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katrin [286]
2 years ago
6

LAST QUESTION ON MY TOPIC!!! PLEASE

Mathematics
1 answer:
nataly862011 [7]2 years ago
5 0

Givens

<em><u>Slower car</u></em>

r = r

t = 12 hours

d = ?

<em><u>Faster car</u></em>

r = r + 20

t = 8 hours

d = ?

It doesn't matter what the exact distance is. You just have to know that the 2 distances are equal ie going to the mountains from his home is the same distance as going from the mountains to his home.

d = r * t

r * 12 hours = (r + 20)* 8 hours.   Remove the brackets on the right

r*12 = 8r + 20*8

r*12 = 8*r + 160

r*12 - 8r = 8r - 8r + 160

4r = 160

r = 40 miles / hour

=================

Slower Ride determines the distance.

d = r*t

d = 40 * 12

d = 480

Check

Use the faster rate (r + 20) = 40 + 20 = 60 mph

60 * 8 = 480. Both distances work out to be the same.

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Answer:

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Step-by-step explanation:

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So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length 5\sqrt{3}. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.

Let's find the complementary angle.

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The adjacent side of the complementary angle is 5\sqrt{3}.

\tan(\theta)=\frac{5}{5\sqrt{3}}

\tan(\theta)=\frac{1}{\sqrt{3}}

\theta=\tan^{-1}(\frac{1}{\sqrt{3}})

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So 90-30=60.

The answer therefore 60+90=150.

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astraxan [27]

Answer:option A is the correct answer.

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zubka84 [21]

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C.

Step-by-step explanation:

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Anuta_ua [19.1K]
You could interpret them as system of equation and answer the question easily

from A 

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write in same form from A 

as this system has five variables and four of them are unknowns it means the unique solution is not possible 

So, det (A) = 0



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On a car trip , the number of miles driven , m , is proportional to the number of gallons of gas used , g , as shown in the tabl
FrozenT [24]

Answer:

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Step-by-step explanation:

The proportion between m and g can be written ...

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