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
35
this is the correct answer if you're on usatestprep
Answer: 21
Step-by-step explanation:
35 Percent of 70 is 24.5
We assume, that the number 70 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 70 is 100%, so we can write it down as 70=100%. We know, that x is 35% of the output value, so we can write it down as x=35%. <span>Now we have two simple equations: 1.)70=100% 2.)x=35%</span>where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 70/x=100%/35% Now we just have to solve the simple equation, and we will get the solution we are looking for.
Answer:
(8, -5); x=8; y=-5
Step-by-step explanation:
i'll be solving via substitution
2x+3y=1; y=-2x+11
2x + 3(-2x +11) = 1
2x -6x +33 = 1
-4x = -32
x = 8
2(8) + 3y = 1
16 + 3y = 1
3y = -15
y = -5
(8, -5)
Check:
-5 = -2(8) + 11
-5 = -16 + 11
-5 = -5
