Answer:
Step-by-step explanation:
The unknown angle.
Start by finding the third angle. Call it x.
x + 125 + 32 = 180
x + 157 = 180
x = 180 - 157
x = 23
Now you are set to use the law of sines.
Call ? = x
x/sin(32) = 7/sin(23) Multiply both sides by Sin(32)
x = 7*sin(32)/sin(23)
x = 7*(0.5299) / sin(23)
x = 3.7094/ sin(23)
x = 3.7094 / 0.3097
x = 9.4935
Rounded to the nearest 10th
x = 9.5
Answer:
17 ± sqrt(337)
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2
Step-by-step explanation:
Let a = shorter leg
b= longer leg = a+7
c = hypotenuse = 2a-5
We can use the Pythagorean theorem
a^2+b^2 = c^2
a^2 + (a+7)^2 = (2a-5)^2
(a+7)^2 = a^2 +7a +7a+49 = a^2 +14a +49
(2a-5)^2 = 2a*2a -10a -10a +25 = 4a^2 -20a +25
Substituting these into the equation
a^2 + (a^2 +14a +49) = (4a^2 -20a +25)
Combine like terms
2a^2 +14a +49 = 4a^2 -20a +25
Subtracting 2a^2 from each side
2a^2 -2a^2 +14a +49 = 4a^2-2a^2 -20a +25
+14a +49 = 2a^2 -20a +25
Subtract 14a from each side
-14a+14a +49 = 2a^2 -20a -14a+25
+49 = 2a^2 -34a +25
Subtract 49 from each side
49-49 = 2a^2 -34a +25-49
0 = 2a^2 -34a -24
Divide each side by 2
0/2 = 2/2a^2 -34/2a -24/2
0 = a^2 -17a -12
Using the quadratic formula
a=1 b= -17 c = -12
17 ±sqrt( (-17)^2 - 4(1)(-12))
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2(1)
17 ± sqrt(337)
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2
Answer:
A. 7
Step-by-step explanation:
If you were to solve for c by using d as 7 you would get:
c+7=40
c would then equal 33, which is greater than 30
.35 cents if you divide $3.50 by 10 you will end up with .36 cents
