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2 years ago

Area= Help me please!! Thanks :)

Mathematics

1 answer:

Savatey [412]2 years ago

8 0

Answer:

80π

Step-by-step explanation:

Circle O with radius IO:

large radius = IO = 12 = R

Circle O with diameter JK

IJ = JK = KL = 2 × IO = 24

IJ = JK = KL = 24/3 = 8

small radius = 8/2 = 4 = r

The shaded area is a semicircle of radius 12 minus a semicircle of radius 4 plus two semicircles of radius 4.

That is the same as

1 semicircle of radius 12 plus 1 semicircle of radius 4

A = πR²/2 + πr²/2

A = π(12² + 4²)/2

A = 160π/2

A = 80π

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3 years ago

Solve using elimination y = 5x+4 y = 2x+7 Show work plz

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Answer and Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

In the equation below, for what value of c does x = 4? 1 / (2x + 4) = 3x-c

rodikova [14]

Answer:

Option D.

Jenn's answer is not correct. She got it substituting $c=4$ into the equation and solving for "x".

Step-by-step explanation:

Given the following equation:

$\frac{1}{2}(2x + 4) = 3x-c$

Since you need that $x=4$ , you hace to substitute that value into the equation:

$\frac{1}{2}(2(4) + 4) = 3(4)-c$

Now you need to solve for "c":

$\frac{1}{2}(8 + 4) = 12-c\\\\\frac{12}{2}= 12-c\\\\6=12-c\\\\c+6=12\\\\c=12-6\\\\c=6$

Therefore for a a value of $c=6$ , you get $x=4$

Then, the you can identify that the correct answer is the one given in the Option D.

Jenn made a mistake, because she substituted $c=4$ into the equation and then solve for "x":

$\frac{1}{2}(2x + 4) = 3x-(4)\\\\x+2=3x-4\\\\2+4=3x-x\\\\6=2x\\\\\frac{6}{2}=x\\\\x=3$

3 0

3 years ago

A wire 27 ft long is cut into two pieces. Each piece is bent into the shape of a square. The perimeter of the larger square is t

Alexus [3.1K]

Answer:

Perimeter of the smaller square = 9 ft

Perimeter of the larger square = 18 ft

Step-by-step explanation:

Let

Perimeter of the smaller square = x

The perimeter of the larger square is twice the perimeter of the smaller square.

Perimeter of the larger square = 2x

Total Length of the piece of wire = 27 ft

Total = smaller + larger

27 = x + 2x

27 = 3x

x = 27/3

x = 9 ft

Perimeter of the smaller square = x

= 9 ft

Perimeter of the larger square = 2x

= 2(9)

= 18 ft

3 0

2 years ago