3y - 12 = -6
3y = 6 | Add 12 to both sides
y = 2 | Divide by 3 on both sides
Answer: y = 2 (Answer B)
Answer:
radicial expressions
Step-by-step explanation:
Answer:68.3 degrees
Step-by-step explanation:
The diagram of the triangle ABC is shown in the attached photo. We would determine the length of side AB. It is equal to a. We would apply the cosine rule which is expressed as follows
c^2 = a^2 + b^2 - 2abCos C
Looking at the triangle,
b = 75 miles
a = 80 miles.
Angle ACB = 180 - 42 = 138 degrees. Therefore
c^2 = 80^2 + 75^2 - 2 × 80 × 75Cos 138
c^2 = 6400 + 5625 - 12000Cos 138
c^2 = 6400 + 5625 - 12000 × -0.7431
c^2 = 12025 + 8917.2
c = √20942.2 = 144.7
To determine A, we will apply sine rule
a/SinA = b/SinB = c/SinC. Therefore,
80/SinA = 144.7/Sin 138
80Sin 138 = 144.7 SinA
SinA = 53.528/144.7 = 0.3699
A = 21.7 degrees
Therefore, theta = 90 - 21.7
= 68.3 degees
Answer:
110
Step-by-step explanation:
Y and X have to equal 180
70+x+180
=110
Let number of books by astrid's = x
Out of x , 84% are fiction.
So, Number of non fictional books = x -
=
→Ratio of number of books to fictional books
⇒[Dividing numerator and denominator by 4.]
→Out of 25 books by astrid 21 are fictional.
→ Number of fictional books by astrid =