Observe the figure given.
Let us complete the given paragraph:
It is given that E is the midpoint of DF. So, DE 
by the definition of midpoint.
As, midpoint divides the line segment into two equal halves.
Therefore, DE =EF by the segment congruence postulate. DE+EF = DF by the segment addition postulate and so DE+DE = DF by substitution.
Segment Addition Postulate states that given 2 points P and Q, a third point S lies on the line segment PQ if and only if the distances between the points satisfy the equation PS + SQ = PQ.
Simplifying gives 2DE = DF.
Answer:
The answer is in Step.
Step-by-step explanation:
Domain: (- inf, + inf)
Range: (- inf, 3]
Increasing: (- inf , 0)
Decreasing: (0 , + inf)
Positive: (- 1 , 1 )
Negative: (- inf , -1) , (1 , + inf)
Maximum: (0,3) or just 3.
Minimum: None.
x-int: -1, 1
y-int: 3
Take your choice of the trig function you would like to use.
∠B = arcsin(24/26) = arccos(10/26) = arctan(24/10) ≈ 67.38°
Answer:
1/7
Step-by-step explanation:
you divide both numbers by 4
We have two questions, but we need to find the volume of the spherical tank first.
So the formula we will use to find the volume is:
(4/3)πr³=V
Let's fill in the information we have and solve. We will be using 3.14 for pi.
(4/3)(3.14)6³
(4/3)(3.14)(216)
4.1867×216
I'll be using the repeating decimal for 4.1867, I rounded to 7, but there is a repeating 6.
904.32
So the volume is 904.32 yards³ (or 904.78 if using the full pi)
We have to multiply the volume by 7.15.
904.32×7.15
6,465.89
It will cost $6,465.89 to fill the tank with the liquid.
