Answer: 7/16
Step-by-step explanation:
Distance of the relay race = 1 3/4 miles
Number of runners for the relay team = 4 runners
Distance to be run by each runner will be:
= Distance of the relay race / Number of runners
= 1 3/4 ÷ 4
= 7/4 ÷ 4
= 7/4 × 1/4
= 7/16
Each runner will run 7/16 miles
9x^2 - y^2 = 1
a.) 18x - 2y dy/dx = 0
2y dy/dx = 18x
dy/dx = 9x/y
b.) y^2 = 9x^2 - 1
y = √(9x^2 - 1)
y' = 9x / √(9x^2 - 1)
c.) substituting y = √(9x^2 - 1) into solution for part a gives
dy/dx = 9x / √(9x^2 - 1)
Thus the two solutions are consistent.
Answer:

Step-by-step explanation:
Given
Let the angle be 

is co-terminal with -5
Required
Find 
Start by dividing 5 by 360 (ignore the negative)

The nearest integer greater than 0.0138 is 1.
<em>This implies that if you were to draw for this problem, the circle you would draw to show -5 degrees would go around 1 time</em>
So,
is calculated as:



Yes the value of X is 12.53 :)
Pythagorean theorem.
11•11=121+6•6=36=157
The square root of 157=12.53
The lcm because a multiple is always greater then a factor.