Apply lg on both sides.
lg7^x^2 = lg9^x
Bring the power forward.
x^2lg7 = xlg9
x^2/x = lg9/lg7
x = lg9/lg7 = 1.13
Answer:
x = -6
Step-by-step explanation:
Solve for x:
-x/3 = 2
Multiply both sides of -x/3 = 2 by -3:
(-3 (-x))/3 = -3×2
-3×(-1)/3 = (-3 (-1))/3:
(-3 (-1))/3 x = -3×2
(-3)/3 = (3 (-1))/3 = -1:
--1 x = -3×2
(-1)^2 = 1:
x = -3×2
-3×2 = -6:
Answer: x = -6
Answer:
18 rolls of nickles
Step-by-step explanation:
One roll of dimes would be the same value as 2 rolls of nickles. If she has 9 rolls of dimes, she would have 18 rolls of nickles.
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Answer:
A = 38°
B = 50.32°
C = 91.68°
a = 8
b = 10
c = 12.77
Step-by-step explanation:
The first thing is to find the angle B, like this:
sin B = b * sin A / a = 10 * sin (38 °) / 8
sin B = 0.77
B = arc sin (0.77)
B = 50.32 °
For angle C, it would be:
C = 180 - 38 - 50.32
C = 91.68 °
Side c, we calculate it like this:
c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)
c = 12.77
