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3 years ago

Find the surface area of the cylinder. Round your answer to the nearest hundredth.

Mathematics

1 answer:

timama [110]3 years ago

8 0

Surface area=area around+2(cap)
area around =circumference times height=2*pi*6*15.1=569.257
caparea=circle area=pi*r^2=3.14*6^2=113.097
we need twice of that so 226.195
total surface area=569.257+226.195=795.451 square inches
answer is C

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My attempts at solving this integral keep failing... I'd really appreciate some help :)

inysia [295]

$\bf \displaystyle \int \cfrac{csc^2(x)}{1+cot(x)}\cdot dx\\\\
-----------------------------\\\\
u=1+cot(x)\implies \cfrac{du}{dx}=-csc^2(x)\implies \cfrac{du}{-csc^2(x)}=dx\\\\
-----------------------------\\\\
\displaystyle \int\cfrac{csc^2(x)}{u}\cdot \cfrac{du}{-csc^2(x)}\implies -\int \cfrac{1}{u}\cdot du
\\\\\\
-ln|u|+C\implies -ln|1+cot(x)|+C$

5 0

3 years ago

In brianna's homeroom class, 9% of the students were born in march and 40% of the students have a blood type of o+.

Firlakuza [10]

Answer:

3.6%

Step-by-step explanation:

Because the two events are independent, their probabilities are multiplied, so the probability of a student being born in March and having a blood type of O+ is 9% * 40% = 0.09 * 0.40 = 0.036 = 3.6%

3 0

1 year ago

What solution is y=9x+35 y=-8/9x+4/5

Ainat [17]

Answer:

x=-1539/445, y=1724/445. (-1539/445, 1724/445).

Step-by-step explanation:

y=9x+35

y=-8/9x+4/5

-------------------

9x+35=-8/9x+4/5

9x-(-8/9x)=4/5-35

9x+8/9x=4/5-175/5

81/9x+8/9x=-171/5

89/9x=-171/5

x=(-171/5)/(89/9)

x=(-171/5)(9/89)

x=-1539/445

y=9(-1539/445)+35

y=1724/445

6 0

3 years ago

You get GPS units from two manufacturers, A and B. You get 43% of your units from A and 57% of your units from B. In the past, 2

defon

Answer:

0.5015 = 50.15% probability that it came from manufacturer A.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: From manufacturer A.

Probability a unit is defective:

2% of 43%(from manufacturer A)

1.5% of 57%(from manufacturer B). So

$P(A) = 0.02*0.43 + 0.015*0.57 = 0.01715$

Probability a unit is defective and from manufacturer A:

2% of 43%. So

$P(A \cap B) = 0.02*0.43 = 0.0086$

What is the probability that it came from manufacturer A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0086}{0.01715} = 0.5015$

0.5015 = 50.15% probability that it came from manufacturer A.

4 0

2 years ago

9. What is the Greatest Common Factor (GCF) of 9 and 12? * 108 о O 36 o 9 3

Simora [160]

Answer:

Step-by-step explanation:

We found the factors and prime factorization of 9 and 12. The biggest common factor number is the GCF number. So the greatest common factor 9 and 12 is 3.

Hope this helps!

6 0

3 years ago