Answer: 1:1
Step-by-step explanation:
Given that,
ABC is a right angle triangle, C is the right angle.
To find,
cosB = ?
Solution,
The sum of angle of a triangle is equal to 180 degrees. So,
∠A + ∠B + ∠C = 180°
Put ∠C = 90°
∠A + ∠B + 90° = 180°
∠A + ∠B = 90°
Taking cos with each term.
cosA+cosB = cos (90)
cosA+cosB = 0
cosB=-sinA
Hence, cosB = sinA.
Answer:

Step-by-step explanation:
<u>Simplifying Rational Expressions</u>
If two or more rational expressions have the same denominator, the add and subtract operations are done only with the numerator. The final denominator will be the common of both.
The expression is:

Operating on the numerators:

Removing parentheses:

Simplifying:

The expression cannot be further simplified.
Given:
Total number of colored pencils = 16
Colored pencils fit in a box = 8
To find:
The number of boxed that will fit the 16 pencils.
Solution:
According to the question 8 colored pencils will fit in a box. So, we have
8 pencils = 1 box
Multiply both sides by 2.
2×8 pencils = 2×1 box
16 pencils = 2 box
Therefore, 2 boxes are required to fit the 16 colored pencils.