On a coordinate plane, a piecewise function has two lines. The first line has an open circle at (negative 1, 3) and continues ho
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Answer:
the rate from the plane to the radar station increasing 3 minutes later is 19.81 km/min
Step-by-step explanation:
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 4 km and climbs at an angle of 45 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later?
speed (Δs₁)= change in distance(Δd₁) /(Δt₁)change in time
mathematically,
= Δs₁
= 14 km/min =
and will are to find the speed after passes the radar
=Δs₂ km/min =
to find d₁ and d₂ with respect to angle 45 degree at 4km
sin 45 = opp/hyp = 4/d₁
d₁ = 4/sin45 = 5.66km
tan 45 == opp/adj = 4/d₂
d₂ =4/tan45 = 4km
for three minute increment,
=3 x d₁ x Δs₁ = 3 x d₂ Δs₂
= 3x5.66x14 = 3x 4 xΔs₂
= 237.72 = 12Δs₂
=Δs₂ = 19.81km/min
The average number of fish per cubic kilometer is .
The correct option is B.
Given
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers.
The number of fish in the lake = 6. 3 × 107.
<h3>What is the average value?</h3>The average is the middle value of the given data set and is calculated by adding up all the numbers and dividing the result by the total quantity of figures added.
The average number of fish per cubic kilometer is given by;
Substitute all the values in the formula;
Hence, the average number of fish per cubic kilometer is .
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