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kogti [31]
3 years ago
5

Simplify the expression by using a double-angle formula or a half-angle formula.

Mathematics
1 answer:
Natasha2012 [34]3 years ago
5 0
Double-angle formulas:
2sinФcosФ=sin(2Ф) /:2
sinФcosФ=1/2*sin(2Ф)

sin(Ф/6)cos(Ф/6)=1/2*sin(2*Ф/6)=1/2*sin(Ф/3)

cos²Ф-sin²Ф=cos(2Ф)/*7
7cos²Ф-7sin²Ф=7cos(2Ф)

7cos²(Ф/9)-7sin²(Ф/9)=7cos(2*Ф/9)=7cos(2Ф/9)

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3 years ago
Divide 3,000 yards by 1,760
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7 0
3 years ago
2.
Gekata [30.6K]

Answer:

A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm

Step-by-step explanation:

This is a geometric sequence.

a%5B1%5D=1.5m=150cm, r=0.74

The formula is

a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29

Just substitute a1 = 150cm and r = 0.74

a%5Bn%5D=150%280.74%29%5E%28n-1%29

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3 years ago
Find the HCF of<br> x^2y and x
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6 0
2 years ago
A book has 12 chapters. The mean length of the chapters is 40 pages. How many total pages are there in the 12 chapters?
amm1812

Answer:

480

Step-by-step explanation:

Important Information:

A Book Has 12 Chapters.

The Mean length of the chapters is 40 pages.

Question to Answer:

How many total pages are there in the 12 chapters?

Explanation/Solution:

Let's assume that the total number of pages in the book is "x" pages.  

To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.  

\frac{x}{12}=40

Multiply both sides by 12...

x = 480

Hence, The total number of pages in the 12 chapters is 480.

7 0
2 years ago
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