Answer:
Step-by-step explanation:
The trick is not to get all caught up in Pythagoras. There is a much simpler way to do it. Find the area of the triangle two different ways. DG and DE are at right angles. That is one way to find area. The other is use the height (DF) and multiply that by the hypotenuse GE.
DG*DE/2 = GE * DF/2 Multiply both sides by 2
DG*DE = GE * DF
DG = 8
DE = 15
GE = 17
8*15 = 17* DF
120 = 17 * DF Divide by 17
120/17 = DF
DF = 7.06
The answer to the question
Answer:
1 and 1/30 gallons
Step-by-step explanation:
First, convert all the fractions to a common denominator. I'm choosing 30.
1/3=10/30 1/5=6/30 1/2=15/30
Now, you can add them together to get 31/30, so a little more than a gallon
First, let's use the given information to determine the function's amplitude, midline, and period.
Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.
Finally, we should determine the parameters of the function's formula by considering all the above.
Determining the amplitude, midline, and period
The midline intersection is at y=5 so this is the midline.
The maximum point is 1 unit above the midline, so the amplitude is 1.
The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
Determining the type of function to use
Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function.
This means there's no horizontal shift, so the function is of the form -
a sin(bx)+d
Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.
The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1.
The midline is y=5, so d=5.
The period is 4π so b = 2π / 4π = 1/2 simplified.
f(x)1 sin 1/3x+5 = Solution
Answer:
1cm = 110km
Step-by-step explanation:
