Answer:
The solution set is x < 2.7
Step-by-step explanation:
To start, get all of the x terms on the right side and all the constant terms on the left.
1/5 + 1/3x > 1/2x - 1/4
1/5 + 1/4 + 1/3x > 1/2x
1/5 + 1/4 > 1/2x - 1/3x
Now give the terms on each side common denominators.
4/20 + 5/20 > 3/6x - 2/6x
9/20 > 1/6x
Now we can multiply both sides by 6.
27/10 > x
2.7 > x
Answer:
all work is shown and pictured
<h3>
Answer: 0.5</h3>
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Explanation:
The ultimate goal is to find the value for lowercase c, or find the length of side c. So we'll use the portion sin(C)/c as part of the law of sines.
We don't know the value of lowercase 'a', so we'll ignore the sin(A)/a portion.
This leaves sin(B)/b
We see that one side is 2 cm long, so this means b = 2. The angle opposite this is 105 degrees, so B = 105.
The angle opposite side c is 15 degrees, so C = 15.
The lowercase letters represent side lengths, while the uppercase letters are angles.
--------------------------
We have enough to apply the law of sines to solve for side c.
sin(B)/b = sin(C)/c
sin(105)/2 = sin(15)/c
c*sin(105) = 2*sin(15) ............. cross multiply
c = 2*sin(15)/sin(105) .............. dividing both sides by sin(105)
c = 0.53589838486224
c = 0.5
Side c is roughly 0.5 cm long.
Make sure your calculator is in degree mode.
Answer:
the width is 7 inches
Step-by-step explanation:
A = l * w
14 = 2 * w
what does w equal?
14 / 2 = 7
2 * w / 2 = w
7 = w
