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Tju [1.3M]
3 years ago
12

Container A is cylinder with a radius of 6 units and a height of 6 units. A right cone has been carved from its base and has a h

eight of 6 units. Container B has the same radius as container A. Which statement derives the formula to find the volume of container A?
1 over 3π(62)(6) − π(62)(6)
2[1 over 3π(62)(6) − π(62)(6)]
2[π(62)(6) − 1 over 3π(62)(6)]
π(62)(6) − 1 over 3π(62)(6)

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer:

V = π6²6 - (1/3)π6²6

Step-by-step explanation:

Volume of a cone is (1/3) that of a cylinder with the same radius and height.

Container A volume is the volume of a cylinder minus a cone.

V = πr²h - (1/3)πr²h

V = π6²6 - (1/3)π6²6

V = 144π units³

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Add the following fractions 2/10 + 6/10
zvonat [6]

Answer:

8/10

Step-by-step explanation:

add the numerator but keep the denominators the same

you could also simplify to 4/5

6 0
3 years ago
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If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0
2 years ago
Evaulate 4c^6 -[2p-5] if c =-1 and p=4
Sedbober [7]
The answer to the question is 1

6 0
3 years ago
Help ;-;........ ;v;
iragen [17]

Answer:

$163

Step-by-step explanation:

Bob worked 26 hours and earn $7 per hour. Multiply 26 with 7:

26 x 7 = 182

Bob made a total of $182 last month.

Bob then spent $19. Subtract 19 from the total earned:

182 - 19 = 163

Bob has $163 left.

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Andrews [41]

Answer:

D

Step-by-step explanation:

Let the total production order be X. The combined rate is thus x/36 orders per hour.

Now, we know that the three machines are working at the same constant rate. This means that individual rate for each of the machines will be x/36 divided by 3 and that gives x/108 per machine.

Now, we are having another machine coming at the same constant rate. This means we are adding an x/108 rate to the preexisting x/36.

The new total rate thus becomes x/108 + x/36 = 4x/108

Now we know that the total new rate is 4x/108. Since the total work doesn’t change and it is still x, the time taken to complete a work of x orders at a rate of 4x/108 order per hour would be x divided by 4x/108 and this is x * 108/4x = 108/4 = 27 hours

7 0
3 years ago
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