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Svetllana [295]
3 years ago
6

A wise man once said, "500 reduced by 3 times my age is 260." What is his age?

Mathematics
1 answer:
Mandarinka [93]3 years ago
7 0
The wise man is 54 years old
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labwork [276]

Answer: 333.2ft

Step-by-step explanation:

We can draw a triangle rectangle, where the distance between the base of the building and the car is one cathetus (300ft)

The height of the building is the other cathetus.

Now, we know that the angle of depression from the top of the building to the car is 42°

This angle is measured from a perpendicular line in from the building, so the "top angle" of the triangle rectangle will be:

90° - 42° = 48°

if we steep on this angle, the 300ft cathetus is the opposite cathetus and the height of the building is the adjacent cathetus.

Here we can use the relation:

Tan(A) = Opposite cathetus/adjacent cathetus:

Then:

Tan(48°) = H/300ft

Tan(48°)*300ft = H = 333.2ft

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The formula for slope is \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

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so...

\frac{1 - (-3)}{-4 - 0}

\frac{4}{-4}

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3×3×5×5 as powers??<br>​
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Answer:

= 225

Step-by-step explanation:

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A car travels at a constant speed. What is the car's speed between checkpoints, expressed as a unit rate? Checkpoint A 1:00 PM T
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Average speed  

Average speed between the checkpoints  
distance between the checkpoints
divided by
time between the checkpoints. 

Distance between the checkpoints = 
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Time between the checkpoints = 
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=(3:00 PM) - (1:00 PM) =  2 hours .

Average speed between the checkpoints  =  

(88 miles) / (2 hours)

=44 miles per hour .
  
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3 years ago
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