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2 years ago

Find the best approximation of the surface area of this cylinder.

Mathematics

1 answer:

olga2289 [7]2 years ago

8 0

The main formula is A= 2pi r (H + r)
H= 9, and r= 11
so A= 2 *3.14*11* (9 + 11) = 1381.6 cm²
so the answer is <span>1380 cm2</span>

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Find the values of P for which the quadratic equation 4x²+px+3=0?

klasskru [66]

<h3><u>Correct Questions :- </u></h3>

Find the values of P for which the quadratic equation 4x²+px+3=0 , provided that roots are equal or discriminant is zero .

<h3><u>Solution</u>:- </h3>

Let us Consider a quadratic equation αx² + βx + c = 0, then nature of roots of quadratic equation depends upon Discriminant (D) of the quadratic equation.

For equal roots

D = 0

$\quad\green{ \underline { \boxed{ \sf{Discriminant, D = β² - 4αc}}}}$

So,

$\sf{ β² - 4αc = 0}$

Here,

α = 4
β = p
c = 3

Now,

$\begin{gathered}\implies\quad \sf p²- 4 \times 4 \times 3 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²- 48 =0 \end{gathered}$

$\begin{gathered}\implies\quad \sf p²=48\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{48}\end{gathered}$

$\begin{gathered}\implies\quad \sf p=±\sqrt{2 \times 2 \times 2 \times 2 \times 3} \end{gathered}$

$\begin{gathered}\implies\quad \sf p=± 2\times 2\sqrt{ 3 }\end{gathered}$

$\begin{gathered}\implies\quad \boxed{\sf{p=±4\sqrt{ 3 }}}\end{gathered}$

Thus, the values of P for which the quadratic equation 4x²+px+3=0 are-

4√3 and -4√3.

7 0

2 years ago

24 - 3 1/3<br> please help!!

strojnjashka [21]

20 and 2/3 is correct, I think

7 0

3 years ago

Read 2 more answers

Using rounding to estimate the solution to the problem. 538-714 Be sure to give the estimated solution, not the exact solution.

amid [387]

Answer:

1. -370

2. 70

3. 10.75

4. 6700

5. 37.26

Step-by-step explanation:

1. Estimating the solution means round the numbers to the nearest ten, then subtract the rounded numbers.

2. Same thing as #1

3. Using long division, it should be quite easy. If you need more evaluation, comment and I'll answer.

4. To the nearest hundred, you write the closest exact hundred. example: 8334 would be rounded to 8300.

5. To the nearest hundredth, you write the closest exact hundredth. example: 65.734 would be rounded to 65.73

Hope this helped, good luck!

5 0

3 years ago

HELP NEEDED PLEASE!

tigry1 [53]

Answer:

the answer is about 62

Step-by-step explanation:

3 0

3 years ago

For f(x) = 4x+1 and g(x)=x²-5, find (f-g)(x).

SSSSS [86.1K]

Answer: -x² + 4x + 6

Given:

f(x) = 4x + 1

g(x) = x² - 5

Solve:

= (f - g)(x)

= f(x) - g(x)

= 4x + 1 - (x² - 5)

= 4x + 1 - x² + 5

= -x² + 4x + 6

4 0

1 year ago

Read 2 more answers