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ryzh [129]
2 years ago
9

Please help , Take your time , ​

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0

Answer:

Step-by-step explanation:

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17 - 19 please and thank you!
Nataly [62]
The answer and equation is 17 - 19 = -2
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3 years ago
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Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be
m_a_m_a [10]

Answer:

6.82 mt^3/min

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

V=\frac{\pi R^2h}{3}

So, the volume of water when it is 1 meter high is

V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is 0.3071\;mt^3

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 mt^3/min

This speed equals the difference between the water being pumped and the water leaking,

So,  

<em>0.12 = Speed of water being pumped -6.8  </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 mt^3/min

8 0
2 years ago
The admission fee at a carnival is $5 for children and $8 for adults on Friday, 1250 people attended the carnival and $7300 was
ASHA 777 [7]

Answer:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

There were 900 children and 350 adults.

Step-by-step explanation:

Let the number of children at the carnival be c.

Let the number of adults at the carnival be a.

The admission fee at a carnival is $5 for children and $8 for adults on Friday.

1250 people attended the carnival and $7300 was collected. This means two things:

-> a + c = 1250 ____________ (1)

-> 8a + 5c = 7300 __________(2)

We now have a system of equations representing the problem.

To solve, make a subject of formula in (1):

a = 1250 - c _______(3)

Put (3) in (2):

8(1250 - c) + 5c = 7300

10000 - 8c + 5c = 7300

10000 - 7300 = 3c

3c = 2700

c = 2700 / 3 = 900

Put the value of c back in (3):

a = 1250 - 900 = 350

Therefore, there were 900 children and 350 adults at the carnival.

4 0
2 years ago
a triangle has sides with lengths of 5x, 15 and 17. the perimeter of the triangle is 45 meters. what is the value of x?
Artyom0805 [142]
The value of x
5x+15+17(sides)=45(perimeter of sides/sum of sides)
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The value of x is 2.6
6 0
2 years ago
Suppose you have been assigned to measure the height of the local water tower.
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The water tower is 62.8 meters tall :))
5 0
3 years ago
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