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lina2011 [118]
3 years ago
13

A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank c

an hold? Use ϖ to approximate the volume to the nearest hundredth.
Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer:

198.56m^{3

Step-by-step explanation:

To find the volume of a cylinder, you need to find the area of the cross-section (one of the circles on the side) and multiply it by the length.

Area of the circle = πr^{2} = π x (5.3/2) x (5.3/2) = π x 2.65 x 2.65 = 7.0225π

Volume of the cylinder = 7.0225π x 9 = 63.2025π = 198.56m^{3

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During a four-week period, you worked the following hours: Week 1- 36 3/8 hr; Week 2- 41 1/4 hr; Week 3- 40 1/2 hr; Week 4- 38 3
tankabanditka [31]
(36 3/8 + 41 1/4 + 40 1/2 + 38 3/8) / 4 = 

36 + 41 + 40 + 38 = 155
3/8 + 1/4 + 1/2 + 3/8 = 3/8 + 2/8 + 4/8 + 3/8 = 12/8 = 1 1/2
155 + 1 1/2 = 156 1/2

(156 1/2) / 4 = 
313/2 * 1/4 = 313/8 = 39 1/8 <===average is 39 1/8 per week

7 0
3 years ago
I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I
never [62]

Answer:

you are a square

Step-by-step explanation:

it says " i have 2 pairs of parallel sides and 4 right angles", and typically 4 right angles make a square

8 0
3 years ago
A triangular window pane has a base of 30 inches and a height of 24 inches.What is the area of the window pane?
densk [106]

54 or it 180 i got 54 by adding 30 and 24in and got 180 by multiplying

8 0
3 years ago
Read 2 more answers
What is the solution of 4x - 30 ≥ -3x + 12?
amid [387]
First, let's add 30 to both sides:
4x - 30 +30 ≥ -3x + 12+30


4x ≥ -3x + 42

Now, let's add 3x to both sides
4x +3x ≥ -3x+3x + 42
7x ≥ 42

Let's divide both by 7:

x ≥ 6




4 0
3 years ago
Read 2 more answers
Need HELP PLS PIC ATTACHED
Vera_Pavlovna [14]

Answer:

4x^{2}-13x+10

Step-by-step explanation:

(4x+5)(x-2)

Multiply each term in the first parenthesis by each term in the second (foil)

Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)

When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2

Step 2: Calculate product

4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like 4x^{2})

   4x^{2}+4x⋅-2-5x-5⋅-2

4x^{2}+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)

4x^{2}-8x-5x-5⋅-2

4x^{2}-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)

4x^{2}-8x-5x+10

Step 3: collect like terms

4x^{2}-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)

4x^{2}-13x+10 is the most simplified so it should be your final answer

4 0
1 year ago
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