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Alisiya [41]
2 years ago
9

Simplify: 20 sin(2x) cos(2x)

Mathematics
1 answer:
alexandr1967 [171]2 years ago
8 0
Use the the double angle formula:
sin(2A)=2sin(A)cos(A)

substitute 2x for A, then
20sin(2x)cos(2x)=10(sin(2(2x))cos(2(2x))=10sin(4x)

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Find the HCF of 27, 63, 54 using prime factorization method.
Step2247 [10]

Answer:

27 = 3 , 3, 3

63= 3 , 3, 7

54= 3 , 3, 3, 2

HCF OF 27, 63 AND 54 = 3 X 3 = 9

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2 years ago
7.13 In the original study of regression toward the mean, Sir Francis Galton noted a tendency for offspring of both tall and sho
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Answer: All heights could be the same based on probability

Step-by-step explanation:

7 0
3 years ago
The length of a rectangle is 4 ft longer than its width.
son4ous [18]

Answer:

96

Step-by-step explanation:

40=4x+8

32=4x

x=8

other side x+4 is 12

area is 12×8

96

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2 years ago
Ella collects 50 bottles to recycle. Of the bottles she collects, 19 are plastic and the rest are glass.
nekit [7.7K]
QUESTION A

The total number of bottles Ella collected is
50


The number of bottles that are plastic is

19

The percentage of bottles that are plastic is

=  \frac{number \: of \: plastic \: bottles}{total \: number \: of \: bottes}  \times 100\%

=  \frac{19}{50}  \times 100\%

= 19 \times 2\%
= 38\%

Therefore 38% of the bottles are plastic.



QUESTION B

The total number of bottles that are glass is
50 - 19 = 31

The total number of bottles Ella collected is
50

The percentage of bottles that is glass is
=  \frac{number \: of \: glass \: bottles}{total \: number \: of \: bottles}  \times 100\%

=  \frac{31}{50}  \times 100\%

= 31 \times 2\%
= 62\%

Therefore 62% of the bottles are glass
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