Area of composite figures worksheet. How do you solve it. Step-By-Step

Mathematics

1 answer:

Grace [21]2 years ago

5 0

Answer:

The area of the combined figure is 49.8 cm

Step-by-step explanation:

We first see that there is a semicircle, which represents half of a full circle. We must find the area of such an entire circle, so we have to divide its entire area by two since only half of such an area is represented:

The area of a circle is given by:

In this case, the radius is given by half the base of the rectangle.

So much so that the radius of that radius is 2.5cm, we now consider the pi to be a constant measure of 3.14

Remember that we are only representing half of the circle, therefore, we must divide the area by two:

<h3>Ac/2 = 19.625 / 2 = 9.8 <em>(</em><em> </em><em>aproximate</em><em> </em><em>)</em></h3>

Now we proceed to find the area of the rectangle, whose height is 8 cm, and base equal to 5 cm.

Since the area of a rectangle is given by multiplying the base times the height, we have:

In this case the figure is complete, there is no need to divide.

To find the full area, we must add the area of the half circle more the area of the newly found rectangle:

<h3>Overall area = 9.8 cm + 40 cm = 49.8 cm</h3>

By so:

<h3>The area of the combined figure is 49.8 cm</h3>

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The relation R is shown below as a list of ordered

Dmitrij [34]

Answer:

(1, 4) and (1,3), because they have the same x-value

Step-by-step explanation:

For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.

In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.

Therefore, the relation is not a function anymore if both ordered pairs are included.

<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>

7 0

2 years ago

Sandra sells necklaces at a school craft fair. She uses the equation P= 7.5n - (2.25n + 15) to determine her total profit at th

gregori [183]

The way you find profit is to subtract the revenue and the cost
Profit = Revenue - Cost
The revenue is the amount of money coming in, the cost is the amount of money going out. The goal of course is to have the revenue larger than the cost so that the profit is positive.

So the equation given is
P = 7.5n - (2.25n+15)
and its in the form
P = R - C
where...
R = 7.5n is the revenue equation
C = 2.25n+15 is the cost equation

Focus on the revenue equation
R = 7.5n
which is the same as
R = 7.50*n

This tells us that Sandra pulls in a total of 7.50*n dollars where n is some positive whole number. It represents the number of necklaces sold. For example, if she sold n = 10 necklaces, then
R = 7.50*n
R = 7.50*10
R = 750
meaning that Sandra has made $750 in revenue

As you can see above, the revenue is computed by multiplying the price per necklace ($7.50) by the number of necklaces sold (n) to get R = 7.50*n

So that's why the answer is $7.50

Note: The 2.25 is part of the cost equation. This is known as the variable cost. It is the cost to make one necklace ignoring the fixed cost (eg: rent). The variable cost often doesn't stay the same, but algebra textbooks often simplify this aspect.

8 0

3 years ago

I need help :( this problem is very confusing

Sladkaya [172]

Answer:

Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD

Step-by-step explanation:

It's arithmetic b/c you're just adding 1

arithmetic

are the answers , the last one is b/c that's the common difference.

6 0

2 years ago