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Ainat [17]
3 years ago
9

Two cars leave Phoenix and travel along roads 90 degrees apart. If Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mp

h and if Car 2 averages 50 mph, how far apart will they be after Car 1 has traveled 3.5 hours?
A: 230
B: 250
C: 210
Mathematics
1 answer:
romanna [79]3 years ago
3 0

Answer:

C. 210 miles

Step-by-step explanation:

We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.

We will use distance formula and Pythagoras theorem to solve our given problem.

\text{Distance}=\text{Speed}\times \text{Time}

\text{Distance covered by Car 1 in 3.5 hours}=\frac{42\text{ Miles}}{\text{Hour}}\times \text{3.5 hour}

\text{Distance covered by Car 1 in 3.5 hours}=147\text{ Miles}.

Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.

\text{Distance covered by Car 2 in 3 hours}=\frac{50\text{ Miles}}{\text{Hour}}\times \text{3 hour}

\text{Distance covered by Car 2 in 3 hours}=150\text{ Miles}

Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.

\text{Distance between both cars}=\sqrt{147^2+150^2}

\text{Distance between both cars}=\sqrt{21609+22500}

\text{Distance between both cars}=\sqrt{44109}

\text{Distance between both cars}=210.021427\approx 210

Therefore, the both cars will be 210 miles apart and option C is the correct choice.

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What is the that is located in the number line between 30 and 50
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5 0
1 year ago
Jay had 6 times as much money as Kay. Then Jay gave Kay $33. Jay now has twice as much money as Kay. How much did they each star
timofeeve [1]

Answer:

Jay started with $148.5 and Kay with $24.75.

Step-by-step explanation:

With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:

J=6K, where

J is the money Jay had

K is the money Kay had

Also, you know that  Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:

J-33=2(K+33)

Now, you can replace J=6K in this equation and solve for K:

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6K-2K=66+33

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K=24.75

Then, you can replace the value of K in J=6K:

J=6*24.75

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According to this, the answer is that Jay started with $148.5 and Kay with $24.75.

7 0
2 years ago
A function has a constant doubling time. What type of function does this<br> represent?
SIZIF [17.4K]

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Step-by-step explanation:

An exponential function has the characteristic that it increases by a constant factor when the independent variable increases by a constant increment. The function you describe is an exponential function.

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ikadub [295]

Answer:

Step-by-step explanation:

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r=9+3cosθ

a) At point P, we have

θ=\frac{21\pi}{18}

Substitute to get

r=9+cos \frac{21\pi}{18}\\=9.3932

b) Cartesian coordinate is

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c) At the origin r =0

when r =0

we have

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Since cos cannot take values as -3 it doe snot pass through origin.

6 0
3 years ago
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