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maksim [4K]
2 years ago
11

Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified, exact value in terms o

f PI (no approximations). The figures are based on semicircles or quarter circles, and problems (b), (c), and (d) involve portions of a square. Calculate area and perimeter

Mathematics
1 answer:
Digiron [165]2 years ago
7 0

Check the picture below.

\stackrel{\textit{\Large Areas}}{\stackrel{triangle}{\cfrac{1}{2}(6)(6)}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}\pi (3)^2}}\implies \boxed{18+4.5\pi} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{pythagorean~theorem}{CA^2 = AB^2 + BC^2\implies} CA=\sqrt{AB^2 + BC^2} \\\\\\ CA=\sqrt{6^2+6^2}\implies CA=\sqrt{6^2(1+1)}\implies CA=6\sqrt{2} \\\\\\ \stackrel{\textit{\Large Perimeters}}{\stackrel{triangle}{(6+6\sqrt{2})}~~ + ~~\stackrel{semi-circle}{\cfrac{1}{2}2\pi (3)}}\implies \boxed{6+6\sqrt{2}+3\pi}

notice that for the perimeter we didn't include the segment BC, because the perimeter of a figure is simply the outer borders.

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If the fraction 408/x-10 is equivalent to -24 find the value of x
erik [133]

Answer:

Step-by-step explanation: yes it is that is how you do it

7 0
3 years ago
Determine whether the number could be the probability of an event. Explain your reasoning. -0.25
mr Goodwill [35]

yo sup??

The number can't be a probability of an event cause probability of an even lied between 0 and 1 whereas the number given to use is -0.25.

Since probability can't be negative therefore it isn't a probability of an event.

Hope this helps.

8 0
3 years ago
Find the slope of the line graphed below
Korolek [52]

Answer:

Slope = 1

Step-by-step explanation:

(x1, y1) = (-5, -3)

(x2, y2) = (-1, 1)

(y2 - y1) / (x2 - x1) = (1 - -3) / (-1 - -5) = 4 / 4 = 1

Slope = 1

4 0
2 years ago
WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
4 0
3 years ago
9.7q = 9.1q - 7.92<br> q =
AleksAgata [21]

Answer:

q = -13.2

Step-by-step explanation:

9.7q = 9.1q - 7.92

Subtract 9.1q from both sides.

0.6q = -7.92

Divide both sides by 0.6

q = -13.2

Double check your work.

9.7(-13.2) = 9.1(-13.2) - 7.92

-128.04 = -120.12 - 7.92

-128.04 = -128.04

5 0
3 years ago
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