3(13-2a)=-3+a
39-6a=-3+a
42=7a
a=6
Sin θ=sqrt(1-<span>cos^2 θ)
</span>sin θ=sqrt[1-(5/13)^2]
sin θ=sqrt[1-(5)^2/(13)^2]
sin θ=sqrt[1-25/169]
sin θ=sqrt[(169-25)/169]
sin θ=sqrt(144/169)
sin θ=sqrt(144)/sqrt(169)
sin θ=12/13
Answer: Second option 12/13
Let the number of months = x , and total budget = y
<span>An inequality to represent the situation:

For budget = $155
∴ 155 = 20 x +15
solve for x
20 x = 155 - 15 = 140
∴ x = 140/20 = 7
∴ T</span>he greatest number of months = 7 <span>months.</span>
Answer:
1/4
Step-by-step explanation:
We can find the slope of a line given two points from the formula
m = (y2-y1)/(x2-x1)
= (-2--1)/(-12--8)
= (-2+1)/(-12+8)
=-1/-4
= 1/4
Answer:
6 cm
Step-by-step explanation:
If the original side length is x, then the modified square has an area of ...
A = LW
32 = (x +2)(x -2) = x^2 -4
36 = x^2 . . . . . . . . add 4
6 = x . . . . . . . . . . take the square root
The original figure has a side length of 6 cm.
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<em>Check</em>
The modified figure is 8 cm by 4 cm = 32 cm^2.