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lutik1710 [3]
3 years ago
9

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

slices will you be able to cut?

Mathematics
1 answer:
REY [17]3 years ago
7 0
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

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e-lub [12.9K]

It looks like your question is incomplete. I believe you also have options to pick which graph is correct. However, I can still give you the information you are looking for.

The slope of the line is -1.2

The Y-intersect is (0, 4)

I have also attached an image of what the graph would look like.

Hope this helps.

3 0
2 years ago
(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope
madreJ [45]
For this problem you are going to need to know the point-slope equation which is: 
y-y₁=m(x-x₁)

Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

It should look like this: y+1= \frac{4}{3}(x-9)
Since all they are asking for is for you to put it into a formula this will be your answer.
8 0
2 years ago
Stuffed animals each weighing 1 over 4 pound are on a scale. The scale shows 1 1 over 2 pounds. How many stuffed animals are on
Anna35 [415]

Answer:

6 stuffed animals

Step-by-step explanation:

if 1/4= 1 then 1x6= 1 1/2

4 0
3 years ago
A new club sent out 288 coupons to boost sales for next year's memberships. They provided 5 times as many to potential members t
Aliun [14]

Answer:

D. 48

Step-by-step explanation:

We don't know the numbers of coupons sent to existing members and to potential members, but we know a relationship between the number.

They sent 5 times as many coupons to potential members as they did to existing members.

Let x = number of coupons sent to existing members.

Then 5x = number of coupons sent to potential members.

The total number of coupons sent was x + 5x = 6x

The total number of coupons sent was 288.

Therefore, 6x must equal 288 giving us an equation with a single variable.

6x = 288

x = 48

Answer: 48

7 0
2 years ago
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
Tema [17]

For this case we have the following equation:

1 + 3x = -x + 4

We must solve the equation by following the steps below:

We subtract 1 from both sides of the equation:

3x = -x + 4-1

On the right side of the equation we have that different signs are subtracted and the sign of the major is placed:

3x = -x + 3

We add x to both sides of the equation:

3x + x = 3\\4x = 3

We divide between 4 on both sides of the equation:

x = \frac {3} {4}

Thus, the correct option is option B

Answer:

x = \frac {3} {4}

Option B

6 0
3 years ago
Read 2 more answers
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