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lozanna [386]
2 years ago
5

What is the area of this figure

Mathematics
2 answers:
notka56 [123]2 years ago
5 0

Answer

370.2 inches^2

Step-by-step explanation:

find the mass of the circle by taking the radius ( 9) square it and times it by pi then divide it by 2. Add that with the (27 times 18) divided by 2.

ivolga24 [154]2 years ago
3 0

Answer:

370.235 sq. inches

Step-by-step explanation:

  1. Area of the figure is equal to the area of the triangle plus the area of the semicircle
  2. The Area of the triangle = 1/2*base*height
  3. The base on the bottom is clearly 27
  4. The height is the same as the diameter of the circle, which is twice the radius, given to us as 9. Therefore, the diameter is 18.
  5. Thus we get A(triangle) = 1/2*27*18 = 243
  6. Now, the area of the semicircle = (pi*r^2)/2
  7. The radius is given as 9, and we get, (pi*9^2)/2 = 127.235
  8. The area of the figure is therefore, 243 + 127.235 = 370.235
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andrey2020 [161]

Answer:

The answer is 25\pi units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

4 0
3 years ago
If my friend and i went to get ice cream, I have $30 and each ice cream is $5. What equation would help me solve this? I need an
Anna35 [415]
<h3>Hello there!</h3>

Your question asks to make an equation with the information that was given.

<h3>Answer: y = -5x + 30</h3>

In order to make an equation for your question. We would be making an equation with the formula: y = mx + b.

Formula: y = mx + b

m = change

x = amount of ice cream

b = starting value

We would need to gather the key information from the question.

Key information:

You have $30

Each ice cream cost $5

With the information above, we can make an equation for the question.

What we know is that you started with $30, so that means that 30 would be your b value (starting value).

Your equation should look like this:

y = mx + 30

Now, we know that each ice cream cost $5, but since we're paying for the ice cream, we would subtract that from our starting value. This means that our change would be -5, since we are taking away $5 each time we buy ice cream.

Your equation should look like this:

y = -5x + 30

The equation above would be the equation for your question.

We would do nothing to x but just leave it as is, since we don't know how many ice creams you're going to buy.

y = -5x + 30 should be your FINAL answer.

<h3>I hope this helps!</h3><h3>Best regards, MasterInvestor</h3>
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