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saveliy_v [14]
3 years ago
5

Need the answer please​

Mathematics
1 answer:
arsen [322]3 years ago
8 0

for blank 1 the answer is "slope" and for blank 2 the answer is y-intercept (slope intercept form is y=mx+b, m=slope and b=y-intercept).

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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
A triangle has a 90 degree angle and two sides that measure 5cm in length. Read the statements
mihalych1998 [28]

Answer:

Yes   (True)

Step-by-step explanation:

3 0
2 years ago
Plllzz hellpppp meeeee thhhhxx
Naddik [55]
Most likely it’s x=7 unless there are other options you didn’t show
6 0
3 years ago
Read 2 more answers
Which option best represents the Subtraction Property of Equality?
Nady [450]

Answer:

If a = b, then a - c = b - c

hope it helps

8 0
2 years ago
Read 2 more answers
How would i answer this?​
Lelu [443]

9514 1404 393

Answer:

  y = (x -1)² -16

Step-by-step explanation:

Note the location of the vertex (point A) on the graph. Its x-coordinate is readily identifiable as 1. Its y-coordinate is some value between -15 and -20, closer to -15. (If you go to the trouble of finding the vertex coordinates, you discover they are (1, -16).)

Once you have determined what the vertex is, you can compare the offered answer choices to the vertex form ...

  y = (x -h)² +k

where (h, k) are the vertex coordinates. That is, you are looking for an answer choice that is something like ...

  y = (x -1)² -16

3 0
2 years ago
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