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Arada [10]
2 years ago
6

An artist is creating a triangular sculpture and plans to balance the sculpture on a tripod. The tripod will be connected to a p

ivot point located at the centroid of the triangle A diagram of the triangular sculpture shown by A ABD was used to determine the location of the pivot point for the tripod. which will be at point G. The length of one median of the triangular sculpture DF s 60 feet What is the distance from one corner of the sculpture, at point D. to the pivot point of the tripod? Enter your answer by sang in the box​

Mathematics
1 answer:
Feliz [49]2 years ago
6 0

Answer: 40 feet

Step-by-step explanation:

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jeka57 [31]

Answer:

140

Step-by-step explanation:

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2 years ago
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows
never [62]

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

6 0
2 years ago
Help me please fast it’s due 8pm!
PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

you are adding 1 to the other side!

6 0
2 years ago
Select the multiplication sentence that applies the commutative property of multiplication to the example.
lakkis [162]

The correct answer is B


<h2><u>EXPLANATION</u></h2>

The commutative property of multiplication says that, if you are multiplying two numbers, the order of the multiplication does not matter. You will get the same result, no matter which one you bring first or second during the multiplication process.


That is, if <em>a </em>and <em>b</em> are two real numbers, then the commutative property of multiplication says that,


a\times b = b\times a


So for the above options,



6\times 4 = 4\times 6


24= 24


<em>Note that the numbers have not changed, so their values will not change also. </em>


We are NOT referring to a situation where the numbers will change whilst their values is still the same.


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3 years ago
What is the slope of the line that passes through the points (4,7) and (5,8) ?
Helen [10]

Answer: m= -1

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