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Gala2k [10]
3 years ago
5

Use distributive property to write an expression equivalent to 6(24)

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
4 0
6(12+12)
6(20+4)
6(10+14)
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The answer is d. (-3,8.)

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Solve: -18 - 5y > 52
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y < -14.

Step-by-step explanation:

-18 - 5y > 52

-5y > 52 + 18

-5y > 70

y < 70/-5   (Note the inequality sign flips when dividing by a negative).

y < -14

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Is the graph a linear function, nonlinear function, or relation?
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PLEASE HELP ME PLEASE HELP I NEED HELP
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Answer: 9

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circle formula pi x (rsquared)

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so pi times 25=157.08 (roughly the number is rounded up because the decimal does not end)

now subtract this area from the total area of the rectangle to find the remaining area, which we will fill with wood chips. so 200-157.08=42.92  (using the exact decimal value on my calculator for all calculations, I am rounding them in the explanation.) So now we divide this by 5 because a bag of wood chips covers 5 square feet. 42.92/5=8.58, which we round up to 9, so we need 9 bags of wood chips as our answer.

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5 0
3 years ago
The figure shows △XYZ. XW⎯⎯⎯⎯⎯⎯ is the angle bisector of ∠YXZ .<br><br> What is WZ ?
Mnenie [13.5K]
Use the law of cosines to find the measure of angle YXZ.

8^2=6.5^2+6^2-2(6.5)(6)\cos(\angle YXZ)
\cos(\angle YXZ)\approx0.1827
\angle YXZ\approx 1.3871\text{ rad}\approx79.4734^\circ

This means angles YXW and WXZ share the same measure of about 39.7367^\circ.

Use the law of cosines again to find the measure of angle XZW.

6.5^2=8^2+6^2-2(8)(6)\cos(\angle XZW)
\cos(\angle XZW)\approx0.6016
\angle XZW\approx0.9253\text{ rad}\approx53.0181^\circ

This means the measure of angle XWZ is

180^\circ=\angle WXZ+\angle XWZ+\angle XZW\implies \angle XWZ\approx87.25^\circ

Now using the law of sines, you have

\dfrac{\sin(\angle WXZ)}{WZ}=\dfrac{\sin(\angle XWZ)}6\implies WZ\approx3.84
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