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777dan777 [17]
3 years ago
9

Express 8 sin^2x - 10sinxcosx in the form a+b sin(2x+c).

Mathematics
1 answer:
ladessa [460]3 years ago
7 0
8 sin2x - 10sinxcosx = 8*2sinXcosX-10sinXcosX = 16sinXcosX - 10sinXcosX = 6sinXcosX=3sin2x
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At the beginning of 2010, City A had a population of 2,425 and was growing by 27 residents per year. City B had a population of
d1i1m1o1n [39]

Answer: 17 years

Step-by-step explanation:

City A is currently 2,425 people in number and growing at 27 per year.

An expression to find the population in a given year assuming the year is x would be:

= 2,425 + 27 * x

= 2,425 + 27x

Applying the same logic to City B would give an expression of:

= 1,813 + 63x

Equating these together will give the year they will be the same:

2,425 + 27x = 1,813 + 63x

2,425 - 1,813 = 63x - 27x

612 = 36x

x = 612/36

x = 17 years

4 0
3 years ago
Read 2 more answers
the length of a rectangle is five times its width. if the perimeter of the rectangle is 96 ft, find its area. ​
romanna [79]

Answer:

lets say that the length is L and the width is W. With the given info, we can say that L=5W.

We know that the perimeter is all four sides added, so..

5W*4=20W

20W=96

W=4.8

L= 5*4.8=24

Area is equal to 24*4.8, which is 115.2

Voila! Your answer is 115.2 sq. ft!

5 0
3 years ago
The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost?
Harrizon [31]

Answer:

$20.88

Step-by-step explanation:

3 0
2 years ago
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Ella has $115. She wants to purchase a cell phone for $53 and spend the rest on music. Each music album costs $9. Write and solv
lana [24]
53 + 9x < 115
THE LESS THAN SYMBOL SHOULD HAVE A LINE UNDER IT!
3 0
3 years ago
If you divided the length of AQ by the length of WQ, what is the solution?
slamgirl [31]
The length of AQ is 4, the length of WQ is 12, 4 divided by 12 can be simplified as 1 divided by 3 so the answer is  A. 1/3
6 0
3 years ago
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