Answer:
Answer:
For converging lens
object distance u = - 2.0cm
Focal length f = 5.0cm
From lens formula
m=
m=
=3
Size of image = size of object x Magnification
= 2 x .10 = 2.0cm
For diverging lens
object distance u = 140 - 120 = 20 cm
focal length f = -30 cm
frac{1}{v}+\frac{1}{20}=-\frac{1}{30}
v = -12 cm
m = 12/20 = 0.6
size of final image = .6 x 30 = 18 cm
First you'll need two equations ( you can use any variables you want)
A= photo group 1
B= photo group 2
First equation:
A + B = 33
This is because the total number of photos from both groups is 33
Second equation:
4A = 7B
This is because the ratio is 4:7 so for every four photos in group A there must be 7 photons in group B.
Then take the first equation A + B = 33 and subtract B from both sides. Making the equation A = 33 - B
Then with that equation, substitute it in for equation 2 and it will look like this. 4(33-B) = 7B
Then distribute the 4 to the 33 and the -B making the equation 132 - 4B = 7B
Then add 4B to each side
Making the equation 132 = 11B
Then to get B by itself you must divide each side by 11 making the equation 132/11 = B which simplifies to 12 = B
Then plug in 12 for B in the first equation like this A + 12 = 33
Then subtract 12 on each side of the equation to isolate A so A = 21
So
A = 21
B = 12
The cosine is -0.88
This is rounded from <span>-0.88387747318
The sine is .48.
This is rounded from </span><span>0.46771851834</span>
Answer:
10, 8, 6, 4, 2,
Step-by-step explanation:
f(1) = 10 tells you the first term in the sequence is 10. Only one answer choice has a first term of 10.
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f(n+1) = f(n) -2 tells you that each successive term is 2 less than the previous term. The same answer choice also has that characteristic.