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Nat2105 [25]
3 years ago
10

What is the measurement of angle 6

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer: 59

Step-by-step explanation: angle 3 is equal to angle 6 and to find angel 3 do 180-121

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Amy earns £10.00 per hour. She gets a raise, and her new hourly rate is £11.50. What is the percentage change in her hourly rate
Nookie1986 [14]

Answer: 15%

Step-by-step explanation:

% change = change/ actual value x 100

Change = 11 .50 - 10 = 1.5

Therefore % change = 1.5/10 x 100

= 15%

7 0
4 years ago
Read 2 more answers
Lowering powers write in terms of first power of cosine. Cos^6
yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{16}\cos2x\cos4x

Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

\cos^6x=\dfrac5{16}+\dfrac7{16}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos2x+\dfrac1{32}\cos6x

\cos^6x=\dfrac5{16}+\dfrac{15}{32}\cos2x+\dfrac3{16}\cos4x+\dfrac1{32}\cos6x

4 0
4 years ago
Please answer the question and provide a solid definition of what an expression is, thank you :)
xz_007 [3.2K]

Answer:

Answers are: 2x - 7, and 2x -7 = 14

Step-by-step explanation:

An expression must have variables must have a coefficient, a number that is multiplied divided added or subtracted by our variable. The variable is a place holder.

So our answers would be 2x - 7, and 2x -7 = 14

5 0
3 years ago
Find the y-intercept of the line on the graph.
sveticcg [70]
Wouldn’t be 0 because that’s where the line cross the middle line
4 0
3 years ago
How does sunlight cause cracks in the street​
Zanzabum

Answer:

heat causes the concrete to crack and dissemble

Step-by-step explanation:

4 0
4 years ago
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