It would come out to be $41.8275, so if you round it would cost $41.83.
To calculate 13% of 2120, we multiply by 13/100. 13/100*2120=13*21.2, or 275.6 using basic multiplication.
The angular resolution of telescope is roughly given by formula:
Where:
λ = wevelength of light
D = diameter of a telescope
First step in solving this question is to convert diameter given in inches into meters:
Telescope A:
6 * 0.0254 = 0.1524m
Telescope B:
10 * 0.0254 = 0.254m
Wavelength of visible light varies from 390nm to 700nm. We will take 500nm as a number for our calculation.
Telescope A:
Telescope B:
The results are given in radians. We need to transform this into degrees.
Telescope A:
Telescope B:
To find out which telescope can distinguish two stars we must convert given angle.
0.7'' is 0.7 arc seconds or 0.7 / 60 / 60 =0.0001944444444444 degrees
Telescope that has angles smaller than this can distinguish. In our case both telescopes have smaller angle and both can distinguish.
Find A <span>if B is between A and C.
</span><span>A.B,and C are collinear so A, B and C are line up in a line</span>
AC = AB + BC
AB=5x-19,and BC= 3x+4 given;
So
AC = 5x-19 + 3x+4
Simplify
AC = 8x -15
Parallel lines have the same slope.
To compare the slopes of two different lines, you have to get
both equations into the form of
y = 'm' x + (a number) .
In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .
The equation given in the question is y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end. The slope of this line is the -2 .
Go through the choices, one at a time.
Look for another one with a slope of -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.
Choice #4: y = 4x - 2 . The slope is 4 . That's not it.
Choice #3: y = 3 - 4x . The slope is -4 . That's not it.
Choice #2). 2x + 4y = 1
Subtract 2x from each side: 4y = 1 - 2x
Divide each side by 4 : y = 1/4 - 1/2 x .
The slope is -1/2. That's not it.
Choice #1). 4x + 2y = 5
Subtract 4x from each side: 2y = 5 - 4x
Divide each side by 2 : y = 5/2 - 2 x .
The slope is -2 .
This one is it.
This one is parallel to y = 3 - 2x ,
because they have the same slope.