Answer:
157 in(3)
Step-by-step explanation:
Answer:
y-intercept:20
slope:5
Step-by-step explanation:
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] /
<span>
<span>
<span>
1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) =
<span>
<span>
<span>
0.96374829001368
Angle A = 15.475
Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span>
<span>
<span>
<span>
154.85
</span></span></span>Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675
Source:
http://www.1728.org/trigtut2.htm
Answer:
a 25 questions, 4 points b 19 questions
Step-by-step explanation:
a 96:100 = 24 : x
x = (100 x 24)/96 = 25 questions
100 : 25 = 4 points
b 76:100 = x : 25
x = (76 x 25)/100 = 19 questions
Answer:
S=32 D=34
Step-by-step explanation:
{-----------------VARIABLES------------}
D=Drake
S=Stephanie
TA=Total Age
{----------------GIVEN/EQUATIONS-------------}
D=S+2
TA=D+2s
{--------------SUB/SOLVE---------------}
98=D+2S
SUB FOR D
98=3S+2
96=3S
S=32
D=S+2
D=34
