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Kipish [7]
3 years ago
10

Solve the equation

id="TexFormula1" title="2 \sin ^{3} x - \sin \: x = 0 " alt="2 \sin ^{3} x - \sin \: x = 0 " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer:

Step-by-step explanation:

2 sin^3x-sin x=0\\sinx(2sin^2x-1)=0\\either~sin x=0,x=n\pi ,where ~n~is~an~integer.\\or~2sin ^2x-1=0\\or~1-2sin^2x=0\\cos 2x=0\\2x=(2n+1)\frac{\pi }{2} \\or~x=(2n+1)\frac{\pi }{4} ,where~n~is~an~integer.

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If you have a 10 foot ladder and you put it against a wall at the ideal angle how high on the wall will the ladder touch assume
fenix001 [56]
It depends on what the "ideal" angle is.. the angle that it's propped up against the wall.
A small angle < 45° will get more height but falling backwards off the ladder is more probable. An angle > 45° get's much less height and get's more unsafe the closer to 90° it becomes. I guess you should go with 45° as the ideal angle.

Then the ladder just makes a right triangle with the building.
Opposite side is the height, Hypotenuse is the ladder length.
Soh Cah Toa

Sin(45°) = (height) / (10 ft)
10 × Sin(45°) = height
7.07 ft


5 0
4 years ago
You have to answer 2 questions for the exam. There are 7 essays to choose from. How many different groups of 2 essays could you
Alex777 [14]

Answer:

21

Step-by-step explanation:

Since the order of the essays isn't important, the number of ways you can choose 2 from 7 is:

₇C₂ = 7! / (2! (7−2)!)

₇C₂ = 7! / (2! 5!)

₇C₂ = 7×6×5! / (2×1 × 5!)

₇C₂ = 7×6 / 2

₇C₂ = 21

6 0
3 years ago
Angelina factored (x - 48 ) and wrote that it was equal to (x^2 - 4^2)^2(x^2 + 4^2). Use complete sentences to explain how you c
defon
(x^2 - 4^2)^2 = x^4 - 4^4
(x^4 - 4^4) (x^2 + 4^2) = x^2 - 4^6
The Angela's solution is wrong cause when you multiply you get a different answer.
7 0
3 years ago
99 plus 99b gyzuosfk​
Anettt [7]

Answer:

  hmm...

Step-by-step explanation:

3 0
3 years ago
As students move to thinking about formulas it supports their conceptual knowledge of how the perimeter of rectangles can be put
kolezko [41]

Answer:

B. P=l+w

Step-by-step explanation:

Let l represent length of rectangle and w represent width of rectangle.

We have been given four formulas for the perimeter of rectangle. We are asked to choose the formula that displays a common student error for finding the perimeter.

We know that perimeter of a polygon is sum of all sides of the polygon. We also know that rectangle is polygon having two sets of equal sides.

The perimeter, P, of rectangle will be sum of its all sides that is:

P=l+w+l+w

Combine like terms:

P=2l+2w

Factor out 2:

P=2(l+w)

Upon looking at our given choices, we can see that formula represented by option B displays a common student error for finding the perimeter.

7 0
4 years ago
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