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Math and Arithmetic

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Alberto Hoeger

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Cards in this guide (18)
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

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.

Find the uniformed acceleration that causes a car's velocity to increase from 32 ms to 96 ms in a period of 8.0 seconds

The average uninformed acceleration is (delta-V) / (delta-T). Delta-V = (96 - 32) = 64 m/s. Delta-T = 8.0 seconds. A = (64 m/s) / (8.0 sec) = 8 m/s2

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 force of 20 N gives a ball an acceleration of 4.0 ms on a level frictionless surface what is the mass of the ball

F=ma

m=F/a

m=20/4.0

m=5Kg

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

Police find skid marks 180 meters long on a highway where a car made an emergency stop Assuming that the deceleration was a equals 10 ms about the maximum for dry pavement how fast was the car t

60 m/s

120 meters northeast vector or scalar

Vector, magnitude and direction.

How many airmiles from Oklahoma city to dallas

Air miles from Oklahoma City, Oklahoma, to Dallas, Texas, total 191 miles. That is 307 kilometers or 166 nautical miles.

What type of measurement is this 5 meters second west

Vector because it has both direction and magnitude.

How far did the car travel before stopping after traveling 21 ms with a deer in the 90 meters away

We are not told if the car just reaches the deer, or gets to some other distance before or past the deer. If it just reaches the deer, it traveled 90 metres of course. From the information supplied it doesn't matter where the deer was.

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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