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)
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.
Here are the steps:
1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440
2. 0.55 x 1440 (55% are chocolate) = 792 chocolate
3. 1440 - 792 (the remaining number of cupcakes)=648
4. 1/3(33 1/3%) x 648 = 216 red velvet
5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes
Chocolate-792
Red velvet - 216
Vanilla - 432
Answer: Option D
D. 880 = 45d + 70; 18 days
Step-by-step explanation:
We know that the cost of preschool is $ 45 per day plus a monthly fee of $ 70.
We also know that a total of $ 880 was paid last month
To write an equation that represents this situation, let us call d the number of days that Barry attends school
So the cost was:
Now we solve the equation for the variable d
The answer is the option D
Answer:
they move one over to the left
Step-by-step explanation:
a zero is added to the number and the decimal is shifted
