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BaLLatris [955]
1 year ago
11

A container has the shape of an open right circular cone, as shown. The height of the container is 10 cm and the diameter of the

opening is 10 cm. water in the container is evaporating so that its depth h is changing at a constant rate of -3/10cm/hr. (v=1/3pir^2h). A) find the volume when h=5cm and B) fine the rate of change of the volume of water when h=5
Mathematics
1 answer:
SVETLANKA909090 [29]1 year ago
5 0
A) Volume = (1/12)pi*h^3, with height = 5cm. 

<span>b) You should be able to differentiate V = (1/12)pi*h^3 with respect to h, and you were given dh/dt = -0.3 cm/hr. 
</span>
does that make sense?
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Grace [21]
I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture. 

The hypotenuse is 9 cm. the angle is found by: 

the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60 

so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm. 

cos 60 = x/9 

9 cos 60 =x 
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x = 4.5 cm

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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3 0
1 year ago
Giuliana has 22 quarters and dollar coins worth a total of $10.75.
sertanlavr [38]
Use the letters q and d to represent # of quarters and # of dollars.

q + d = 22 coins.

$0.25q + $1.00d = $10.75        Mult. this by 100 to eliminate fractions:
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Subst. q = 22 - d into the 2nd equation:

25 (22  - d) + 100 d = 1075

550 - 25d + 100d = 1075
550 + 75d = 1075
           75 d = 525
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q + d = 22, so if d = 7, then q = 22-7, or q=15.

There are 15 quarters and 7 dimes.
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2 years ago
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8 0
2 years ago
How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?
Harlamova29_29 [7]
The answer
f(x) = 0.7(6)x = <span>f(x) = 0.7(6)^x, and  </span><span>g(x) = 0.7(6)–x= </span>g(x) = 0.7(6)^-x=1/<span>0.7(6)^x
so </span>
g(x) =1/<span>0.7(6)^x=1 /</span><span><span>f(x)

</span> the relationship between f and g are </span>g(x) =1 /<span>f(x) or </span><span>g(x) . <span>f(x) = 1</span> </span>






7 0
2 years ago
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A weatherman collected data on snow accumulation. A line of best fit was computed. The equation for the line is: y = 1.5x + 0.12
SVETLANKA909090 [29]

Answer:

5x-12=42 over 3 subtract that and you will get 1

Step-by-step explanation:

8 0
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