In order to figure out the horizontal distance Raymond travels using his zip cable, we may simply apply Pythagoras theorem which is, for a right triangle:
hypotenuse² = base² + height²
base = √(hypotenuse² - height²)
base = √(65² - 52²)
base = 39 yards
Raymond will travel a horizontal distance of 39 yards.
The statement "y varies directly as x," means that when x increases, y increases by the same factor. In other words, y and x always have the same ratio: y/x =K
it can be written as ---> y=kx
then put in the values to get a common ratio
k= y/x
k1= 11/7
k2= 13/8
therefore, there's no common ratio in the given table
Answer:
For the function
y = cos(1/2 x)
The x-intercept can be calculated by equating the function to zero and solving for x. So,
y = cos(1/2 x) = 0
1/2 x = arc cos 0
1/2 x = 90° +180°n
x =2 (90° +180°n)
x = 180° + 360°n
or converting to radians
x = (180° + 360° n)(π/180°)
x = π + 2π n
where n is any whole number
if n = 0
x = π
Therefore, the x-intercept is π or π+2π n
Step-by-step explanation:
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Equation: f(x)=(1/5)x^2 or f(x)=(0.2)x^2
Check:
f(0)=(1/5)(0)^2
f(0)=(1/5)(0)
f(0)=0✓
f(5)=(1/5)(5)^2
f(5)=(1/5)(25)
f(5)=5✓
Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.
Step-by-step explanation:
An American gallon has 3.78541 liters.
3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters
We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes
681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.
