We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is $\frac{4}{3}$ × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.

Volume = $\frac{4}{3}$ × π × r³

→ Let's substitute in the values

Volume = $\frac{4}{3}$ × π × 6³

→ Simplify

Volume = $\frac{4}{3}$ × π × 216

→ Simplify further

Volume = 288π or 904.78

5 0

3 years ago

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Write these price increases in order from greatest to least<br> 2/3, 75%, 7 / 10, 62.5%, 0.5

In-s [12.5K]

Answer:

75, 7/10, 2/3, 62,5, .5

Step-by-step explanation:

75%=75%

7/10=70%

2/3=66.67%

62.5%=62.5%

.5=50%

5 0

3 years ago

What information do you need to write the equation of a transformed quadratic equation in vertex form

Mrac [35]

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

Step-by-step explanation:

6 0

3 years ago

How do you solve for X?<br> BD= 5x+3 AE= 4x+18

Kaylis [27]

Hope this helps :)))

6 0

3 years ago

A + 3 ≥ 2a. a ≤ -1b. a ≥ -1c. a ≥ 1d. a ≥ 5​

A + 3 ≥ 2a. a ≤ -1b. a ≥ -1c. a ≥ 1d. a ≥ 5