Answer:
A = 38°
Step-by-step explanation:
We are going to use cosine law to find angle A where
a = 4.7
b = 3.9 m
c = 2.9 m
or
cos A = [(4.7)^2 + (3.9)^2 - (2.9)^2]/2(4.7)(3.9)
= 28.89/36.66
= 0.788
A = arccos(0.788) = 38°
Answer:
A
Step-by-step explanation:
v + w //substitute values
-3i + 2 - 4i //combine like terms
-7i +2
Answer: 71 coins
Step-by-step explanation:
First and foremost, we should note that:
12 months = 1 year
2 years = 12 × 2 = 24 months
Since she has 25 coins in her first month and adds 2 coins to her monthly collections, this means that she has 23 more months. This can be expressed as:
= 25 + 2x
where, x = number of months
= 25 + 2(23)
= 25 + 46
= 71 coins
She will have 71 coins after 2 years.
Answer:
The correct option is B.
Step-by-step explanation:
We know, from the definition of |x|,
|-8x| = - 8x, when - 8x ≥ 0 i.e. x ≤ 0 ......... (1)
and |-8x| = 8x, when - 8x < 0 i.e. x > 0 .......... (2)
Now, for x ≤ 0 {i.e. condition (1)}
- 8x ≤ 8, ⇒ x ≥ - 1 ......... (3)
Again, for x > 0 { i.e. condition (2)}
8x ≤ 8, ⇒ x ≤ 1 .......... (4)
So, combining conditions (3) and (4) we get -1 ≤ x ≤ 1.
So, the correct option is B. (Answer)
