Solve x2−4x−12=0 by completing the square. A x=−2 B x=−6 or x=2 C x=−2 or x=6 D x=−6

klio [65]

Answer:

18

Step-by-step explanation:

Total Surface Area of the Metal Sheet = $1000\:in^2$

Given a cylinder with diameter 3 Inch and height $4\frac{1}{4} in$

To determine how many whole cans can be made, the first step is to find the total surface area of each of the cylindrical can.

Total Surface Area of a cylinder = $2\pi r^2+2\pi rh$

Total Surface Area of each can

$2\pi r^2+2\pi rh=2\pi r(r+h)\\=2*1.5*\pi(1.5+4.25)\\=3\pi *5.75\\=17.25\pi \:in^2$

Number of Cans that can be Made

To determine this, we divide the total surface area of the metal sheet by the total surface area of each can.

Number of Cans=Total surface area of the metal sheet÷Total surface area of each can.

$=1000 \div 17.25\pi\\=18.45$

Therefore, the company can make 18 whole cans from each sheet of metal.

6 0

2 years ago

Tom [10]

The expected value of the game is $8.75.

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The expected value is the sum of each outcome multiplied by it's probability.
A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of spinning a 2 and a vowel is: $\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}$ .
Thus, $\frac{2}{32}$ probability of getting $50.

The probability of spinning 2 and a consonant is: $\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}$

The probability of spinning 1 and a vowel is: $\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}$ .
Thus, $\frac{6}{32}$ probability of getting $5.