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Neko [114]
3 years ago
6

The height of a cylinder is twice its radius. A sphere whose radius is 2 inches less than the radius of the cylinder is carved o

ut of the cylinder. If the volume of the remaining portion of the cylinder is 214π cubic inches, which statements about the cylinder’s radius, x, are true?
The equation x3 + 12x2 − 24x − 305 = 0 can be used to find the cylinder’s radius.
The equation x3 + 12x2 − 24x − 336 = 0 can be used to find the cylinder’s radius.
The radius of the cylinder is 7 inches.
The radius of the cylinder is 6 inches.
The radius of the cylinder is 5 inches.
NextReset
Mathematics
1 answer:
ozzi3 years ago
5 0
Graphing it out yields the radius of the cylinder is 5 inches.
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You purchase 26 “parking hours” that you can use over the next month to park your food truck at the fair. Weekday hours costs $2
Oksanka [162]

Answer: 5

Step-by-step explanation:

weekday hours x*2

weekend hours y*10

x+y=26

2x+10y=220

----------------------

x=26-y

2(26-y)+10y=220

52-2y+10y=220

8y=220-52

8y=168

y=168/8

y=21

x=26-21=5

x=5

6 0
3 years ago
Hi, can someone help with these questions? Thanks in advance !!
andreev551 [17]
5: 25 degrees
8: 48 degrees

Still working on the other ones

Explanation
- for 5 we know that the straight line has a measurement of 180 degrees so we just add 125 and 30 to get 155 and 155 plus 25 is 180 degrees

- For 8 we know that the measurements of AED are 89 degrees and we know two other angles are 29 and 12 which make 41 if you add them and we know that 41 + 48= 89 which is what we wanted to get to
6 0
2 years ago
Read 2 more answers
A bakery can make 60 donuts in 15 donutes. What is the unit rate at which the bakery makes donuts.
maria [59]

Answer:

4 donuts per minute/(donutes is that a typo?)

Step-by-step explanation:

if a bakery can make 60 donuts in 15 minutes, that is 60 donuts/15 minutes.

to reduce this fraction, the top and bottom can be divided by 15 to get 4 donuts/1 minute.

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3 years ago
What is (2+y)³ written out?
Aleksandr-060686 [28]
{ \left( 2+y \right)  }^{ 3 }\\ \\ =\left( 2+y \right) \left( 2+y \right) \left( 2+y \right) \\ \\ =\left( 2+y \right) \left( 4+4y+{ y }^{ 2 } \right)

\\ \\ =2\left( 4+4y+{ y }^{ 2 } \right) +y\left( 4+4y+{ y }^{ 2 } \right) \\ \\ =8+8y+2{ y }^{ 2 }+4y+4{ y }^{ 2 }+{ y }^{ 3 }\\ \\ ={ y }^{ 3 }+6{ y }^{ 2 }+12y+8
5 0
3 years ago
Using your own words or illustrations, explain the addition rule for equations. (in other words, don't just restate the rule wor
Dmitriy789 [7]

Step-by-step explanation:

This rule states that the same value can be added to both sides of an equation without interfering with the solving process of the equation

4 0
3 years ago
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