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givi [52]
3 years ago
12

Does anyone know how to do this csc x ( sin x + cos x) = 1 + cot x ​

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0

9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  \csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)

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I will give thanks and five stars to the person that helps me.
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Answer:

last option is the answer

Step-by-step explanation:

x-10<=-13

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so

last option is the correct answer.

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3 years ago
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(3O POINTS)Which of the following values is a solution for the inequality statement?
White raven [17]

Answer:

55, -150, -78

Step-by-step explanation:

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A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
bearhunter [10]

Answer:

<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>

Step-by-step explanation:

<u>Exponential Growing</u>

The population of bacteria grows at a rate expressed by the equation:

f(t)=256e^{0.06111t}

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256

Now we find the time when the population is 5*256=1,280. The equation to solve is:

1,280=256e^{0.06111t}

Dividing by 256:

e^{0.06111t}=1,280/256=5

Taking natural logarithms:

ln\left(e^{0.06111t}\right)=ln5

Applying the logarithm properties:

0.06111t=ln5

Solving for t:

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It will take 26.34 minutes for the population to reach 5 times its initial value

6 0
4 years ago
Consider the following system of equations:
Snowcat [4.5K]

The correct answer is: "The y's because the coefficients are the same."

Further explanation:

we always try to eliminate the variable from the system of equations which involves lesser calculations and complexity.

Assuming that Given equations are:

Equation 1: 82x + 2y = 30

Equation 2: 70x + 2y = 24

we can see that the coefficients of x are very large and different. While the coefficients of y are same. We can only subtract the equations to eliminate y.

Hence,

The correct answer is: "The y's because the coefficients are the same."

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

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