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Fofino [41]
2 years ago
11

FIND THE AREA OF THE SHADED REGION.

Mathematics
1 answer:
Nataly_w [17]2 years ago
4 0

This problem can be a bit confusing, so let's break it down:

First, let's take the area of the square (A = b · h):

A = 15 · 15

A = 225 cm²

Now comes the confusing part:

We can tell that the non-shaded area is 1/4 of a circle, so, if we take 1/4 of the area of a circle, we can subtract its area from the area of the square:

A = πr²

A = 15²π

A = 225π

1/4 A = 225π / 4

New Area = 56.25π

Or... about 176.7

Since we have both of the areas, all we have to do is subtract:

225 - 176.7 =

48.3.

Your final answer is 48.3 cm²

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\frac{ {x}^{2}  + 3}{ {x}^{2}  - 11x - 12}

Because which numbers will make the expessions undefined. We will focus on the denominator only.

Factor the terms.

(x - 12)(x + 1)

Now which 2 numbers that will make these terms become 0?

12 and - 1 of course.

So these 2 numbers that will make the expressions undefined are 12 and - 1

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picture?

Step-by-step explanation:

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90

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3 years ago
Camile is packing seeds to send to her mother in law. She estimates that she needs a box with a volume of at least 6,856 cubic i
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Step-by-step explanation:

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5 0
1 year ago
22. Use your model to determine when the volume of oil will get down to 500 gallons.
Helen [10]

Answer:

  21.  y = 75000·0.935^t

  22.  after 74.6 days

  23.  y = 27.8112·1.18832^t

  24.  18.8% per month

  25.  1748

Step-by-step explanation:

22. It is convenient to use the graphing calculator to solve this problem. The number of days is where the exponential curve has the value 500. It is about 74.55 days. (see the first attachment)

__

23. y = 27.8112·1.18832^t (see the second attachment)

__

24. The rate of change is the difference between the base of the exponential and 1, often expressed as a percentage. The time period is the units of t.

  (1.18832 -1) × 100% ≈ 18.8% . . . . per month

__

25. Evaluating the function for t=24 gives y ≈ 1748.30425259 ≈ 1748.

_____

<em>Comment on graphing calculator</em>

A graphing calculator can make very short work of problems like these. It is worthwhile to get to know how to use one well.

8 0
3 years ago
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