I think 45 because if you look at the top of the other 45 the graphs look the same lengths except this one stretches out so 45°
Remember the rules of Sohcahtoa (Sine, cosine, tangent). For this problem we take the cosine of 38 because the labeled sides are the adjacent leg and the hypotenuse.
Cos(38)=79/x
Cosine of 38 is about 0.7880
0.7880=79/x
Next we multiply both sides by the denominator
(x) 0.7880=79 (x)
Then divide.
<u>0.7880x</u>= <u>79</u>
0.7880 0.7880
X=100.25
Hope this helped :)
1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.
y=mx+b
y=1/4x-5
2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1
Remember: in an ordered pair, x comes first then y.
Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9
6-(-)2/-2-9= - 4/11.
The slope of your next equation would be m= - 4/11
Answer: nickels = 14, dimes = 42, quarters = 18
<u>Step-by-step explanation:</u>
Let n represent nickels <em>which has a value of $0.05 </em>
Let d represent dimes <em>which has a value of $0.10</em>
Let q represent quarters <em>which has a value of $0.25</em>
It is given that:
n = n
d = 3n
q = n + 4
and their total value is $9.40 ⇒ n + d + q = $9.40
Use substitution to find the quantity of nickels:
.05(n) + .10(3n) + .25(n + 4) = 9.40
5n + 10(3n) + 25(n+4) = 940 <em>multiplied by 100 </em>
5n + 30n + 25n + 100 = 940 <em>distributed</em>
60n + 100 = 940 <em>added like terms</em>
60n = 840 <em>subtracted 100</em>
n = 14 <em>divided by 60</em>
n = 14
d = 3n
= 3(14)
= 42
q = n + 4
= (14) + 4
= 18
