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EastWind [94]
3 years ago
5

An auto transport truck holds 12 cars. A car dealer plans to bring in 1,150 new cars in June and July. If an auto transport truc

k is filled for each delivery, except for the last one, how many full truckloads are needed and how many cars will be in the last truck? 95 full truckloads with 12 cars on the 96th truck 96 full truckloads with 10 cars on the 97th truck 960 full truckloads with 10 cars on the 961st truck 95 full truckloads with 10 cars on the 96th truck
Mathematics
1 answer:
Vikki [24]3 years ago
4 0
12 x 95 = 1,140cars so 10 more cars would be on the 96th truck

Answer: 95 full truckloads with 10 cars on the 96th truck
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4 years ago
The naturalist views an elephant in the distance, but he doesn’t know how far away the elephant is from him. He takes a view to
andrezito [222]

Answer:

10.11 feet

Step-by-step explanation:

Let H ft be the elephant's height and x ft be the initial distance from naturalist to the elephant.

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\tan 22^{\circ}=\dfrac{H}{x}.

2. Naturalist moves backwards from the elephant pacing off a distance of 27 feet, the distance from naturalist to the elephant becomes (x+27) ft. He takes a second view and determines a new angle of elevation of 11 degrees. Then

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3. Solve the system of two equations:

\left\{\begin{array}{l}\tan 22^{\circ}=\dfrac{H}{x}\\\tan 11^{\circ}=\dfrac{H}{x+27}\end{array}\right.\Rightarrow \dfrac{x+27}{x}=\dfrac{\tan 22^{\circ}}{\tan 11^{\circ}}\approx 2.0785,\\ \\ \\x+27=2.0785x,\\ \\1.0785x=27,\\ \\x\approx 25.0347\ ft.

Then

H=x\cdot \tan 22^{\circ}\approx 10.11\ ft.

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