There's a really easy way to convert any units to other units.

Right now, we have the fraction (4 miles) / (2 hours).

We want to find a fraction that's exactly equal to that one,
but has the units of (miles/minute) or maybe (feet/minute).

Just take the original fraction, and multiply it by some other
fractions.

Each fraction you multiply it by must have the value of ' 1 ' so
you don't change the value of the original fraction. But it can
have different units, that cancel with other units to eventually
give you the units you want.

(4 miles / 2 hours) times (1 hour / 60 minutes)

The second fraction is equal to ' 1 ', because the top and the bottom
have the same value ... 1 hour is the same thing as 60 minutes.

Multiply the fractions: (4 miles x 1 hour) / (2 hour x 60 minutes)

Now you can cancel 'hour' from the top and the bottom, and you have

   (4 miles x 1) / (2 x 60 minutes)

   = (4 miles) / (120 minutes)

   = (4 / 120) mile/minute = 0.0333... mile / minute .

Let's do it again, go a little farther, and get an answer that
might mean more and feel more like an answer.

   (4 miles) / (2 hours) x (5280 feet / mile) x (1 hour / 60 minutes)

The 2nd and 3rd fractions both have the value of ' 1 ', because
the top is equal to the bottom.

Multiply all three fractions:

   (4 miles x 5280 feet x 1 hour) / (2 hours x 1 mile x 60 minutes)

You can cancel both 'mile' and 'hour' out of the top and bottom,
and look what you have left:

   (4 x 5280 feet x 1) / (2 x 1 x 60 minutes)

= (4 x 5280) / (2 x 60) feet / minutes

= (21,120 / 120) feet/minute =    176 feet per minute

3 0

2 years ago

Read 2 more answers

Find the lengths of the legs. <br> (NO LINKS)

maks197457 [2]

Given:

The figure of a right angle triangle with hypotenuse 10 and two angles $45^\circ, 90^\circ$

To find:

The lengths of the legs.

Solution:

Two angles are given. By using the angle sum property, the third angle is:

Third angle = $180^\circ-45^\circ- 90^\circ$

= $45^\circ$

Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.

Let x be the lengths of both legs. Then by using Pythagoras theorem, we get

$Hypotenuse^2=leg_1^2+leg_2^2$

$(10)^2=x^2+x^2$

$100=2x^2$

$\dfrac{100}{2}=x^2$

$50=x^2$

Taking square root on both sides, we get

$\pm \sqrt{50}=x$

$\pm 5\sqrt{2}=x$

The side length cannot be negative. So, the only value of x is $5\sqrt{2}$ .

Therefore, the length of the both legs is $5\sqrt{2}$ units.

7 0

2 years ago

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

SashulF [63]

Divide each number by the previous number. You always get -3.
The pattern is to multiply a number by -3 to get the next number.
The next two numbers are -243, 729

3 0

2 years ago

In order to solve the following system of equations we add :

vlabodo [156]

False, you want to subtract in order to get rid of the 2x in both equations

5 0

2 years ago