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galben [10]
3 years ago
11

I screenshotted my question.

Mathematics
2 answers:
andrey2020 [161]3 years ago
3 0

Answer:

Step-by-step explanation:

Hello,

4-4x\leq 24\\\\\text{We can divide by 4.}\\\\1-x\leq 6\\\\\text{We can add x.}\\\\1\leq x+6\\\\\text{We can subtract 6.}\\\\1-6=-5\leq x \large \boxed{\sf \bf x \in [-5;+\infty[}

Thanks

Kryger [21]3 years ago
3 0

Answer:

[ − 5 , ∞ )

Step-by-step explanation:

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Read 2 more answers
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
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