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2 years ago

Related Rates

Mathematics

1 answer:

Whitepunk [10]2 years ago

4 0

Answer:

0.382 m/min
8 1/3 ft/s

Step-by-step explanation:

1. The rate of change of volume is ...

V = πr^2h

V' = πr^2h'

h' = V'/(πr^2) = (3 m^3/min)/(π(5 m)^2) = 0.12/π m/min

h' ≈ 0.382 m/min

2. In the attached, ∆PCM ~ ∆MXS, so we can write the proportion ...

x/9 = s/15 . . . . where x = BX and s = BS in the diagram

Multiplying by 15 gives ...

s = (15/9)x = (5/3)x

Then the rate of change is ...

s' = (5/3)x' = (5/3)(5 ft/s)

s' = 8 1/3 ft/s

The tip of the shadow is moving at 8 1/3 feet per second.

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If 8 feet of fencing costs $12.40 , how much does 36 feet of fencing cost?

Vesnalui [34]

Answer:

$55.80

Step-by-step explanation:

8, 16, 24, 32, 36

8=12.40, 16=24.80, 24=37.2, 32=49.6,

+4 makes it 36 so it's have of 8, so add 6.20 to the end and it's 55.80

6 0

2 years ago

A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55%

tester [92]

Answer:

the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is 100 litres

x+y =100 ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40 litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40 litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

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3 years ago

Picture of female reproducitve part

Sophie [7]

I don’t understand this question

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2 years ago

Can someone please help me with math.

makvit [3.9K]

Answer:

5. B) 55

6. D) 15

Step-by-step explanation:

One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.

90 + x + 35 = 180

Simplify,

125 + x = 180

Inverse operations,

x = 55

This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

$a^2+b^2=c^2$