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Rasek [7]
1 year ago
12

Determine the area of the shaded region. Pool Use 3 for

" alt="\pi" align="absmiddle" class="latex-formula">


​

Mathematics
1 answer:
Tasya [4]1 year ago
8 0

Answer:

36 sq in

Step-by-step explanation:

First find the area of the square: 12*12 = 144 in^2

next find the area of 1 circle, im assuming the circles are tangent to the sides of the square and to each other, so each circle has a radius of 12/4 or 3in, the area of each circle is then pi*3^2 or 27 in^2

the total area of the 4 circles is then 27*4 = 108in^2

144-108=36in^2

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Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets. E
nignag [31]
Rachel: 3 bracelets in an hour.
Oliver: 2 bracelets in an hour but has completed 5 bracelets

Rachel : y = 3x
Oliver : y = 2x + 5

Let x be the number of hours. y is the total number of bracelets made in x hours.

3x = 2x + 5
3x - 2x = 5
x = 5

It would take 5 hours for Rachel to have the same number of bracelet as Oliver.

Rachel: 3x = 3(5) = 15
Oliver: 2x + 5 = 2(5) + 5 = 10 + 5 = 15

6 0
3 years ago
Read 2 more answers
Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
beks73 [17]

You can check that the limit comes in an undefined form:

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)

and

\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}

So, we have

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)

6 0
3 years ago
Walter needs new grass in the circular pen for his chickens. The pen has 308 feet of fencing. What is the area of the pen?
ICE Princess25 [194]

Answer: 7546feet²

Step-by-step explanation:

Since the pen has 308 feet of fencing, this is the perimeter of the circular pen and we can get the raduus which goes thus:

Circumference of a circle = 2πr

2πr = 308

2 × 22/7 × r = 308

44/7 × r = 308

r = 308 × 7/44

r = 49

Therefore, area of the circular pen will be:

= πr²

= 22/7 × 49 × 49

= 7546feet²

3 0
2 years ago
The length of each side of a cube is x cm. If x is an interference,why can’t the volume of the cube equal 15 cm
slamgirl [31]

we don't know what the value of "X" is, so therefore, we cannot conclude that it is 15 cm.

5 0
2 years ago
How did you get it ?
kakasveta [241]

Answer:get what

Step-by-step explanation:

5 0
2 years ago
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