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1 year ago

A rainwater collection system uses a cylindrical storage tank with a diameter of

Mathematics

2 answers:

elixir [45]1 year ago

6 0

Answer:

157079.6

Step-by-step explanation the formula to find volume of a cylinder is pi radius squared(half of diameter) times height.

ozzi1 year ago

4 0

Answer:

157,080 cubic centimeters.

Step-by-step explanation:

We have been given that a rainwater collection system uses a cylindrical storage tank with a diameter of 50 centimeters and a height of 80 centimeters. We are asked to find the volume of water.

We know that volume of water will be equal to volume of tank. To find the volume of tank, we will use volume of cylinder formula.

$\text{Volume of cylinder}=\pi r^2h$ , where,

r = Radius of cylinder,

h = Height of cylinder.

We know that diameter is two times radius, so radius of cylinder would be half of 50 cm, that is 25 cm.

$\text{Volume of cylinder}=\pi (\text{25 cm})^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 625\text{ cm}^2\times \text{80 cm}$

$\text{Volume of cylinder}=\pi \times 50,000\text{ cm}^3$

$\text{Volume of cylinder}=157,079.632679\text{ cm}^3$

$\text{Volume of cylinder}\approx 157,080\text{ cm}^3$

Therefore, the volume of water is 157,080 cubic centimeters.

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Which of the following represents "The product of the abscissa and ordinate is ten"?

Ainat [17]

Hello,
if x represents the abscissa
and y the ordinate then
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2 years ago

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Ramona's backyard is fenced and represented by parallelogram YARD with measures in meters. She installed a 12-meters fence to se

Alisiya [41]

The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:

hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2

we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2

lets expand:
144 = x^2 + 225 - 30y + y^2

substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
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substitute in the fence equation:
x^2 = 81 - y^2
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1 year ago

Davison Electronics manufactures two LCD television monitors, identified as model A andmodel B. Each model has its lowest possib

shtirl [24]

The question is incomplete. The complete question is :

Davison Electronics manufactures two LCD television monitors, identified as model A and model B. Each model has its lowest possible production cost when produced on Davison’s new production line. However, the new production line does not have the capacity to handle the total production of both models. As a result, at least some of the production must be routed to a higher-cost, old production line. The following table shows the minimum production requirements for next month, the production line capacities in units per month, and the production cost per unit for each production line:

Production per unit Minimum production

Model New Line Old Line requirements

A $30 $50 50,000

B $25 $40 70,000

Production 80000 60000

line capacity.

Let

AN- Units of model A produced on the new production line

AO Units of model A produced on the old production line

BN Units of model B produced on the new production line

BO Units of model B produced on the old production line

Davison's objective is to determine the minimum cost production plan. The computer solution is shown in Figure 3.21.

a. Formulate the linear programming model for this problem using the following four constraints:

Constraint 1: Minimum production for model A

Constraint 2: Minimum production for model B

Constraint 3: Capacity of the new production line

Constraint 4: Capacity of the old production line

Solution :

<u>Linear programming model</u>:

Linear programming is defined as a mathematical model where the linear function is either minimize or maximize when they are subjected to some constraints.

The linear programming model is determined as follows :

Minimum : 30 AN + 50 AO + 25 BN + 40 BO

This is subject to the constraints as :

$AN+AO \geq 60,000$

$BN+BO \geq 70,000$

$AN+BN \leq 80,000$

$AO+BO \leq 60,000$

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https://brainly.in/question/15044395

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1 year ago

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

ratelena [41]

The answer to this question is B

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1 year ago

Alice and Bob each choose at random a number between zero and two. We assume a uniform probability law under which the probabili

Mnenie [13.5K]

Answer / Step-by-step explanation:

Before we start to answer this question, it would be nice to understand some basic definition and principles:

Random: This refers to an unpredictable pattern of arrangement. Without a specific aim or logical procedural pattern.

Uniform Probability distribution: This is a type of probability distribution in which the outcomes of distribution irrespective of the pattern or distance results in equally likely outcomes.

Uniform distribution is one of the widely used distributions although it's one of the simplest ones. The idea behind this distribution is that, unlike the other distributions, the likelihood of the any outcome in the distribution range is the same.

Now that we have a brief knowledge of the key terms within the question, hence, to start answering the question,

(a) Starting with 0 for Alice, Bob can choose any number starting from 1 / 3 . As Alice increases, Bob has to increase his starting point as well. Therefore, after Alice passes 1 / 3 , Bob can start choosing numbers from 0. This creates 2 triangles with sides 1 / 3 . The area of them gives us the probability.

Therefore, : P = 2 ( 1/3 1/3 1/3)

= 4/9

(b) We can find the probability of having both the numbers less than 1 / 3 . Then we subtract this probability from 1.

We have: P = 1 - 1/3 . 1/3

= 8/9

(c) This is basically impossible as the area of a dot is negligible.

(d) It means that Alice needs to select a number between 1 / 3 and 1.

Therefore: P = 1 - 1 /3

= 2 / 3

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2 years ago