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Math and Arithmetic

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Eulalia Doyle

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Cards in this guide (17)
What is the Metric unit for mass in science

kilogram

A plane is uniformly accelerated from 60 ms to 80 ms in 12 seconds what is the distance traveled by the plane during this period

((60m/s+80m/s)/2)x12s=840m

A jogger runs at an average speed of 5 ms for 3 minutes then finishes with an average speed of 4 ms for 2 minutes What is his average speed in ms for the run

4.6ms

How long will it take a sailboat traveling at the rate of 5 miles per hour to sail 120 miles

It will take a sailboat 24 hours traveling at 5 miles per hour to sail 120 miles.

Which of these rates is slowest 1760 yardsminute 60 mihr or 88 ftsec

When you convert it, you will find out that they're all the same.

The tangent of an angle equals the ratio of the

Sine of the angle to its cosine.

If I have a right triangle The side opposite angle A is 6 meters and the side adjacent angle A is 8 meters How long is the hypotenuse

The hypotenuse is: 10

A man accepts a bet and circumnavigates the earth in 80 days Using 6200 miles as the circumference of the earth at his latitude determine the average speed in miles over hour

3.229 miles/hour

If a right triangle is 12.5 meters and the side opposite a 30 angle. how long is the hypotenuse

If a right triangle is 12.5 meters and the side opposite a 30 angle, the hypotenuse length will be: 14.43 meters.

A driver traveling at a speed of 21 ms tops a hill and spots a deer standing in the middle of the road 90 meters away He hits the brakes and panic stops the car in 8 seconds How far did the car travel

Assuming that his acceleration was linear (ie. that he slowed down at a perfectly steady rate), then you can say his velocity at any point in those eight seconds was:

21 - t(21 / 8) m/s

To get the distance covered in that time, you can simply take the area under that line between 0 seconds and eight seconds. Because it's linear, this is very easy. You're dealing with a right triangle that is 8 seconds wide and 21 meters per second tall. With a triangle, the area is equal to half it's width times it's height, so the equation is:

d = 21m/s * 8s / 2

∴d = 168m / 2

∴d = 84m.

So he traveled 84 meters in those 8 seconds, and probably scared the bejeebers out of that poor deer.

Average speed = 21/2 m/s , Time =8 s, Distance = 8 x 21/2 = 84m

A plane traveling at 80 ms lands on a runway and comes to rest after 10 seconds What was the plane's deceleration

-80/10 = -8 m/s2

In the metric system the prefix for 1 1000 is

milli

120 meters northeast vector or scalar

Vector, magnitude and direction.

You drive a car 2 hours at 40 miles per hour 2 hours at 60 miles per hour how many miles will you travel

If you drive a car at 40 miles per hour for two hours,then the distance covered will be 80 miles.If you drive the car for another 2 hours at 60 miles per hour ,then you will cover another 120 miles.The total distance you will cover is thus 80 miles + 120 miles = 200 miles.

What type of measurement is this 12 feet up scalar or vector

A scalar has distance but no direction.

A vector has distance and direction.

"12 feet up" has distance (12 feet) and direction (up), so is a vector.

Which of these formulas is correctly rewritten from the original formula to solve for b a 3b - 2c

1

What is the tan of angle A bc equals 5 ca equals 12 ba equals 13

tan(23) = 1.58815308

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