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3 years ago

Given a diameter of 24ft what is the exact area of the circle?

Mathematics

1 answer:

anyanavicka [17]3 years ago

8 0

Answer:

452.16

Step-by-step explanation:

$r = \frac{1}{2} \times 24 = 12 \\ \\ \pi \: {r}^{2} \\ = 3.14 \times 12 \times 12 \\ = 452.16$

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M – 2.3 – 0.7m = 1.6

posledela

Answer: m = 13 ;)

Step-by-step explanation:

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3 years ago

Which of the following statements is true?

boyakko [2]

Answer:

B) Aluminum and steel are good conductors of electricity.

Step-by-step explanation:

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3 years ago

At the city museum, child admission is $5.20 and adult admission is $9.90. On Wednesday, three times as many Adult tickets to ch

Karo-lina-s [1.5K]

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Adult=y
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3 years ago

The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square

Rina8888 [55]

Area = length *width
A = x²
3x² = (x+10)(x+12)
3x² = x²+10x+12x+120
3x² = x²+22x+120
3x²-3x² = x²+22x+120-3x²
0 = -2x²+22x+120
Factor to solve for x:
-2(x²-11x-60)
(x+4)(x-15)
x = -4 & x = 15 but we can't have a negative length so we eliminate 4. The length of the square is 15 cm.

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3 years ago

A mistake was made in mixing the lemonade—<br> PLEASE HELP!!

beks73 [17]

Answer:

Part A:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

$x = 8/3\ quarts\ of\ 100\%\ solution$

$y = 20/3\ quarts\ of\ 70\%\ solution$

Part B:

$x + y = 10$

$2x + 3y = 23$

$x = 7$ and $y = 3$

Step-by-step explanation:

Part A:

The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:

$4 + x = y$

$0.5*4 + 1*x = 0.7*y$

Using the value of y from the first equation in the second one, we have:

$2 + x = 0.7*(4 + x)$