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AfilCa [17]
2 years ago
6

Please answer with clear instructions so that i can apply this to other questions

Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0
<h3>Answer:  115.74</h3>

=========================================================

Explanation:

The area of the square is 12*12 = 144 square cm since each side is 12 cm long.

If we were to glue together all of those quarter-circle pieces, then we'd form a full circle of radius 3 cm. The area of that said circle is pi*r^2 = pi*3^2 = 9pi

The shaded area is therefore exactly 144-9pi square cm

Plug in pi = 3.14 to get the approximate value

144-9pi = 144-9*3.14 = 115.74

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Factor the greatest common factor from the polynomial 3x^2 + 6x -9
ryzh [129]

Answer:

3(x+3)(x -1)

Step-by-step explanation:

3x^2 + 6x -9

All the terms in this polynomial are divisible by 3. Factor 3 out of this polynomial:

= 3(x^2 + 2x -3)

Now, factor inside the parentheses by grouping:

= 3(x^2 -1x+3x -3)

We knew to split the +2x up into -1x and 3x because -1 and 3 multiply to get -3, which is the last value in the polynomial.

= 3(x(x -1)+3(x -1))\\= 3(x+3)(x -1)

Therefore, the final factored polynomial is 3(x+3)(x -1).

4 0
2 years ago
Two pens are selected at random from a pen stand containing three blue and two black pens. The table and the relative-frequency
HACTEHA [7]
The probabilty of picking a blue pen is one higher than picking a black pen 
3 0
4 years ago
Solve for xx. Round to the nearest tenth, if necessary.
jasenka [17]

Step-by-step explanation:

S+T+U=180°{sum of angle of triangle}

  • 68°+90°+U=180°
  • U=180-158°
  • U=22°

sin theta= p/h

sin22°=x/83

o.37=x/83

x=0.37×83

x=30.71

x=31

stay safe healthy and happy.

6 0
3 years ago
Use the quotient rule to prove that the power rule is valid for negative whole number powers.​
-BARSIC- [3]

Answer:

ddx(x−m)=−mx−m−1

That is, ddx(x−m)=−mx−m−1. where m is a positive integer.

6 0
2 years ago
Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the measure of P to the nearest whole degree? 35° 52° 57° 72°
Ymorist [56]

Answer: 57°

Given : In triangle PQR, the side PQ is 17, QR is 15, and PR is 14.

We use law of cosine formula

QR^2 = PR^2 + PQ^2 - 2* PR * PQ * cos (P)

15^2 = 14^2 + 17^2 - 2*14 * 17 * cos(P)

225 = 196 + 289 - 476 cos(P)

225 = 485 - 476 cos (P)

Subtract 485 on both sides

-260 = -476 cos(P)

\frac{260}{476} = cos(P)

P = cos^{-1} (\frac{260}{476})

P= 56.89202

So measure of angle P is 57 degrees


4 0
3 years ago
Read 2 more answers
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