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Zinaida [17]
3 years ago
11

Part A: Solve –vp + 30 < 45 for p. Show your work.

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0
Part A: subtract 30 from both sides to get -vp<45. Then divide both sides by -v and flip the signs to get p>45/-v

Part B: subtract 3w from both sides to get -6r=30. Then divide -6 by both sides to get 3w/-6-5=r
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Answer:

The first answer is 87 and the second question answer is 229

Step-by-step explanation:

How i got the first question is by subtracting 122 and 35 which got me 87.

How i got the second question is by 18 - 3 = 15 and 244 - 15 equals 229. hope this helps :)

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Someone please help with this!!!!
choli [55]

Answer:

18. h = 14.4

19. h = 4.23

20. h = 15.28

21. h = 11.46

All answers are rounded to two decimal places.

Step-by-step explanation:

18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.

x = (a * b)/c

x = (18 * 24)/30

x = 432/30

x = 72/5

x = 14.4

19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)

24/sin(80)

24/0.98480775

24/1 * 4000000/3939231

8/1 * 4000000/1313077

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Now to find the first leg, which will be the height of the entire triangle.

x = √c² - b²

x = √24.3702388² - 24²

x = √593.908539 - 576

x = √17.908539

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20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.

20/sin(60)

20/0.8660254

20/1 * 5000000/4330127

100000000/4330127

23.0940109

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√133.333339

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î The answer above is leg 2 of the smaller triangle.

x = √10² + 133.333339

x = √100 + 133.333339

x = √233.33339

x = 15.2752525

x = 15.28

21. There is no need to figure out what the height is. The entire triangle is 45-45-90.

x = (√18² + 18²) - 15

x = (√324 + 324) - 15

x = (√648) - 15

x = 25.46 - 15

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7 0
3 years ago
When karen serves jury duty, she will receive $15 each day for the first three days she serve. After three days, she will receiv
liubo4ka [24]

Karen received $ 213 for 10 days of serving

<em><u>Solution:</u></em>

Given that When karen serves jury duty, she will receive $15 each day for the first three days she serve

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First three days = $ 15 each day

Therefore,

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second day = $ 15

third day = $ 15

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Answer:

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Step-by-step explanation:

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