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yanalaym [24]
3 years ago
6

Kyle is 12 years older than Susan. Last year, he was twice as old as Susan.

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0

Answer:

13 and 25

Step-by-step explanation:

um so dont hold me to this, but if he's twelve years older than susan she would've been twelve and he would've been 24 last year.

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8 A clock in the shape of an hour glass is made up of two identical cones
ra1l [238]

Answer:

The two cones are aligned on edge to edge so that the total volume of the hourglass becomes 2∗13πr2h

Step-by-step explanation:

a) When the sand has y units left in the upper cone the height of the cone becomes y, the radius remains 1cm.Now let's take the right triangle In the upper coneAnd by similar triangles property we found that the radius of the cone in which the amount of sand is left is y3 unitsNow the volume of the sand in the remaining part of the upper cone isπy32y which gives πy327Now if we apply the same similar triangle property with the cone in the below we find that the radius of the part it has filled up remains the same as y3unitsSo the volume it has filled is (3-y) from the top cone which says that the volume filled on the bottom cone has a height of (3-y)So therefore the volume of the frustum which it has filled up isπ3h(R2+r2+rR) {Is the volume of the frustum with two radii r and R with a height h}i.eπ3(3−y)(12+(y/3)2+(y/3))So now the total volume of the hourglass in terms of y is π3(3−y)(12+(y/3)2+(y/3))+πy327b) The next question tells us that when the height of the sand in the below cone reaches up a height of h centimetreswhich is exactly 3-y in the previous questionso substituting y = h-3 in the previous question we'll find the volume of the hourglass in terms of hπ(h−3)327+π3(6−h)(12+((h−3)/3)2+((h−3)/3)) .c) Total volume of the hourglass isV=V1+V2⇒3π4=πy327+π−π27(3−h)3Putting h=1We have the value of y as⇒3π4=π27y3+π+π278..............(1)⇒y=(54)13Differentiating the first equation with respect to t we have0=π9y2dydt+π9(3−h)2dhdtPutting values that dydt=−0.14inches/sec at h =1 and for ⇒y=(54)13We have0=π9(54)132∗(−0.14)+π922dhdt⇒0.1956π9=4π9dhdt⇒dhdt=0.19564⇒dhdt=0.0489

4 0
1 year ago
Can anyone help me making sure if my answers is right. Thanks
dsp73
Number 12 is wrong, 13 is right, and I can't read number 1. Number 12 could be 3/6 or 5/6.
6 0
3 years ago
Please. help me solve. this !!!!! very hard. , explain. please
umka2103 [35]
102
the angles are alternate so they add up to 180
180-78=102

hope this helps :)
if you need me to explain more just let me know :)
6 0
3 years ago
Kendra was asked to find the number of students who planned to attend the evening symphony performance. She was told that 40 per
asambeis [7]

Answer:

Kendra should of divided by 2

Step-by-step explanation:

3 0
3 years ago
Micah is twice as old as Richard. Richard is four times as old as Ken. Ken is five years old. How old is Micah?
irinina [24]

Answer:

the answer is 40

Step-by-step explanation:

micah is 40

6 0
3 years ago
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