Given:
The ratio of 45-45-90 triangle is .
The hypotenuse of the given isosceles right triangle is .
To find:
The lengths of the other two sides of the given isosceles right triangle.
Solution:
Let be the lengths of the other two sides of the given isosceles right triangle.
From the given information if is clear that he ratio of equal side and hypotenuse is . So,
Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.
Answer:
1 + cosa sina
Step-by-step explanation:
cos³a - sin³a ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
cos³a - sin³a
= (cosa - sina )(cos²a + cosa sina + sin²a)
= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]
Then
= ← cancel (cosa - sina) on numerator/ denominator
= 1 + cosa sina
Answer:
Yes, "y" varies directly with "x".
The equation is:
Step-by-step explanation:
By definition, Direct variation equations have the following form:
Where "k" is the Constant of variation.
If you solve for "k", the equation is:
Then, given the table provided in the exercise, you can know if "y" varies directly with "x" by finding the quotient of the correspoding values of "x" and "y":
- Dividing by
you get:
- Divide by
:
- Dividing by
:
Since the quotient is constant, then "y" varies directly with "x" and the the Constant of variation is:
Therefore, the equation for the Direct variation is: