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3 years ago

Which value of y would make OP || LN ?

Mathematics

1 answer:

guajiro [1.7K]3 years ago

3 0

Remark
All you need do is assume the small triangle is similar to the large one. MO:ML :: MP:MN must be solved.

Givens
MO = 28
ML = 28 + 14
MP = y
MN = y + 18

Equation
28:28+14 :: y: y + 18

Solve
28/42 = y / (y + 18)
28*(y + 18) = 42y Remove the brackets
28y + 18*28 = 42y
28y + 504 = 42y Subtract 28y from both sides.
504 = 42y - 28y
504 = 14y Divide by 14
504/14 = y
y = 36

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1 year ago

A car is travelling at exactly 6 miles per hour and accelerates at a constant rate to exactly 65 miles per hour.

vichka [17]

Answer:

$14878.04878miles/hours^2$

Step-by-step explanation:

Let's find a solution by understanding the following:

The acceleration rate is defined as the change of velocity within a time interval, which can be written as:

$A=(Vf-Vi)/T$ where:

A=acceleration rate

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Vi=initial velocity

T=time required for passing from Vi to Vf.

Using the problem's data we have:

Vf=65miles/hour

Vi=6miles/hour

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Using the acceleration rate equation we have:

$A=(65miles/hour - 6miles/hour)/14.8seconds$ , but look that velocities use 'hours' unit while 'T' uses 'seconds'.

So we need to transform 14.8seconds into Xhours, as follows:

$X=(14.8seconds)*(1hours/60minutes)*(1minute/60seconds)$

$X=0.0041hours$

Using X=0.0041hours in the previous equation instead of 14.8seconds we have:

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$A=(61miles/hour)/0.0041hours$

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3 years ago

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liubo4ka [24]

Answer:

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Step-by-step explanation:

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\end{cases}
\\\\\\
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2 years ago

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