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Juliette [100K]
3 years ago
8

Find the general solution for cos x = 0, where n is an integer.

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
6 0
First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2

Now, this is the answer for angles between 0 and 2pi

but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:

x = pi/2 + n*pi

here n is any integer.
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For a population with µ = 80 and σ = 20, the distribution of sample means based on n = 16 will have an expected value of _______
wlad13 [49]

Answer:

calculate the number of atom in 3 mol helium

7 0
1 year ago
Solve the proportion.<br> 3/6 = 7/d
AysviL [449]

To solve this proportion:

\frac{3}{6} =\frac{7}{d}

Simplify 3/6, it reduces to 1/2

\frac{1}{2} =\frac{7}{d}

Then do the Criss cross method

1d = 7 ×2

d=14

Hope it helps!

6 0
2 years ago
Read 2 more answers
Please help me answer one of these!
babunello [35]

This seems to be referring to a particular construction of the perpendicular bisector of a segment which is not shown. Typically we set our compass needle on one endpoint of the segment and compass pencil on the other and draw the circle, and then swap endpoints and draw the other circle, then the line through the intersections of the circles is the perpendicular bisector.


There aren't any parallel lines involved in the above described construction, so I'll skip the first one.


2. Why do the circles have to be congruent ...


The perpendicular bisector is the set of points equidistant from the two endpoints of the segment. Constructing two circles of the same radius, centered on each endpoint, guarantees that the places they meet will be the same distance from both endpoints. If the radii were different the meets wouldn't be equidistant from the endpoints so wouldn't be on the perpendicular bisector.


3. ... circles of different sizes ...


[We just answered that. Let's do it again.]


Let's say we have a circle centered on each endpoint with different radii. Any point where the two circles meet will then be a different distance from one endpoint of the segment than from the other. Since the perpendicular bisector is the points that are the same distance from each endpoint, the intersection of circles with different radii isn't on it.


4. ... construct the perpendicular bisector ... a different way?


Maybe what I first described is different; there are no parallel lines.



8 0
3 years ago
Y=x+2<br> x-y=2<br> What is the solution
Alisiya [41]

Answer:

No solutions.

Step-by-step explanation:

x - y = 2   <Start with an equation

x - (x + 2) = 2   <Plug in the given y value and solve for x

x - x - 2 = 2   <Combine like terms

0 - 2 = 2   <There are no values of x

No solutions.

8 0
3 years ago
What is x?<br><br>x/8 + 6 = 4<br><br>x=_?
Nitella [24]

Answer:x=-16

Step-by-step explanation:

Subtract 6 from both sides

x/8=-2

Multiply the number by 8 on both sides to get x by itself

x=-16

Hope you are having a good day and if you could, brainliest would be nice

7 0
2 years ago
Read 2 more answers
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