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mina [271]
3 years ago
11

Two​ cars, 540 kilometers​ apart, begin driving toward each other on a​ long, straight highway. one car travels 75 kilometers pe

r hour and the other 105 kilometers per hour. at the same​ time, a​ canary, starting on one​ car, flies back and forth between the two cars as they approach each other. if the canary flies 100 kilometers per hour and spends no time to turn around at each​ car, how far has it flown when the cars​ collide?
Mathematics
1 answer:
Elodia [21]3 years ago
5 0

One car travels at a speed of 75 kilometers per hour and the other car travels at a speed of 105 kilometers per hour.

Since both the cars are travelling towards each other their combined speed will be: 75+105=180 km/h.

Now, since the distance between the cars to start with is 540 km. Therefore, the time taken before the cars collide is:

t=\frac{540}{180} =3 hours.

Now, the speed of the canary is 100 km/h.

Therefore, the Canary flies flies for (100 km/h)x(3 hours) = 300 km before the cars collide.


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9 is subtracted from 3 times the sum of 4 and 2​
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Answer:

9

Step-by-step explanation:

3 times the sum of 4 and 2 = 3*(4+2)

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18 - 9 = 9

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3 years ago
On Monday, Harold picked up four donuts and five large coffees for the office staff. He paid $ 6.33  
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3 years ago
If 3x^2-4x+7=0, then [x-2/3]^2=
Andrews [41]
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3 years ago
What is z- 4/4 +8 simplified?​
vova2212 [387]

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Step-by-step explanation:

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2 years ago
What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share
hichkok12 [17]

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

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