Calculate the area of the following figure correct to 2 decimal places if can show or explain work

Answers

Answer 1

Answer: The way we approach a question like this, is by looking at what portion of the circle we actually have to calculate the area of. We know that a circle is a shape that goes 360 degrees around a point. Therefore we know that, for example, a semicircle, or half a circle, would cover half the amount of degrees. This is important, because as well as covering half the number of degrees, it also covers half the area. For the figure in your picture, we are told that the portion missing from the circle is 90 degrees (shown by the right angle symbol in the center).
this means that 90 degrees worth of the circle is missing, so if we do 360÷90, we find that the answer equals $(3)/(4)$ . This means that we are dealing with $(3)/(4)$ of a circle. So, we simply find the area of the circle normally, and then multiply by $(3)/(4)$ :
The formula for area of a circle is $\pi r^(2)$ , so in this case, it can be said to be $\pi (10^(2) )$ , which is equal to 314.15
Now we simply take that area and multiply it by the fraction we established earlier:
314.15 x $(3)/(4)$ = 235.61
Therefore the area of the figure is 235.61 $cm^(2)$
I hope this helped and please remember to try and not only understand the answer, but the maths that worked it out too :))

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The ice ages are an example of climate change.where else have you heard about climate change

Answers

Global warming is an example because the Earth is moving closer to the sun, so the earth is slowly getting hotter.

Final answer:

Climate change is a well-documented phenomenon that has occurred throughout Earth's history, including the ice ages.

Explanation:

Climate change is a well-documented phenomenon that has occurred throughout Earth's history. One example of climate change is the ice ages, which occurred periodically over the past half million years. During an ice age, the temperature in the Northern Hemisphere decreases, causing the growth of glaciers and ice sheets.

Learn more about climate change here:

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Help me please!!!!!!!

Answers

Your answer would be d because 3/4 is repeated 3 times

It is d because it matches up exactly to each of the repeating numbers and it shows teh correct amount of x's for each number

Quotient when 1,344 is divided by 7

Answers

the quotient would be 192

Your answer to the problem would be:

192

Hope I Helped You!!! :-)

Have A Good Day!!!

Equivalent ratios of 6:7

Answers

Answer:

12:14

18:21

24:28

30:35

And so on...

Step-by-step explanation:

Just imagine that the ratio is a fraction.

Now find the equivalent fraction.

If this doesn't help, then just multiply the same number to both sides.

Answer: 12:14

Step-by-step explanation:

Multiply both sides by 2

Help please picture attached

Answers

Hello!

The answer is: The third option, 0.

Why?

We are asked to find (f-g) evaluated in 144, so the definition states that:

$(f-g)(x)=f(x)-g(x)$

So,

$f(x)-g(x)=√(x) +12-2√(x)=-√(x) +12$

We must remember that evaluating a function means replacing the variable with the given value, for this case it's 144.

Then, evaluating:

$(f-g)(144)=-√(144)+12=-12+12=0$

Hence, if:

$(f-g)(144)=0$

The correct option is the third option, 0.

Have a nice day!

Answer:

Step-by-step explanation:

Substitute x = 144 into the expression for f(x) - g(x)

$√(144)$ + 12 - 2 $√(144)$

= 12 + 12 - (2 × 12)

= 12 + 12 - 24

= 0

Help me please help me please

Answers

The orange triangle's area is 30 because 1/2 times 6 times 10 is 30.The blue triangle's area is 30 because the right side is 6 for base because the orange triangle base is 6 and it aglines with the blue one so the right side blue triangle base is 6 times 10 times 1/2 equals 30 and the 2 left over for base of blue triangle's left side times 10 is 20 times 1/2 equals 10 so 10 plus 30 plus 30 equals 60 so your answer is 60.

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