Answer:
18°
Step-by-step explanation:
The law of cosines tells you ...
a² = b² + c² -2bc·cos(A)
Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.
cos(A) = (b² +c² -a²)/(2bc) = (49 +100 -16)/(2·7·10) = 133/140
A = arccos(133/140) ≈ 18.2° ≈ 18°
Answer:
54
Step-by-step explanation:
27 divided by 3 = 9
9 times 6cm= 54cm
Answer:
160
Step-by-step explanation:
This is basically saying "8 is 5% of what number (total)"?
<u>Note:</u> 5% in decimal is 5/100 = 0.05
When translating a word statement into algebra, we need to note that "is" means "equal" and "of" means "multiplication".
Let's translate <u>"8 is 5% of what number (total)"</u> (letting total number of coins be n):
8 = 0.05 * n
<em>solving, gives us:</em>
<em>8 = 0.05*n</em>
<em>n = 8/0.05 = 160</em>
<em />
<em>Hence, total number of coins Mia has is 160</em>
1 / (1/6) = x / (2/3)...1 drop to 1/6 dash = x drops to 2/3 dash
cross multiply
(1/6)(x) = (1)(2/3)
1/6x = 2/3
x = 2/3 * 6
x = 12/3 = 4 drops <==
