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Free_Kalibri [48]
3 years ago
8

Find the surface area of a cylinder with a diameter of 10 and a height of 45. Use 3.14 for π. Round your answer to the nearest t

enth
Mathematics
1 answer:
Marina CMI [18]3 years ago
4 0
You can easily use online calculators for this.

Steps:
1) Find radius. 45 / 2 = 22.5
2) Substitute values (r) and (h) in the formula for surface area of a cylinder:
    SA = 2πr² + 2πrh
3) Solve the formula.

You should end up with 9542.59 units². This answer is using π.
To get the answer with (3.14), do the steps above.
    
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Write the explicit rule for the arithmetic sequence
blagie [28]
Given that:
a1=27, an=(an-1)+4
the second term will be:
a2=a1+4
a2=27+4=31
The explicit formula for arithmetic sequence is given by:
an=a+(n-1)d
where:
a= first term
d=common difference
n=nth term
from the information given:
a=27
d=31-27=4
thus the explicit formula will be:
an=27+(n-1)4
an=27+4n-4
an=23+4n

Answer: an=23+4n
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3 years ago
For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?​
ser-zykov [4K]

Answer:

\boxed{\sf k=6}

Step-by-step explanation:

\sf kx (x-2)+6=0

Expand brackets.

\sf kx^2 -2kx+6=0

This is in quadratic form.

\sf ax^2 +bx+c=0

Since this is for equal roots:

\sf b^2 -4ac=0

\sf a=k\\b=-2k\\c=6

\sf (-2k)^2 -4(k)(6)=0

\sf 4k^2-24k=0

\sf 4k(k-6)=0

\sf 4k=0\\k=0

\sf k-6=0\\k=6

Plug k as 0 to check.

\sf \sf 0x^2 -2(0)x+6=0\\6=0

False.

So that means k must equal 6.

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Given ,

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To meet its goal ,
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Answer:

Step-by-step explanation:

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