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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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Plz help me with this now!!
Digiron [165]
The answer will be y=3x-1. You will the steps in the picture

6 0
3 years ago
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and
ruslelena [56]

Answer:

An egg and cheese biscuit was $3.65.

Step-by-step explanation:

Liam's breakfast was:

P = E + C + M

Where:

P: total price

E: egg

C: cheese biscuit

M: carton of milk  

P = E + C + M

5.65 = E + C + M   (1)

Now, Finn's breakfast was:

P = E + C + 2*M

7.65 = E + C + 2*M   (2)      

By subtracting equation (2) from (1) we have:

7.65 - 5.65 = 2M - M

M = 2

Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:

5.65 = E + C + M

5.65 - 2 = E + C

E + C = 3.65

Therefore, an egg and cheese biscuit was $3.65.

I hope it helps you!

7 0
3 years ago
What value or values of x satisfy 2x + 5.31 = 4.2?
Softa [21]

Answer:  x can equal -3.2 or -7.4.

Step-by-step explanation:

The correct expression is:

2|x+5.3|=4.2

So, we have an absolute value equation, where it can be positive or negative:

  • Positive

2 (x+5.3)=4.2

2x+10.6 =4.2

2x=4.2-10.6

2x = -6.4

x= -6.4/2

x = -3.2

  • Negative

2[-(x+5.3)]=4.2

-2x-10.6 =4.2

-2x= 4.2+10.6

-2x= 14.8

x= 14.8/-2

x= -7.4

x can equal -3.2 or -7.4.

Feel free to ask for more if needed or if you did not understand something.  

3 0
3 years ago
Plz help!!
inysia [295]
<span>1. 5564÷91
I know that 9 * 6 = 56
5564 rounds to 5600
91 rounds to 9
Since 56/9 = 6, then 5600/90 is the same as 560/9 = 60
The estimate is 60

2. </span><span>5391÷25
5391 sounds to 5400
25 is 1/4 of 100.
That means when you divide by 25, you can divide by 100 and multiply by 4.
5400/100 = 54
54 * 4 = 216
Estimate: 216

3. </span><span>explain how to estimate 498÷12
48/12 = 4
498 is little more than 480, so 498/12 is little more than 40

4. </span><span>which is the closest estimate for 2130÷ 33
A.7 B.17 C.70 D.700

2130/33
Round off the numerator and denominator to
2100/30
Reduce the fraction
210/3
Since I know that 21/3 = 7, then 210/3 = 70
Estimate: 70
</span>
8 0
3 years ago
5(6x+2)+4(5x+5)+4=50x+34
makkiz [27]

Answer:

0=0

Step-by-step explanation:

50x+34=50x+34

50x=50x

50x - 50x = 50x - 50x

0=0

7 0
3 years ago
Read 2 more answers
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