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MrRissso [65]
4 years ago
11

I want to cover the curved surface of a cylinder with orange paper. My cylinder is 14” tall. The diameter is 3.5”. I have listed

the sizes of paper I have available. Which sheet of paper will cover the cylinder without overlapping?
A. 5”x14”

B. 1K4”x20”

C. 14”x30”

D. 11”x14”

Now I want to cover the lid and bottom of the cylinder with blank paper. I need to know the total area of the bases. What is the area of the bases rounded to the nearest inch ?

A 19”

B. 4”

C. 38”

D. 10”
Mathematics
1 answer:
Dominik [7]4 years ago
7 0
Circumference of the cylinder = 3.14 x 3.5 = 10.99 = 11 inches
 so D. 11 x 14 is correct for the first part

area of the top  =  PI x r^2 = 3.14 x 1.75^2 = 9.62 inches

top and bottom = 9.62 x 2 = 19.23 = A. 19 inches




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yanalaym [24]
Triangle = 3, Square = -1, Star = 5
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3 years ago
Factor the following polynomial completely.<br> 2x2 – 10x – 28
erastovalidia [21]

Answer:

2(x - 7)(x + 2)

Step-by-step explanation:

Given

2x² - 10x - 28 ← factor out 2 from each term

= 2(x² - 5x - 14) ← factor the quadratic

Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (- 5)

The factors are - 7 and + 2 , since

- 7 × 2 = - 14 and - 7 + 2 = - 5 , thus

x² - 5x - 14 = (x - 7)(x + 2) and

2x² - 10x - 28 = 2(x - 7)(x + 2)

5 0
4 years ago
Consider the following.f(x)=74 – x2Find the x-values at which f is not continuous. Which of the discontinuities are removable?
tensa zangetsu [6.8K]

Answer

given,

f(x) = 74 - x²

A function is continuous when it is differential at all the points.

f'(x) =\dfrac{d}{dx}(74-x^2)

f'(x) =- 2 x

so, the given function is continuous for all the value of x.

We should know that if a function is quadratic then it is differential at all the point.  And if it is differential then it is definitely continuous.

Hence, there is no discontinuous point present in the equation.

6 0
4 years ago
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
trapecia [35]

Answer:

25% increase

Step-by-step explanation:

5 0
3 years ago
How can I solve this question
Ne4ueva [31]
Plug in the values 1,4, and 9 into the equation one by one. Plug it in as the x value.

y=-1/2 times root 1 = -1/2
(x,y)=(1,-1/2)

y=-1/2 times root 4 = -1
(x,y)=(4,-1)

y=-1/2 times root 9 = -3/2
(x,y)=(9,-3/2)

6 0
3 years ago
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