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photoshop1234 [79]
3 years ago
10

Explanation and help completely lost

Mathematics
2 answers:
Tomtit [17]3 years ago
4 0

Hello.


The find the measure of side c, you should use the Law of Sines. This law states, sin A / a = sin B / b = sin C / c. Since you are given two angle measures and the measure of a side, you can substitute these values into sin B / b = sin C / c.


Here are the given values: sin B = 105 degrees, sin C = 15 degrees, side b = 2 cm.


sin (105) / 2 = sin (15) / c (multiply both sides by c)

sin (105) / 2 · c = sin (15)

0.48296... · c = 0.25881... (divide both sides by 0.48296)

c = 0.53588..


The value of side c is about 0.5 centimeters.

Digiron [165]3 years ago
3 0

Not sure about explanation I just added 105 and 15 and subtracted from 180 to get 70 you can try that.

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jeka94

Answer:

I think it is 3.

Step-by-step explanation:

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3 years ago
Daniel had 80 more stickers than Elle. He gave 1/4 of his stickers to Elle. She then gave 3/5 of her stickers to Daniel. In the
Pepsi [2]

Answer:

Daniel had 108 stickers at first

Step-by-step explanation:

Number of Daniel's stickers = d

Number of Elle's stickers = e

Since Daniel had 80 more stickers than Elle, d = 80 + e

e = d - 80

Daniel gave 1/4 of his stickers to Elle, Daniel is left with (d - d/4) = 3d/4

Elle now has e + d/4 = d - 80 + d/4 = (5d/4) - 80 = (5d - 320)/4

Elle now gave 3/5 of her remaining stickers to Daniel:

Elle now has:

e_{new} = \frac{5d -320}{4} - \frac{3}{5} * \frac{5d -320}{4}\\\\e_{new} = \frac{5d -320}{4} - \frac{15d -960}{20}\\\\e_{new} = \frac{25d - 1600 - 15d + 960}{20} \\\\ e_{new} = \frac{10d-640}{20}

Daniel now has:

d_{new} = \frac{3d}{4} + \frac{3}{5} (\frac{5d - 320}{4} )\\d_{new} = \frac{3d}{4} + \frac{15d - 960}{20} \\d_{new} = \frac{30d - 960}{20}

Daniel now had 92 more stickers than Elle

d_{new} = E_{new} + 92

\frac{30d - 960}{20} = \frac{10d - 640}{20} + 92

Multiply through by 20

30d - 960 = 10d - 640 + 1840

20d = -640 + 1840 + 960

20 d = 2160

d = 2160/20

d = 108

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This fraction can be reduced so your answer is 3/2

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