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2 years ago

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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Multiple the binomials (x+3)^2

maxonik [38]

Answer:

$=x^2+6x+9$

Step-by-step explanation:

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3 years ago

A study was done that looked at how much red meat people consumed and how long they lived. The correlation r was found to be 0.9

AVprozaik [17]

Answer:

False

Step-by-step explanation:

Since the correlation r was found to be 0.98 (a value closer to 1).

Let X =how much red meat people consumed

let Y = how long they lived.

where the x-values are the values of the deviations of co-ordinates X from Xₙ, their mean value and the y-values are the values of the deviations of co-ordinates Y from Yₙ, their mean value.

That is, x=(X−Xₙ) and y=(Y−Yₙ).

The results of this determination give values of r lying between +1 and −1, where;

+1 indicates perfect direct correlation,

−1 indicates perfect inverse correlation and

0 indicates that no correlation exists.

Between these values, the smaller the value of r, the less is the amount of correlation which exists.

Generally, values of r in the ranges 0.7 to 1 and −0.7 to −1 show that a fair amount of correlation exists.

therefore, it can be seen that there is a perfect relationship between the quantity eaten and how long the person live

But, the correlation does not consider those that does not consume meat, and it is very hard to determined the answer to the question.

the answer is false because there are other reasons that determined longevity of life apart from meat consumption.

3 0

3 years ago

A rectangle is 8 feet long.its width is represented by Seven plus x feet what expression

babunello [35]

Hi there! The answer is 56 + 8x square feet

The length of a rectangle is 8 feet.
The width of that rectangle is 7 + x feet.

We can find the area of the rectangle by using the formula A = L x W
(Area = Length x Width)

Filling in this formula gives us:
A = 8 (7 + x) = 56 + 8x square feet

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3 years ago

If waffles are $3 a piece, how much would it cost for 26 waffles?<br><br>

riadik2000 [5.3K]

It will cost atleast 78 dollars

8 0

2 years ago

Read 2 more answers

The sum of two numbers is -47 the difference is -39 find the numbers

mash [69]

Answer:

x = -43

y = -4

Step-by-step explanation:

In this question, you will have to find the value of x in terms of y using one of the equations and substituting the value in the other equation or vice versa.

Let's assume the numbers x and y, now we write the expressions.

x + y = -47

x - y = -39

Take the second equation and find x.

<u>Calculations:</u>

x - y = -39 (Add y on both sides)

x = -39 + y

Now that you got the value of x in terms of y, we can substitute.

<u>Calculations:</u>

(-39 + y ) + y = -47

2y - 39 = -47

2y = -8

y = -8/2 = -4

y = -4

Now that we got y, we can substitute that value in any of the equations to find x.

x - 4 = -47 or x + 4 = -39

x = -43

4 0

3 years ago

Read 2 more answers

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

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