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Fed [463]
3 years ago
10

Find the volume of the composite figure. Give your answer in terms of pi.

Mathematics
1 answer:
Sloan [31]3 years ago
7 0
Volume of cone= 1/3 πr²*h
15²=10²+h²
h²=15²-10²=125
h=√125
Volume of cone= 1/3 *π*100*√125=π/3*(100*5√5)=500π√5/3
Volume of sphere=4/3*π*r³=4/3*π*1000=4000π/3
Volume of half sphere=(4000π/3)/2=2000π/3
All Volume=500π√5/3+2000π/3

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VladimirAG [237]
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4 0
3 years ago
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy
kari74 [83]

Answer:

Notebook is $4

Thumb drive is $23

Step-by-step explanation:

Let notebooks be x and thumb drives be y

6x+7y=$185

14x+12y=$332

These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain

42x+49y=$1295

42x+36y=$996

Subtracting the third equation from the fourth

996-1295=-$299

(36-49)y=-23y

-23y=-$299

y=$299/13=$23

To get the value of x, we substitute the value of y into the first equation

6x+(7*23)=$185

6x=$185-$161

6x=$24

x=$4

Therefore, price of notebook is $4, price of thumb drive is $23

4 0
3 years ago
Solve the system by substitution 5x+3y=8 3x+y=8
Yakvenalex [24]
3x+y=8
y=8-3x

5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4

5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4

5x+3y=8
5(4)+3(-4)=8
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8=8
4 0
3 years ago
Sean bought a laptop and a printer. He sold both items for £1,500 getting £1,350 just for the laptop. Sean made a 24% profit on
vitfil [10]

Answer:

36

Step-by-step explanation:

Sean purchased a printer and laptop

He sold both for 1,500

He sold the laptop at 1,350

Therefore the cost of the printer can be calculated as follows

1500-1350

= 150

24/100×150

= 0.24×150

= 36

Henve the cost of the printer is £36

4 0
3 years ago
Help me with question 2 plss
stepladder [879]
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4 0
3 years ago
Read 2 more answers
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