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Sloan [31]
2 years ago
10

Which number line represents the graph of the solution to the inequality 27 + 4.5x 2 81?

Mathematics
1 answer:
devlian [24]2 years ago
3 0

Answer: =27+1264.5x

Step-by-step explanation: It bascially explains itself

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2x – 3y = 15<br><br><br>-2x + y = -1
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Read 2 more answers
PLEASE OF YOU CAN SHOW THE WORK:
Alex777 [14]

Answer:

x\approx24^\circ

Step-by-step explanation:

We know that r and s have a combined length of 70. Therefore:

r+s=70

Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:

a^2+b^2=c^2

Substituting 20 and 8 for a and b and r for c yields:

20^2+8^2=r^2

Compute:

464=r^2

Therefore:

r=\sqrt{464}=\sqrt{16\cdot 29}=4\sqrt{29}

Now, we can determine s. We know that:

s+r=70

So, by substitution:

s+4\sqrt{29}=70

Therefore:

s=70-4\sqrt{29}

Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.

Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.

In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:

\displaystyle \sin(x^\circ)=\frac{20}{s}

By substitution:

\displaystyle \sin(x^\circ)=\frac{20}{70-4\sqrt{29}}

Take the inverse sine of both sides:

\displaystyle x^\circ=\sin^{-1}\Big(\frac{20}{70-4 \sqrt{29}} \Big)

Use a calculator. Therefore:

x\approx24.37^\circ\approx24^\circ

8 0
2 years ago
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