Answer:
56.8
Step-by-step explanation:
Ratios.
42------60
1----------1.42
40-------56.8
First, divide 42 by 42 which is one. Then, divide 60 by 42, which is 1.42.
Next, multiply 1 by 40. Finally multiply 1.42 by 40 which is 56.8. Hope this helps
Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c
Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420
Therefore, the equation that describes the relation is:
2.5xy = 420
First subtract 100v² from both sides to get:
C²L²=100c²-100v²
Then divide both sides by C²:
L²=(100c²-100v²)/C²
Then take the square root of both sides:
L=+ or - the square root of (100c²-100v²)/C²
Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 
Answer:
x= 7
Step-by-step explanation:
It's a 45 45 90 triangle
The legs are = x while the hypotenuse is x .
Therefore the answer is 7
