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Ket [755]
3 years ago
8

A tree struck by lightning broke at a point 12 feet above the ground. What was the height of the tree to the nearest tenth of a

foot., 12 squared + 39 squared = ??
Mathematics
1 answer:
algol133 years ago
7 0

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

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Lins house is 315 metres from school

Step-by-step explanation:

It's simple, just do 450-135.

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Step-by-step explanation:

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Answers:

  • (a) LN
  • (b) PHJ
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===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

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

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

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Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

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Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

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In order for the parallelogram to have positive dimensions, the value of x must be 3. So, the base and height are ...

  base = 2(3) +1 = 7

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9 less than a number r is 15
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