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Anarel [89]
3 years ago
15

A can of beans has surface area 320cm squared . Its height is 14 cm. What is the radius of the circular​ top?

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Steps:

All cans take on the shape of a cylinder, unless you have seen interesting shape of cans like a starfish.

The formula for surface area of a cylinder is

 

SA = 2πr2 + 2πrh

 

where:

r = radius

h = height

 

Since we know the surface area and height, we can plug them in.  Note that we can factor out the 2π.  You will see why we factor out 2π rather than 2πr.

 

2π(r2 + (20)r) = 396

 

2π(r2 + 20r) = 396

 

 

Divide both sides of the equation by 2π to isolate the r terms.

 

r2 + 20r = 63.025    

 

 

Subtract 63.025 on both sides of the equation.

 

r2 + 20r - 63.025 = 0

 

 

Use the quadratic formula to solve for r:

 

r = (-b ± √(b2 - 4ac)) / 2a

 

where:

a = 1

b = 20

c = -63.025

 

Plug in these values into the formula.  You should get two solutions because of the plus/minus sign.  Accept the positive value of r.

Please mark brainliest

<em><u>Hope this helps.</u></em>

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The two algebraic fractions can be added or subtracted only if they have the common denominators. So when adding or subtracting algebraic fractions the first thing that must be done is to take the LCM of the denominators and convert the denominators to same expressions. Only after this step the fractions can be added or subtracted. If this step is not performed, the operations cannot be performed correctly. This concept is similar to the addition and subtraction of simple fractions. 
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Answer:

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Step-by-step explanation:

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Lillian multiplies two numbers as follows: A Times. B = C. Given that A has five significant figures and two decimal places and
marta [7]

The total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Given :

  • Lillian multiplies two numbers.
  • A has five significant figures and two decimal places and B has six significant figures and four decimal places.

The following steps can be used in order to determine the total number of significant figures of C:

Step 1 - According to the given data, 'A' has five significant figures and two decimal places and 'B' has six significant figures and four decimal places.

Step 2 - It is also given that C is equal to A times B.

Step 3 - So, the total number of significant figures in C is 5 because when the two numbers are multiplied then the result obtained has the least significant figure.

Therefore, the correct option is C).

For more information, refer to the link given below:

brainly.com/question/11904364

3 0
3 years ago
Please help me!!!!!!!!!!!!!!
OLga [1]

Answer:

  1. d, series and sequence diverge
  2. d, geometric/divergent
  3. c, e (geometric, |r|<1)

Step-by-step explanation:

<h3>1.</h3>

The sequence terms have a common difference of -5/8. That make it a non-trivial arithmetic sequence, so it diverges.

The series is the sum of terms of the sequence. Any non-trivial arithmetic series diverges.

(A "trivial" arithmetic series has a first term of 0 and a common difference of 0. It is the only kind of <em>arithmetic</em> series that doesn't diverge.)

__

<h3>2.</h3>

The terms of the series have a common ratio of -2. That makes it a geometric series. The ratio magnitude is greater than 1, so the series diverges.

__

<h3>3.</h3>

A sequence will converge only if the terms have a common difference of 0 or a common ratio with a magnitude less than 1. Of the offered choices, only C and E will converge:

  c. geometric, r = 3/5

  e. geometric, r = -1/6

_____

<em>Additional comment</em>

The convergence criteria stated for problem 3 applies only to arithmetic and geometric sequences. There are many other kinds of sequences that converge, but these are the kinds being considered in this problem set.

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