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earnstyle [38]
3 years ago
14

Rewrite the expression in terms of sine and cosine, and simplify as much as possible. (sec w(1+ csc^2 w))/(csc^2 w)​

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

(sin^2 w + 1) / cos w.

Step-by-step explanation:

Note: sec w = 1 / cos w and csc w = 1/ sin w.

So we have:

(sec w(1 + csc^2 w)) / (csc^2 w)​

= 1/cos w (  1 + 1/ sin^2 w)  /   (1 / sin^2 w)

= ( 1/ cos w + 1 / sin^2 w cos w) * sin^2 w

=  sin^2 w/ cos w + sin^2 w / (sin^2 w cos w)

= sin^2 w / cos w + 1 /  cos w

=  (sin^2 w + 1) / cos w.

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What is the value of x?​
Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

V=\frac{4}{3}\pi r^3

We are told our volume is 500pi/3, so we fill that in and solve for r:

\frac{500\pi}{3}=\frac{4}{3}\pi r^3

Start by multiplying both sides by 3 over 4 pi:

(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3

Simplifying gives us

125=r^3

Take the cubed root of both sides to get that

r = 5

6 0
3 years ago
Jackson drinks 0.44 liters of water, which was 55% of the water in the bottle. How much water was in the bottle to start?
Delicious77 [7]

Answer:

He had 0.8 liters to start with...

Step-by-step explanation:

0.44 is 55% of what? (what = x)

Equation: Y = P% * X

X = Y/P%

X = 0.44/55%

55% = 0.55

X = 0.44/0.55

X = 0.8

7 0
3 years ago
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Which statement below is always true?
STatiana [176]

Answer:

The answer is <u>B. Two parallel lines lie in the same plane.</u>

Step-by-step explanation:

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What is the area of the blue shaded region ​
zavuch27 [327]

Answer:

355.94 cm²

Step-by-step explanation:

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3 years ago
Evaluate the function when x=4
MrRa [10]

The graph of the function is defined in the attached file please find it.

<h3>Graph function:</h3>

\to \bold{x=4}

  • In the given question, the x-axis holds a value that is "4".
  • The holding value is "4" which is a positive number, and in the graph, it represents the positive value, which is defined in the attached file please find the attached file.

Find out more information about the function here:

brainly.com/question/12406000

4 0
2 years ago
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