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oksano4ka [1.4K]
3 years ago
6

A 50-ft cable is stretched from the top of an antenna to an anchor point on the ground 15ft. from the base of the antenna . How

tall is the antenna?
Mathematics
2 answers:
Effectus [21]3 years ago
8 0

50 ft. -15 ft. = 35 ft.  tall for the antenna Sounds like a trick question don't count the anchor point
Mariana [72]3 years ago
8 0
I do not believe the previous answer is correct. This is an a^2+b^2=c^2 problem. The 50 foot cable is the hypotnuse (c) and 15 foot gap is one of the sides (a). So take 15 and square it. Then square 50. You then should have 15^2+b^2=50^2. Subtract 15^2 to the right side, then square root the answer to get b, the height of the antenna.
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Answer:

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

Step-by-step explanation:

Let A represent snickers, B represent Twix and C represent Reese's Peanut Butter Cups.

Given;

N(A) = 150

N(B) = 204

N(C) = 206

N(A∩B) = 75

N(A∩C) = 100

N(B∩C) = 98

N(A∩B∩C) = 38

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How many students like Reese's Peanut Butter Cups or Snickers, but not Twix;

N(AUC∩B')

This can be derived by first finding;

N(AUC) = N(A) + N(C) - N(A∩C)

N(AUC) = 150+206-100 = 256

Also,

N(A∩B U B∩C) = N(A∩B) + N(B∩C) - N(A∩B∩C) = 75 + 98 - 38 = 135

N(AUC∩B') = N(AUC) - N(A∩B U B∩C) = 256-135 = 121

N(AUC∩B') = 121

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is 121

See attached venn diagram for clarity.

The number of students that like Reese's Peanut Butter Cups or Snickers, but not Twix is the shaded part

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