Answer:
a = 21
b = 63
c = 42√3
d = 21√3
Step-by-step explanation:
The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.
That means the other sides of the smallest triangle will be ...
a = 42/2 = 21
a+b = 2(42) = 84
b = (a+b) -a = 84 -21 = 63
d = 21√3 . . . . middle-length side of the smallest triangle
c = 42√3 . . . . middle-length side of the largest triangle
The values of the variables are ...
- a = 21
- b = 63
- c = 42√3
- d = 21√3
Explain
More information
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Step by step solutions
He has to buy 4 packs. If you divide 23 by 6, you get 3.833 but you can’t buy a fraction of a pack so you have to round up and buy 4 packs. Hope this made sense; I can explain further if needed!
If you would like to write 0.85 in a fractional notation, you can do this using the following steps:
0.85 = 85/100 which simplifies to 17/20 <span>(the common factor of 85 and 100 is 5, so you
can divide both numbers by 5).
The correct result would be 17/20.</span>
45+5.25n>108
-45 -45
————————
5.25n > 63
Divide both sides by 5.25
n>12
