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oksian1 [2.3K]
3 years ago
5

Find the volume of the cylinder. Either enter an exact answer in terms π or use 3.14 for π

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

160π units³

Step-by-step explanation:

The volume (V) of a cylinder is calculated using the formula

V = πr²h ( r is the base radius and h the height )

here r = 4 and h = 10, thus

V = π × 4² × 10 = 160π units³ ← exact value

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(01.01)
Charra [1.4K]

Answer:

5x 1/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A cereal company makes a cereal from two ingredients: wheat and oats. Each ingredient provides two essential nutrients: vitamin
Nikitich [7]

Answer:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

                              Vitamin A        Vitamin B         Cost $/oz

Wheat  (x)                10.5                    2.4                   0.05          

Oats     (y)                 6                       1.8                    0.10          

Requirements           48 (mg)              20 (mg)

Requirements           1,693 (oz)           0,7054 (oz)

The problem is minimized z subject to two constraint

z  =  0.05*x  + 0.1*y   to minimize

Subject to:

Requirement  of  Vitamin A

10.5*x + 6 * y  ≥  48

Requirement  of  Vitamin B

2.4*x   + 1.8*y ≥  20

x≥0  y≥0

Using  the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

8 0
3 years ago
Justin and his friend Dan went to the movie. If they each bought popcorn for $4.25 and a soda for $2.25 what was their total bil
omeli [17]
2(4.25 + 2.25) = 2(6.50) = 13...this is the cost without the tax

13 + 0.05(13) = 13 + 0.65 = 13.65 <=== total with the sales tax added
5 0
4 years ago
Which of the expressions is rational
miv72 [106K]

Answer:

the third one

Step-by-step explanation:

the square root of 25 is 5. 5+2 = 7.

this is a rational number (the set of all integers and fractions).

the other 2 portions contain at least one element that is not rational. and so the sum with such a number is not rational.

45 and 7 are no square numbers, and therefore the square root of these numbers contains a neverending chain of digits after the decimal point without having any repeating pattern. these are real numbers but not rational numbers.

6 0
2 years ago
suppose you have a rectangle with a length 8 cm and width 3 cm. Now suppose the sides are doubled. Find the percent os increase
mr Goodwill [35]
The original perimeter is 22 cm.

If both sides are doubled, the length would be 16 cm and the width would be 6 cm.
The perimeter would be 44 cm.

22/44 is 50%.
3 0
3 years ago
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