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Salsk061 [2.6K]
3 years ago
6

In ΔFGH, the measure of ∠H=90°, the measure of ∠F=60°, and HF = 60 feet. Find the length of GH to the nearest foot.

Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

104

Step-by-step explanation:

tan(60) = opposite/adjacent

tan(60) = X/60

X = 60×tan(60)

X = 103.9230484541

X = 104 (3 sf)

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The length of a rectangle is 3 times the width.If the length is decreased by 4 m and the width is increased by 1 m , the perimet
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Step-by-step explanation:

Consider the width to be x.

Then the length will be 3x.

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So the dimensions will become:

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Now solve for the variable x using the formula for perimeter of a rectangle:

P = 2(l+b)

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33 = 4x-3      (Add 3 to both sides)

36 = 4x        (Divide both sides by 4)

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6 0
3 years ago
A-One Talent Agency has 108 clients. 42 of the clients play piano and 51 of the clients play guitar.
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Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.

<u>Using a Venn diagram analogy</u> :

  • Total number of client, U = 108
  • Piano, P = 42
  • Guitar, G = 51
  • Piano and Guitar, (PnG) = 13
  • None =?

<u>From the information given</u> :

  • P only = 42 - 13 = 29
  • G only = 51 - 13 = 38

<u>The total number of clients can be related thus</u> :

  • Total = P only + G only + PnG + None

108 = 29 + 38 + 13 + None

108 = 80 + None

None = 108 - 80

None = 28

Therefore, the number of clients who do not play any of the instruments is 28

Learn more :brainly.com/question/12570490

7 0
2 years ago
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