3 years ago

1. A rectangular garden has a perimeter of

Mathematics

1 answer:

antoniya [11.8K]3 years ago

6 0

Answer:

Length: 48

Width: 12

Step-by-step explanation:

Substition

l - 2w = 24

I = 60 - w

60 - w - 2w = 24

60 - 3w = 24

-3w = -36

w = 12

Substitute it into the equation to get the length.

l = 60 - 12

l = 48

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A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area

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3 years ago

An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each observe

Karolina [17]

See the attached figure to better understand the problem

we know that
PB+BQ=1000 ft------->PB=1000-BQ-------> equation 1

in the triangle PAB
tan 50=AB/PB----------> AB=PB*tan 50------> equation 2

in the triangle ABQ
tan 25=AB/BQ------> AB=BQ*tan 25-------> equation 3

equals equation 2 and equation 3
PB*tan 50=BQ*tan 25--------> equation 4

substitute equation 1 in equation 4

[1000-BQ]*tan 50=BQ*tan 25-----> 1000*tan 50-BQ*tan 50=BQ*tan 25
BQ*[tan 25+tan 50]=1000*tan 50-----> BQ=1000*tan 50/[tan 25+tan 50]
BQ=718.76 ft
PB=1000-718.76-----> PB=281.24 ft
AB=PB*tan 50-----> 281.24*tan 50------> 335.17 ft

the answer is
335.17 ft