Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
The exercise is basiacally asking for the perimeter of the garden. The perimeter of a rectangle is twice the sum of its dimensions, so we have
The formula for the area of a triangle is
1/2 b•h
Let’s plug in our values !
1/2 (30•75)
1/2 • 2,250 = ?
2,250/2 = 1,125
The area of the triangle is 1,125 cm^2
I hope I helped !
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