The best way to solve this problem is using dimensional anaysis. First, we write out our starting units, that being 20km/1hr. We have to keep in mind that we want to change the kilometers to meters and the hours to minutes.

$\frac{20km}{1hr}$

We know that there are 1000 meters in 1 kilometer. We add this to the dimensional analysis as 1000m/1km. We write it as this because we want the kilometers to cancel each other out. We only want the meters.

$= \frac{20km}{1hr} *\frac{1000m}{1km} ...$

We also know that 1 hour is 60 minutes. We add this to the analysis as well so that the hours cancel each other.

$= \frac{20km}{1hr} *\frac{1000m}{1km} * \frac{1hr}{60min}$

We now solve this expression. Since both the kilometers and the hours cancel out, we have meters per minute as our unit. All that's left are the numbers.

= (20*1000*1)/(1*1*60) m/min

= 333.3 meters per minute

8 0

3 years ago

A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced, and another marble is drawn. Find t

PilotLPTM [1.2K]

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

So everything will be over 13.

Probability of a white marble being drawn --> $\frac{4}{13}$

Probability of a blue marble being drawn --> $\frac{3}{13}$

Probability of a red marble being drawn --> $\frac{6}{13}$

Now to find the probabilities of more than one being drawn, we can multiply.

Part a :

$\frac{6}{13}*\frac{6}{13}=\frac{36}{169}$

Part b :

$\frac{3}{13}*\frac{3}{13}=\frac{9}{169}$

Part c :

$\frac{6}{13}*\frac{3}{13}=\frac{18}{169}$

Part d :

$\frac{7}{13}*\frac{7}{13}=\frac{49}{169}$

5 0

3 years ago

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

Oksana_A [137]

The diagonal of a square forms two 45-45-90 triangles.

The ratios of the lengths of the sides of a 45-45-90 triangle are

$1~:~1~:~\sqrt{2}$

The hypotenuse is $\sqrt{2}$ times the length of the legs.

Each leg is the length of the hypotenuse divided by $\sqrt{2}$ .

$leg = \dfrac{34}{\sqrt{2}} = 24.0416$

$perimeter = 4 \times side$

$perimeter = 4 \times 24.0416$

$perimeter = 96.166$

Answer: he will need 96.2 ft of fencing.

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7 0

4 years ago