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insens350 [35]
3 years ago
6

What is the total surace area of the cylinder? Write your answer as a polynomial in standard form.

Mathematics
2 answers:
FinnZ [79.3K]3 years ago
6 0
The surface area of a cylinder is given by A = 2πrh + 2πr^2. You're given the radius, r = x+2, and the height, h = x + 5. Plug them in and you're done.
exis [7]3 years ago
5 0
Please see the pic, I'd solved in it.

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Write an equation in point-slope form for the line that passes through the point with the given slope. point: (4,2) and m=3
jonny [76]

Answer:

y = 3x - 10

Step-by-step explanation:

4 0
3 years ago
The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it
tresset_1 [31]

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

  • a stretches the function vertically
  • b compresses or stretches it horizontally
  • c shifts the function left or right
  • d shifts the function up or down

Here a = 3 and c = 2.

So the new function is g(x) = 3 cos (x+2).

5 0
3 years ago
JL is a common tangent to circles M and K at point J. If angle MLK measures 61ᵒ, what is the length of radius MJ? Round to the n
Dvinal [7]
In the problem of insufficient data quantities. I can get a general  solution.We know that tangent to a circle is perpendicular to the radius at the point of tangency. It's mean that triangles LJM and LJK are rights.

Let angle JLK like X.

So, angle JLM=61-x.

And it's mean that by using right triangle trigonometry 

Radius MJ = LM*cos(61-X)
3 0
3 years ago
There is a bag filled with 5 blue and 6 red marbles.
Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0
2 years ago
3/8 rounded to the nearest thousand​
tresset_1 [31]

Answer:

0.38

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

3 / 8 = 0.375

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 375

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule II applies, so 3/8 (or 0.375) rounded to the nearest hundredth in decimal format is:

0.38

3 0
3 years ago
Read 2 more answers
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