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Andrej [43]
3 years ago
5

Simplify without using the calculator or the sin tables.​

Mathematics
1 answer:
katovenus [111]3 years ago
7 0

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

1/2 (1 − √2/2) − 1/8 (3 + 4 (-√2/2) + 0)

1/2 − √2/4 − 1/8 (3 − 2√2)

1/2 − √2/4 − 3/8 +√2/4

1/2 − 3/8

1/8

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A number increased by the quotient of 24 and the number
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Answer:

n + 24/n

Step-by-step explanation:

n = number

24/n = quotient

Expression: n + 24/n

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Rebecca bought groceries using 50% of her paycheck from her part time job. She saved 75% of the remaining amount of money and ha
never [62]
0.75 (1/2x) = 60

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Help please ASAP don’t have much time ..
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Answer:

64

Step-by-step explanation:

add all the numbers together

4 0
3 years ago
Read 2 more answers
In Aunt Melly's attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant ha
anzhelika [568]

Answer:

Spiders=8

Ants=12

Step-by-step explanation:

Spider(s)=8 legs

Ants(a)=6 legs

Total legs=136

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8s+6a=136 (1)

s+a=20 (2)

From (2)

s=20-a

Substitute 20-a into (1)

8s+6a=136

8(20-a)+6a=136

160-8a+6a=136

160-2a=136

-2a=136-160

-2a=-24

a= -24/-2

a=12

Substitute a=12 into (2)

s+a=20

s+12=20

s=20-12

s=8

3 0
3 years ago
Part Two: Find they<br> 5. y= 4x + 3
skelet666 [1.2K]

Answer:

divide 4. from 4 n 3. 3 divided by 4 answer us the answer fir x and then you times that answer to 4 and that is the answer for y

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