3) Barbara can walk 3,200 meters in 24 minutes. How far can she walk in 3

Mathematics

1 answer:

slava [35]2 years ago

6 0

Answer:

400 meters

Step-by-step explanation:

We know that Barbara can walk 3,200 meters in 24 minutes . And are being asked to see how far she can walk in 3 minutes.

Create the unit rate. Since Barbara can walk 3,200 in 24 minutes and we're trying to figure out how many meters she walks in 3 mintues, make the meters "M"

$\frac{3200}{24} = \frac{M}{3}$

Let's do something that can make 24 mintues go to 3 minutes, this would be dividing 24 by 8, do the same with the numerator :

$\frac{3200/8}{24/8}$

$\frac{400}{3}$

Therefore Barbara can walk 400 meters in 3 minutes,

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You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices