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vovikov84 [41]
4 years ago
6

At the moment a hot iron rod is plunged into freezing water, the difference between the rod's and the

Mathematics
2 answers:
dimaraw [331]4 years ago
8 0

Answer:

D(t)=100(0.4)^t

Step-by-step explanation:

jonny [76]4 years ago
5 0

Answer:

<h2>The function is</h2><h2>D(t) = 100 \times( \frac{40}{100} )^{t}</h2>

Step-by-step explanation:

At t = 0 the difference is 100 degree celsius.

After one second the temperature difference will be 100 - \frac{100\times60}{100} = 100(1 - \frac{60}{100} )

After two second, the difference will be 100(1 - \frac{60}{100} )(1 - \frac{60}{100} ) = 100(1 - \frac{60}{100} )^{2}

Hence, it can be written that,

D(t) = 100 \times(1 - \frac{60}{100} )^{t} = 100 \times( \frac{40}{100} )^{t}

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What are the coordinates of the endpoints of the midsegment for △XYZ that is parallel to XZ⎯⎯⎯⎯⎯ ?
Ksenya-84 [330]

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Step-by-step explanation:

In a triangle the segment which joining the mid points of two sides:

  • Parallel to the 3rd side
  • Its length is equal half the length of the 3rd side
  • It's called the mid-segment of the triangle

In Δ XYZ

∵ Vertex X is (0 , 7)

∵ Vertex Y is (2 , 5)

∵ Vertex Z is (0 , 1)

∵ The mid-segment of Δ XYZ is parallel to XZ

- The mid-segment intersects the other two sides of the Δ

  at their mid-points

∴ The mid-segment intersects XY and YZ at their midpoints

∴ The endpoints of the mid-segment are the midpoints of

   XY and YZ

The mid point of a segments whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

∵ X = (0 , 7) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 7 and y_{2} = 5

∵ The mid point of XY = (\frac{0+2}{2},\frac{7+5}{2})

∴ The mid point of XY = (\frac{2}{2},\frac{12}{2})

∴ The mid point of XY = (1 , 6)

∵ Z = (0 , 1) and Y = (2 , 5)

∴ x_{1} = 0 and x_{2} = 2

∴ y_{1} = 1 and y_{2} = 5

∵ The mid point of ZY = (\frac{0+2}{2},\frac{1+5}{2})

∴ The mid point of ZY = (\frac{2}{2},\frac{6}{2})

∴ The mid point of ZY = (1 , 3)

∵ The endpoints of the mid-segment are the midpoints of

   XY and YZ

∴ The end points of the mid segments are (1 , 6) and (1 , 3)

The coordinates of the endpoints of the mid-segment of Δ XYZ that parallel to XZ are (1 , 6) and (1 , 3)

Learn more:

You can learn more about the mid-point in brainly.com/question/5223123

#LearnwithBrainly

7 0
3 years ago
The earth has a diameter of 7917.5 mi. What is the arc length of half the earth?
Serhud [2]

Answer:

Arc length is 12436.8m

Step-by-step explanation:

arc length  = \frac{M degree}{360degree} * πD

where M is the angle measure of the arc

and D is the diameter

considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees

\frac{180}{360} * π * 7917.5 = 12436.8m

5 0
3 years ago
Please help me with these two problems
vodka [1.7K]
First pic ; they are complementary angles , so C !!

second pic ; both angles are supplementary angles !! as sum is 180° !!
8 0
3 years ago
The point (12,5) is on the graph, what do the coordinates tell you about the water in the bucket?
denpristay [2]
I think it’s A but I’m not to sure
4 0
3 years ago
One plane can travel 30 miles per hour faster than another. one of them goes 185 miles in the same time it takes the other to go
ycow [4]
Plane #1 speed:  x mph
Plane #2 speed:  (x+30) mph

time = time becomes

170 mi        185 mi
---------- = --------------
      x             x+30

Solving for x, the speed of the slower plane, we get

170x + 5100 = 185 x
                                           5100
Then 15x = 5100, and x = ---------- (mi/hr) = 340 mph
                                              15

The slower plane flies at 340 mph, and the faster one at 370 mph.
6 0
3 years ago
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