Solve the triangle.
B = 72°, b = 12, c = 8
2 answers:
The answer is <span>12^2=x^2+8^2-16x(cos(72°) </span>
<span>x^2-4.9443x=80 </span>
<span>(x-2.4721)^2=86.1115 </span>
<span>x-2.4721=±9.2796 </span>
<span>x=11.7517 </span>
<span>B=72°, b=12, c=8, a=11.8 </span>
<span>C=arcsin(8/12*sin(72°))=39.3° </span>
<span>A=68.7° </span>
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
we know that
Applying the law of sines
In this problem we have
Step 1
<u>Find the measure angle C</u>
substitute the values and solve for C
Step 2
<u>Find the measure of angle A</u>
we know that
The sum of the internal angles of the triangle must be equal to degrees
so
we have
Step 3
<u>Find the measure of side a</u>
Applying the law of cosines
substitute
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Not sure sorry but you can. Try searching on google or yahoo answers
We can use proportions
12/x = 10/5
12*5 = 10x
60 = 10x
x = 6
Check
12/6 = 10/5
2 = 2
Answer:
x = 6
∠B = 126
Step-by-step explanation:
∠A = ∠B through alternate interior angles
∠A = ∠B
8x + 78 = 2x + 114
8x - 2x = 114 - 78
6x = 36
x = 36 ÷ 6
x = 6
∠B = 2x + 114
2(6) + 114
12 + 114
= 126
The answer is C -208 degrees Fahrenheit!
Answer:
$9486.68
Step-by-step explanation:
The future value of a annuity formula can be used:
FV = P((1+r)^n -1)/r
750000 = P(1.06^30 -1)/0.06
P = 750000(.06)/(1.06^30 -1) = 9486.68
Adam has to contribute $9,486.68 each year to reach his goal.