How do you solve 4=2^x?
2 answers:
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Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let
Therefore, the constant of proportionality is 6. Hence the complete equation is given as:
Answer:
A = 36.8°
B = 23.2°
a = 7.6
Step-by-step explanation:
Given:
C = 120°
b = 5
c = 11
Required:
Find A, B, and a.
Solution:
✔️To find B, apply the Law of Sines
Plug in the values
Cross multiply
Sin(B)*11 = sin(120)*5
Divide both sides by 11
Sin(B) = 0.3936
B =
B = 23.1786882° ≈ 23.2° (nearest tenth)
✔️Find A:
A = 180° - (B + C) (sum of triangle)
A = 180° - (23.2° + 120°)
A = 36.8°
✔️To find a, apply the Law of sines:
Plug in the values
Cross multiply
a*sin(23.2) = 5*sin(36.8)
Divide both sides by sin(23.2)
a = 7.60294329 ≈ 7.6 (nearest tenth)