Set up a proportion and solve: Marlon spent $18 for 12 gallons of

the perimeter of a semicircle is 108 cm what is the perimeter of the square drawn on the diameter of the semicircle

Andreas93 [3]

Answer:

Step-by-step explanation:

the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.

They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.

We should recall:

diameter = 2 times the radius circumference of a cirlce = 2π r

How do we find the diameter of the of the semi circle?

The perimeter of the semi circle is given as 108 cm

Perimeter of the semicirle = 2r + π r diameter plus semi circumference

108 = r ( 2 + π) factor out the r and solve for r

108 / (2 + π) = r divide both sides by ( 2 + r)

Now we know r, the perimeter of the squqre is 4 times 2r or 8r

perimeter of square = 8 [ 108 / (2 + π) ] π I used 3.14

= 864 / 5.14

= 168.1 cm I got rounded to nearest tenth

<em>When I re-checked by work I found a few math, logic and calculation errors. Please re-check my answer for any more mistakes.</em>

4 0

3 years ago

See attachment the problem can be found in there

zloy xaker [14]

Answer:

$\frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )}$

Step-by-step explanation:

$\frac{5}{6 {x}^{2} + 9x} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5}{3x(2 {x} + 3)} + \frac{1}{2x - 3} - \frac{2}{3x} \\ \\ = \frac{5(2x - 3) + 1 \times 3x(2x + 3)}{3x(2 {x} + 3)(2x - 3)} - \frac{2}{3x} \\ \\ = \frac{10x - 15 + 6 {x}^{2} + 9x}{3x((2 {x} ) ^{2} - {3}^{2} )} - \frac{2}{3x} \\ \\ = \frac{6 {x}^{2} + 19x - 15}{3x(4x^{2} - 9 )} - \frac{2}{3x} \\ \\ = \frac{3x(6 {x}^{2} + 19x - 15) - 2 \times 3x(4x^{2} - 9 )}{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{18{x}^{3} + 57 {x}^{2} - 45x - 24x^{3} + 54x }{3x(4x^{2} - 9 ) \times 3x} \\ \\ = \frac{ - 6 {x}^{3} + 57 {x}^{2} + 9x }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ = \frac{ 3x(- 2 {x}^{2} + 19x + 3) }{9 {x}^{2} (4x^{2} - 9 )} \\ \\ \huge \orange{ \boxed{= \frac{ - 2 {x}^{2} + 19x + 3 }{3 {x} (4x^{2} - 9 )} }}$

7 0

3 years ago

19 dozen cookies to individual cookies

Art [367]

Answer:

228 individual cookies.

Step-by-step explanation:

To convert 19 dozen cookies to individual cookies, we first have to identify that:

$dozen=12$

If a dozen is equal to 12, to solve, we simply must multiply the amount of dozens, which is 19, by a dozen, which is 12:

$19*12=$

$228$

Therefore, there are 228 individual cookies.

-

We can check our work by dividing the individual number of cookies, 228, by dividing buy the amount of dozens, 19, and a dozen, 12:

$228$ ÷ $19=12$

$228$ ÷ $12=19$

As you can see, our quotients are the two figures we started with, and when multiplied together, give us 228 individual cookies; therefore, our solution is correct!

8 0

3 years ago

5-x = 12<br> What is the answer?

madam [21]

Answer:

-7

Step-by-step explanation:

5-x=12 subtract 5 from both sides to get x alone

-x=7 divide both sides by -1 so that x is positive

x=-7

6 0

3 years ago

Read 2 more answers

CAN SOMEONE HELP WITH THIS?????????????????

Korvikt [17]

Answer:

f(t) = no of bacteria

f(t) = 1900(1.042)^t

Step-by-step explanation:

5 0

4 years ago