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Sloan [31]
3 years ago
12

Please help!!! 15 point

Mathematics
1 answer:
Zina [86]3 years ago
8 0

9514 1404 393

Answer:

  sin(θ)tan(θ)

Step-by-step explanation:

  \dfrac{\cos\theta}{\csc^2\theta-1}=\dfrac{\cos\theta}{\cot^2\theta}=\cos\theta\cdot\tan^2\theta=\cos\theta\cdot\dfrac{\sin\theta}{\cos\theta}\cdot\tan\theta\\\\=\boxed{\sin\theta\cdot\tan\theta}

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What is the base of the natural logarithm function f(x) = ln(x)? Explain how you know.
Zarrin [17]

Answer:

base = e

Step-by-step explanation:

The general log function is defined as

f(x)=\log_a x             .... (1)

where, a is the base of the log function.

The natural logarithm function is

f(x)=\ln x

It can be rewritten as

f(x)=\log_e x              .... (2)

where, e is a constant or Euler's number is:

e ≈ 2.71828183

On comparing (1) and (2) we get

a=e

Therefore, the base of the natural logarithm function is e.

4 0
3 years ago
Jacob with his mower can mow and trim Mr. Clark's yard in two and a half hours, while Nicole with her mower can mow and trim the
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1 hour 6 minutes 40 seconds
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Find the value of x<br>in the isosceles triangle shown <br><br>​
olga2289 [7]

Given that the isosceles triangle has sides √45, √45 and x.

The triangle has a height of 3 units.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the formula,

b=2\sqrt{a^2-h^2}

Where b is the base of the triangle, a is the sides of the isosceles triangle and h is the height of the triangle.

Substituting a=\sqrt{45} , b=x and h=3 in the above formula, we get;

x=2\sqrt{(\sqrt45)^2-(3)^2}

Squaring the terms, we have;

x=2\sqrt{45-9}

Subtracting, we get;

x=2\sqrt{36}

x=2(6)

x=12

Thus, the value of x is 12

Hence, Option B is the correct answer.

8 0
3 years ago
A basketball team scored 102 points in a game. Each basket is 2 points and each free throw is 1 point. Write a standard for equa
marissa [1.9K]

Answer:

The equation representing the Total number of points is 2x+y=102.

Step-by-step explanation:

Given:

Total Point scored = 102

Let Number of basket scored be 'x'

Let Number of free throws be 'y'

Total Point Scored will be equal to sum of Number of basket scored multiplied by point scored in basket and Number of Free throws multiplied by point scored in free throws.

Framing the equation we get;

2x+y=102

Hence The equation representing the Total number of points is 2x+y=102.

4 0
3 years ago
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Perform the indicated operation of <br>4.2+1.9​
kykrilka [37]

Answer:

6.1

Step-by-step explanation:

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