An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?

Mathematics

2 answers:

Andrews [41]3 years ago

6 0

He is correct I got it right thanks :)

snow_lady [41]3 years ago

4 0

Answer:

Step-by-step explanation:

This will be solved using distance formula between two coordinates.

The distance formula between two coordinates is given as;

d =

Point T has coordinate of T(80,20)

Distance to Point U(20,60) is;

TU =

TU ≈ 72 Units

Distance From Point U(20,60) to Point V(110,85);

UV =

UV ≈ 93 units

I didn't bother to calculate TV because we are looking for shortest distance for the trip and by inspection if he goes from T to V first before Point U, it will be a longer journey.

Thus, shortest distance = TU + UV

shortest distance = 72 + 93 = 165 units

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a bus travels for 2 2/3 hours at the speed of 36 miles per hour. find the distance traveled usingvthe formula d=rt

Dmitry [639]

Answer:

Step-by-step explanation:

$t=2\dfrac{2}{3}\ h=\dfrac{2\cdot3+2}{3}\ h=\dfrac{8}{3}\ h\\\\r=36\ mph\\\\\text{Substitute to}\ d=rt:\\\\d=36\!\!\!\!\!\diagup^{12}\ \dfrac{mi}{h\!\!\!\!\diagup}\cdot\dfrac{8}{3\!\!\!\!\diagup_1}\ h\!\!\!\!\diagup=(12\ mi)(8)=96\ mi$