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2 years ago

If the surface area of a cylinder is given by SA =

Mathematics

1 answer:

Mars2501 [29]2 years ago

7 0

Answer:

The height is 11/2

Step-by-step explanation:

We know SA = 30n

and r = 2

We are solving for h. So plug in our values

30n = 2n(2)^2 + 2n(2)h

Multiply and square on the right side terms

30n = 8n + 4nh

Divide everything by n

30 = 8 + 4h

Subtract 8 on both sides

22 = 4h

Divide by 4 on both sides

h = 22/4 = 11/2

Check:

30n = 2n(2)^2 + 2n(2)(11/2)

30n = 8n + 22n

30n = 30n

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Rewrite the equation in standard form by expanding it. <br> y= 3 (x+2)^2 - 4

morpeh [17]

Answer:

y = 3x^2 + 12x + 8

Step-by-step explanation:

To rewrite in standard from by expanding the equation using the distributive property.

y= 3 (x+2)^2 - 4

y = 3(x^2 + 4x + 4) - 4

y = 3x^2 + 12x + 12 - 4

y = 3x^2 + 12x + 8

4 0

2 years ago

What is the volume of the rectangular prism?3 1/2 mm 9 mm 8 1/2 mm

FinnZ [79.3K]

The dimension of the rectangle prism is : 3 1/2 mm , 9 mm and 8 1/2 mm

Express the mixed fraction into decimal :

$\begin{gathered} 3\frac{1}{2}=\frac{3\times2+1}{2} \\ 3\frac{1}{2}=\frac{7}{2} \\ 3\frac{1}{2}=3.5 \end{gathered}$ $\begin{gathered} 8\frac{1}{2}=\frac{8\times2+1}{2} \\ 8\frac{1}{2}=\frac{17}{2} \\ 8\frac{1}{2}=8.5 \end{gathered}$

So, the dimensions are : 3.5mm , 9mm & 8.5mm

Volume of the prism = Length x Breadth x Height

Susbtitute the value and simplify :

Volume of the prism = ( 3.5 x 9 x 8.5 ) mm

Volume of the prism = 267.75 mm

3 0

7 months ago

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$