Answer:
Option C is correct.
Step-by-step explanation:

We need to find reference angle and signs of sinФ, cosФ and tanФ
We know that
is equal to 150°
and 150° is in 2nd quadrant.
So, Ф is in 2nd quadrant.
And In 2nd quadrant sine is positive, while cos and tan are negative
The reference angle Ф' is found by: π - Ф
=> Ф = 5π/6
so, Reference angle Ф' = π - 5π/6
Ф' = 6π - 5π/6
Ф' = π/6
So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.
Answer:
100
Step-by-step explanation:
Answer:
Option b) and c) are correct
Step-by-step explanation:
Given expression is 5s - 11b + 3s - 12b
5s - 11b + 3s - 12b=8s-23b (Rearranging the right hand side terms)
5s - 11b + 3s - 12b =-23b+8s
Option c) is correct
By the definition of equivalent the given expression is the sum of the two terms ( the terms may vary or equal)
From the definition of equivalent we get, Option b) is also correct
Therefore Option b) and c) are correct
I hope I am reading the problem right: The price of a mountain bike increased by 20% in the past year. The value is $150. What was the value of the mountain bike last year?
Let's simplify this. One year, there was this radical mountain bike that used to have an unsaid price, <em>x. </em>That year, that price of x increased by 20% more than it was before, or <em>120% times the original value</em>. Because of that, it's now $150.
We can equation this.
1.20x = 150
x = 150/1.2
x = 125
The bike, I believe, cost $125 last year. Hope this helps!
Answer:
standard form is x^2-3x-4=0
which is a^2+bx+c=0
so the value of a=1 , b= -3 and c= -4