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trapecia [35]
3 years ago
12

Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have

Mathematics
2 answers:
Talja [164]3 years ago
4 0

Answer:

<h3>#4</h3>

Let M is the midpoint of DE.

Since D is at 8 and DE = 5.

DM = ME = 5/2 = 2.5

<u>Point M is at:</u>

  • 8 + 2.5 = 10.5          if E is to the right of D
  • 8 - 2.5 = 5.5            if E is to the left of D
<h3>#5</h3>

<u>Given</u>

  • XY = 7,
  • YZ = 2x - 1,
  • XZ = 30

<u>Since XZ = XY + YZ, set up an equation and solve for x:</u>

  • 7 + (2x - 1) = 30
  • 2x + 6 = 30
  • 2x = 24
  • x = 12
<h3>#6</h3>

The distance from your house to friend's is LN.

<u>We have: </u>

  • M is midpoint of LN, so LM = MN
  • LM = 3x
  • MN = 2x + 2

<u>Set up an equation, solve for x:</u>

  • 3x = 2x + 2
  • 3x - 2x = 2
  • x = 2

<u>Find the distance LM:</u>

  • LM = 3*2 = 6

<u>Find the distance LN:</u>

  • LN = 2*LM = 2*6 = 12
alexandr402 [8]3 years ago
3 0

Answer:

Step-by-step explanation:

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3 years ago
8. A right cone has a volume of 8,579 m3 and a radius of 16 m. Find its altitude.
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Answer:

Option A is correct.

Step-by-step explanation:

The formula used for finding the volume of right cone is:

Volume of Right cone = (1/3)π.r².h

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Volume of cone=V = 8579 m^3

Radius=r = 16m

Altitude =h =?

Putting values,

8579 = (1/3) * 3.14 * (16)^2*h

8579 = 1/3 * 3.14 * 256 *h

8579 = 267.95 * h

=> h = 8579/267.95

h = 32.0 m

So, Altitude of right cone is 32.0 m

Option A is correct.

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