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Ede4ka [16]
2 years ago
9

An hourglass consists of two sets of congruent composite figures on either end. Each composite figure is made up of a cone and a

cylinder, as shown below: Hourglass with sand measuring 45 millimeters high © 2011 Jupiterimages Corporation Each cone of the hourglass has a height of 15 millimeters. The total height of the sand within the top portion of the hourglass is 45 millimeters. The radius of both cylinder and cone is 6 millimeters. Sand drips from the top of the hourglass to the bottom at a rate of 10π cubic millimeters per second. How many seconds will it take until all of the sand has dripped to the bottom of the hourglass? (4 points) Select one: a. 126 b. 108 c. 18 d. 29
Mathematics
1 answer:
VMariaS [17]2 years ago
3 0

Answer:

126

Step-by-step explanation:

Total volume of sand = pi/3*(6^2)*(15) + pi*(6)^2*(30) = 1260*pi mm^3

So it will therefore take 1260*pi/10*pi = 126 seconds for all of the sand from the top hourglass to drip down to the bottom hourglass.

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This pattern follows the rule divide by 3, then add 7. What are the next two numbers?
umka21 [38]

Answer:

21, 14

Step-by-step explanation:

by dividing 3 from 42 you get 14, and by adding 7 you get 21. And finally by devifing 3 from 21 you get 7 and by adding 7 to 7 you get 14.

5 0
2 years ago
Read 2 more answers
-10(10x-12)=-9(-9x-2)-5
Viefleur [7K]

10(10x−12)=−9(−9x−2)−5
Step 1: Simplify both sides of the equation.
−10(10x−12)=−9(−9x−2)−5
(−10)(10x)+(−10)(−12)=(−9)(−9x)+(−9)(−2)+−5(Distribute)
−100x+120=81x+18+−5
−100x+120=(81x)+(18+−5)(Combine Like Terms)
−100x+120=81x+13
−100x+120=81x+13
Step 2: Subtract 81x from both sides.
−100x+120−81x=81x+13−81x
−181x+120=13
Step 3: Subtract 120 from both sides.
−181x+120−120=13−120
−181x=−107
Step 4: Divide both sides by -181.
−181x
−181
=
−107
−181
x=
107
181
Answer:
x=
107
181

7 0
3 years ago
Read 2 more answers
Question 1(Multiple Choice Worth 1 points)
Stolb23 [73]

so, they already used 4,885.78 this month, but whatever all five family members can use total for a month is 7,250.50, so since they already used 4,885.78, they have left 7,250.50 - 4,885.78 = 2364.72.

\bf \begin{array}{lllllll} \textit{amount all five}&&\textit{amount they}&\textit{must be}&\textit{amount allowed}\\ \textit{members can use}&&\textit{already used}&\textit{equals or less}&\textit{per month}\\\\ 5x&+&4,885.78&\leqslant&7,250.50 \end{array}

4 0
3 years ago
Read 2 more answers
Over 182 days of school each, school day last 7 hour how many hours are the students in school. thank you​
adelina 88 [10]

The students spend 1274 hours in school.

<h3>How to determine the number</h3>

From the information given, we have that:

  • There are 182 school days
  • Each school days take 7 hours

We can then say that, if takes 7 hours for each school day and there are 182 days, then the hours students spent in school is;

= 182 days × 7 hours

Multiply through

= 1274 hours

The students are in school for 1274 hours.

Hence, the students spend 1274 hours in school.

Learn more about word problem here:

brainly.com/question/13818690

#SPJ1

7 0
1 year ago
Help please I'm to stupid for this​
tangare [24]

Answer:

X>0, so the second one

Step-by-step explanation:

Since the point on 0 is OPEN that means the number (0) is NOT part of the solution. Therefore, X is greater than 0.

4 0
2 years ago
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