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Lerok [7]
2 years ago
10

Simplify Sinx + cosx/ cos²x - sin²x​

Mathematics
1 answer:
bonufazy [111]2 years ago
3 0

\dfrac{\sin x + \cos x}{\cos^2 x - \sin^2 x}\\ \\\\=\dfrac{\sin x + \cos x}{(\cos x + \sin x )\\\\(\cos x - \sin  x)}\\\\\\=\dfrac{1}{\cos x - \sin x}

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In a certain region, the number of children who have been vaccinated against rubella is twice the number who have been vaccinate
MatroZZZ [7]

Answer:

C. 10 000

Step-by-step explanation:

If we called:

x = children who have been vacinated against rubella only

2x = children who have been vaccinated against mumps

y = children who have been vaccinated agains both

Children who have been vaccinated against mumps only = x - y

And we know that y = 2*(x-y)

=> 2y = 3x

y = 5000

There fore x = 7500

The number of children who have been vaccinated against rubella

= 2x - y = 2*7500 - 5000 = 15 000 - 5000 = 10 000

4 0
3 years ago
To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.
AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x ----->  the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

y=\frac{3x}{0.014}

For x=25

substitute

y=\frac{3(25)}{0.014}

y=5,357\ bees

therefore

There are about 5,357 bees in the hive

6 0
3 years ago
Read 2 more answers
a student claims that 8 to the third power times 8 to the -5 power is greater than 1 explain whether the student is correct or n
nika2105 [10]
I think he is not correct because there is negative number so it can't be greater than one
7 0
3 years ago
in the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first
trapecia [35]
Spencer would be the correct one because it's easier to keep your variables positive when trying to solve. Therefore, in order to keep the variable positive, one would have to add 4x to both sides.
4 0
3 years ago
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Which phrase best describes the relationship indicates by the scatter plotting?​
Inga [223]

Answer:B

Step-by-step explanation:

8 0
3 years ago
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