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labwork [276]
3 years ago
6

Simplify (sinA +cosA) (sinA-cosA) ​

Mathematics
1 answer:
kvv77 [185]3 years ago
5 0

Answer:

-cos(2A)

Step-by-step explanation:

We know that (a+b) (a-b) = a^2-b^2

So it means we can simplify to sin^2(A)-cos^2(A) and we know cos^2(A) - sin^2(A) = cos(2A) but we will just multiply by -1 and we get - cos(2A)

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Joe wants to put a fence around his rectangular garden. his garden measures 33 ft by 39 ft. the garden has a path around it that
sukhopar [10]
The perimeter of a rectangle is given by:
 P = 2W + 2L
 Where,
 W: width
 L: long
 Substituting the values we have to:
 P = 2 * (33 + 2 * (3)) + 2 * (39 + 2 * (3))
 P = 168 feet
 Answer:
 
joe needs to enclose the garden and path 168 feet of fencing material
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3 years ago
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According to the U.S. Census Bureau (2016), a substantial pay gap still exists. The average American man, with an advanced colle
Leokris [45]

Answer:

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

Step-by-step explanation:

Per year.

The average man earns $90,761.

The average woman earns $50,756

So, per year, the difference is:

90,761 - 50,756 = 40,005

Over 30 years:

30*40,005 = 1,200,150

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

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3 years ago
PLEASE ANSWERRRRRRRRR<br><br> Solve the system of equations.
goldfiish [28.3K]

Answer:

x=6 y=-3    (6,-3)

Step-by-step explanation

6 0
3 years ago
APEX
Len [333]

Answer:

B. 30

Step-by-step explanation:

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5 0
3 years ago
A bee flies 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for fifteen minutes. Then i
Ksenya-84 [330]

A. The equation to find the distance of the flowerbed from the hive is: \frac{x}{20}+\frac{x}{12}+900= 1200 , where x is the distance.

B.  The flowerbed is 2250 feet far from the hive.

<u><em>Explanation</em></u>

Suppose, the distance of the flowerbed from the hive is x feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

As, Time=\frac{Distance}{Speed}

So, the time taken by the bee to reach the flowerbed = \frac{x}{20} seconds and the time taken to fly back to the hive =\frac{x}{12} seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be.......

\frac{x}{20}+\frac{x}{12}+900= 1200\\ \\ \frac{3x+5x}{60}= 300\\ \\ 8x= 60*300\\ \\ 8x=18000\\ \\ x=\frac{18000}{8}=2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

5 0
4 years ago
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