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)
Answer:
x + 2x + 2x + 2 + 4x + 4 = 42
Step-by-step explanation:
Let us assume the number of orange buttons be x
So, the grey buttons be 2x
The white buttons would be 2x + 2
And the black buttons be 2(2x + 2) i.e. 4x + 4
Also the total is 42 buttons
So, the equation is
x + 2x + 2x + 2 + 4x + 4 = 42
H= -1
Distribute:
-(4+h)= -4 - h
-4 - h= 3h
-4 +h = 3h + h
-4= 4h
-1 = h
3. Credit Card: (1842.66 - 250) (.145/12) = $19.24
Savings: 250(0.04/12) = $0.83
Difference = 19.24 - 0.83 = $18.41
4. Credit Card: (1842.66 - 500) (.145/12) = $16.22
You will save $18.41 - $16.22 = $2.19 by putting all $500 toward the higher credit card rate.
it is definitely the answer B
