Answer: Yes
Explanation: a statement that the values of two mathematical expressions are equal (indicated by the sign =).
Two values (6 and 3) are being brought together for another value represented by the = symbol making this an equation
Answer:
Length of MN = 65.68 feet (Approx.)
Step-by-step explanation:
Given:
Height of NO = 60 feet
Angle ∠M = 66°
Find:
The length of MN
Computation:
Given triangle is a right angled triangle
So,
NO is a perpendicular
MN is hypotenuse
Using trigonometry functions
Sin θ = Perpendicular / Hypotenuse
Sin 66 = NO / MN
0.9135 = 60 / Length of MN
Length of MN = 60 / 0.9135
Length of MN = 65.68 feet (Approx.)
Let the width be w.
The length is 5 yd less than twice the width, so the length is 2w - 5.
The area is LW, and the area is 52 yd^2
LW = A
(2w - 5)(w) = 52
2w^2 - 5w = 52
2w^2 - 5w - 52 = 0
2w^2 - 13w + 8w - 52 = 0
w(2w - 13) + 4(2w - 13) = 0
(2w - 13)(w + 4) = 0
2w - 13 = 0 or w + 4 = 0
2w = 13 or w = -4
w = 6.5 or w = -4
Since a width cannot be a negative number, discard the solution w = -4.
The width is 6.5 yd.
The length is 2w - 5 = 2(6.5) - 5 = 13 - 8 = 8
The length is 8 yd.
The length is 8 yd, and the width is 6.5 yd.
