Length(l)= 2w
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
Answer:
The length of this rectangle is 24 units and the width is 12 units.
Answer:
1001 feet
Step-by-step explanation:
A triangle is formed where the points are the balloon, boat 1 and boat 2. We know the height of the triangle and the respective angles of each boat, if we cross a line just at the height of the balloon, two rectangular triangles are formed and we can calculate the distance from the ship to that point of height, the sum of these two distances, would be the distance between the two balloons.
To calculate this distance, we apply tangent of the angle:
tan ° A = opposite / adjacent
opposite is the height and adjacent the distance we want to find:
d1 = opposite / tan ° A
d1 = 300 / tan 40
d1 = 300 / 0.8390
d1 = 357.56
now for the other distance:
d2 = opposite / tan ° B
d2 = 300 / tan 25
d2 = 300 / 0.4663
d2 = 643.36
In other words, the distance between the boats is:
357.56 + 643.36 = 1000.92
Approximately 1001 feet
Answer:
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Step-by-step explanation:
