the propellar, they will traveled the same distance

<em><u>Distance is given as:</u></em>

Distance = speed \times time

<h3><u>Distance equation for Jet</u></h3>

A jet plane traveling at 550 mph

Distance\ by\ jet = 550 \times t\\\\Distance\ by\ jet = 550t

<h3><u>Distance equation for propellar:</u></h3>

propeller plane traveling at 150 mph

Distance\ by\ propellar = 150 \times (t+3)

Equate both distance

550t = 150(t+3)\\\\550t = 150t + 450\\\\550t - 150t = 450\\\\400t = 450\\\\t = \frac{450}{400}\\\\t = 1.125

<h3>Find the distance from the starting point</h3>

Distance = 550 \times t = 550 \times 1.125\\\\Distance = 618.75

Thus they are 618.75 miles from starting point

8 0
3 years ago
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