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Sati [7]
2 years ago
12

Claire is digging a hole for a fence post. So far, she has dug 2/3 of the hole in 1/2 of an hour. She continues to dig at the sa

me rate. How many minutes will it take her to dig the entire hole?
Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
4 0
Shr dug 2/3 for 30 minutes. So it takes her 15 minutes for 1/3. She needs to dig 15 more minutes. Her entire working time is 45 minutes.
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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

#SPJ4

3 0
1 year ago
What are the possible values of x in -11x^2 + 2x = 10?
vlabodo [156]
        -11x² + 2x = 10
-11x² + 2x - 10 = 10 - 10
-11x² + 2x - 10 = 0
x = <u>-(2) +/- √((2)² - 4(-11)(-10))</u>
                     2(-11)
x = <u>-2 +/- √(4 - 440)</u>
               -22
x = <u>-2 +/- √(-436)
</u>             -22<u>
</u>x = <u>-2 +/- 2i√(109)
</u>              -22
x = <u>-2 + 2i√(109</u>)        x = <u>-2 - 2i√(109)</u>
             -22                            -22
x = ¹/₁₁ - ¹/₁₁i√(109)    x = ¹/₁₁ + ¹/₁₁i√(109)
<u />
8 0
3 years ago
Please help me ive been stuck on this question for days! Thank you
Zielflug [23.3K]
Okay, so this is basically telling you that there is no solution. You don't have to worry about there being one. You just have to justify (or explain) why there isn't one.

Basically, neither y or x is equal to anything. You couldn't make x equal to a value in y because x and y are both together in the equation and equal to numbers. 

We can always move a factor to the other side. So,

x-2y= -8

Add 2y to the other side.

x= -8+2y

Now, plug in -8+2y as x.

3(-8+2y)- 6y=-12

-24+6y-6y= -12

The 6y's cancel out. So, we can't figure out what y is.

-24=-12 <- no y.

These two lines are 
parallel. They have direct proportion in each other. That is why there is no solution because the lines never cross. Parallel lines do not cross. 

I hope this helps! 
~kaikers


6 0
3 years ago
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