Answer:
64 cm^2
Step-by-step explanation:
Area of Shaded Region = Area of Parallelogram - Area of Rectangle
Area of Parallelogram = 10 * 7 = 70
Area of Rectangle = 2 * 3 = 6
70 - 6 = 64 cm^2
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
Learn more about trigonometry here : brainly.com/question/7331447
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Answer:
The answer would be 24 balloons in total.
Step-by-step explanation:
Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.
Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.
PROOF:
25% * 24 = 6
24 / 6 = 4
6 * 4 = 24
<h2>
Mark me Brainliest Please.</h2>
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
f(x) = 2x^3 + x^2 − 3x + 1
f'(x) = 6x^2 + 2x − 3
The slope at -2:
f'(-2) = 6(-2)^2 + 2(-2) − 3
f'(-2) = 24 + -4 − 3
f'(-2) = 17
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The slope at 0:
f'(0) = 6(0)^2 + 2(0) − 3
f'(0) = − 3
The average rate of change is (17+(-3))/2, or 14/2, or 7
