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Troyanec [42]
2 years ago
12

Given that sinθ=-3/4 in quadrant 4 find cosθ

Mathematics
1 answer:
Gekata [30.6K]2 years ago
4 0

Step-by-step explanation:

sin∅=-3/4 in 4 quadrant which sine is negative there

using soh cah toa

sin=opp/hyp

where our opp=-3 and our hyp=4

using pythagoras theorem

hyp²=opp²+adj²

(4)²=(-3)²+adj²

16=9+adj²

16-9=adj²

adj²=7

adj=√7

from soh cah toa

cos∅=adj/hyp

cos∅=√7/4

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Evaluate the following expressions giving the functions g(x)= -4x+3 <br> g(10) is the expression
Artemon [7]

Answer:

g(10) = -37

Step-by-step explanation:

g(x)= -4x+3

g(1) means evaluate when x=10

g(10) = -4*10 +3

g(10) = -4*10 +3

g(10) = -40+3

g(10) = -37

8 0
3 years ago
12<br> Fill in the blank: What's the length of the missing<br> side?<br> Ilype your answer
Kisachek [45]

Answer:

13

Step-by-step explanation:

Using Pythagoras Theorem:

a^2+b^2=c^2

Substitute values of a and b:

5^2+12^2=25+144=169

c^2=169\\c=13

The length of the missing side is 13.

8 0
3 years ago
hanna buys 3 packs of 36 exposure film and 2 packs of 24 exposure film. she uses 8 rolls of film. how many rolls does she have l
RSB [31]
To solve this problem, first we have to figure out how many total rolls Hanna buys.

3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls

108 rolls + 48 rolls = 156 rolls.

Next, it says that Hanna uses 8 rolls of film.  To model this in our expression, we need to subtract 8 rolls from our total amount.  

156-8 = 146 rolls

Hanna has 146 rolls left.


7 0
3 years ago
Read 2 more answers
Find the side length x. Round your answer to the nearest hundredth.
Alchen [17]
Side length-80

So we know that for a Right Angle, both sides have to measure up to 90 degrees. If one side is 10, and both sides need to add up to 90, then we can take 10 away from 90. That would be 80. 80 + 10 = 90. So the missing side length is 80.


-DustinBR
3 0
3 years ago
15 percent converted to a simply fractin work it a out if your gonna answer​
Elza [17]
All percents are out of 100 so start with 15/100 and then simplify

3/20
5 0
3 years ago
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