The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
<h3>What is inequality?</h3>
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The given statement as:
⇒ -12 ≤ -15
Since -12 and -15 are not equal and -15 is smaller than -12, the preceding statement is incorrect.
So the following statements are correct:
It is a false statement because -12 is not equal to -15.
It is a false statement because -15 is less than -12.
Hence, the given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).
Learn more about the inequality here :
brainly.com/question/20383699
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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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Firstly, we need to find the price of the blanket/bracelet after the 115% increase.
$10 x 1.15 = $15.20
Now for the 5.5% sales tax, which is applied the the new value of $15.20
$15.20 x 0.055 = 0.83
$15.20 + $0.83 = $16.03
The final cost for the blanket/bracelet is %16.03
Answer:
28%
Step-by-step explanation:
