Answer:
Volume of rectangular prism:
V1 = base x height = 4 x 6 x 12 = 288 ft3
Volume of triangular prism:
V2 = base x height = 4 x (6/2) x 6 = 72 ft3
Volume of composite prism:
V= V1 + V2 = 288 + 72 = 360 ft3
Hope this helps!
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Answer:
3wxyz
Step-by-step explanation:
just add the variables
Answer:
The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
Step-by-step explanation:
This is a problem of optimization.
We have to minimize the time it takes for the lifeguard to reach the child.
The time can be calculated by dividing the distance by the speed for each section.
The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.
Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:
Then, the time (speed divided by distance) is:
To optimize this function we have to derive and equal to zero:
As , the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.
Answer:
Therefore the final elevation of the butterfly is 4 m.
Step-by-step explanation:
i) initial elevation = 20 m
ii) change in elevation = -16m
iii) therefore final elevation = initial elevation + change in elevation
= 20 m + (-16 m)
= (20 - 16) m
= 4 m
Therefore the final elevation of the butterfly is 4 m.
No If it was 4 to 3 then yes but 4 can't be multiplied by anything to equal 9