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Jet001 [13]
3 years ago
12

Please help me!

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

  573.6 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship of right triangle sides and angles:

  Tan = Opposite/Adjacent

This tells us ...

  tan(61°) = (height)/(distance to first point)

or

  distance to first point = height/tan(61°)

Likewise, ...

  distance to second point = height/tan(32°)

Then the difference of the distances is ...

  distance to second point - distance to first point

     = height/tan(32°) -height/tan(61°)

  600 ft = height × (1/tan(32°) -1/tan(61°))

Dividing by the coefficient of height, we have ...

  height = (600 ft)/(1/tan(32°) -1/tan(61°)) ≈ (600 ft)/(1.04603) ≈ 573.6 ft

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3 years ago
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A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?
aliina [53]

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

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P = 9!

P = 9*8*7*6*5*4*3*2*1

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b) Boys must seat together, we have two groups of people

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P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

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P = 24*120

P = 2880 ways

4 0
3 years ago
What is the area of a regular nonagon (9 sides) with side length of 15 cm and apothem of 20.6 cm? Round the answer to the neares
Triss [41]
We know that

<span>The nine radii of a regular Nonagon divides into 9 congruent isosceles triangles
</span>therefore
[the area of <span>a regular nonagon]=9*[area of isosceles triangle]

</span>[area of isosceles triangle]=b*h/2------> 15*20.6/2----> 154.5 cm²
so
[the area of a regular nonagon]=9*[154.5]------> 1390.5 cm²

the answer is
1390.5 cm²

5 0
3 years ago
What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)
steposvetlana [31]

Answer:

the slope of the line is: 0

Step-by-step explanation:

4-4=0

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7 0
3 years ago
What is the length of a diagonal of a square with a side of 8
zhannawk [14.2K]

diagonal is sqrt of (s^2 x 2)


8^2 = 64

64*2 = 128

sqrt(128) = 11.3137

 round answer as needed

3 0
3 years ago
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