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olya-2409 [2.1K]
3 years ago
13

What’s the answer to this ??

Mathematics
1 answer:
lesya [120]3 years ago
6 0

Answer:

Step-by-step explanation:

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4 years ago
Find the exact value of sin –255°.
alekssr [168]

Answer:

sin(-255°) = √2 + √6/4

Step-by-step explanation:

We need to find sin -255°

We know that sin(-a) = - sin(a)

so, sin(-255°) = - sin 255°

We know that 180° + 75° = 255°

Now we can write sin(255°) = sin(180° + 75°)

We can use the identity:

sin(x+y) = sin(x) cos(y)+cos(x)sin(y)

x = 180° , y = 75°

Solving,

sin(x+y) = sin(x) cos(y)+cos(x)sin(y)

sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)

sin(180°)  = 0

cos(75°) = √6 -√2/4

cos(180°) = -1

sin( 75°) = √2 + √6/4

Putting values,

sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)

sin(180° + 75°) = -(√2 + √6/4)

We know that sin(-255°) = -sin(255°)

Putting value of sin(255°)

sin(-255°)  = -(-(√2 + √6/4))

sin(-255°) = √2 + √6/4

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Step-by-step explanation:

To simplify, we add all the common terms among themselves.

We have terms with the unit m and terms without any unit. So we add them among themselves.

59.95m − 30 + 7.95m + 45 + 9.49m

(59.95 + 7.95 + 9.49)m + (-30 + 45)

77.39m + 15

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If 8 family members choose to play "Secret Santa," how many different ways can the names be paired?
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300,000,000 or three hundred million

Step-by-step explanation:

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Read 2 more answers
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