You use the pythagorean theorem to calculate the missing sides.
formula: a^2+b^2=c^2
a=leg, b=leg, c=hypotenuse.
substitute the lengths in and solve for the missing length.
1. 5^2+12^2=c^2 simplify exponents
25+144=c^2 add
169=c^2 square root both sides
a.13
2. 8^2+b^2=10^2
b.6
3. 15^2+20^2=c^2
b.25
4. Distance formula 5sqrt2
c.7
Answer:
X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2
Step-by-step explanation:
X + (2 and 1/2) - 3/4 = 5 and 1/4
X + 2 and 2/4 - 3/4 = 5 and 1/4 <--- common denominator
X + 10/4 - 3/4 = 21/4
X + 7/4 = 21/4
X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2
That answer I C. I hope this helps!!!!
Answer:
52.500 by 52.500 inches
Step-by-step explanation:
The rectangle with maximum area will be a square. Its side length will be 1/4 the perimeter, so is 210/4 = 52.5 inches.
The figure is a 52.500 inch square. The interval of optimization is <em>closed</em>.
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Side lengths are restricted to the interval 0 to 105 inches.
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Any n-sided polygon with a given perimeter will have its maximum area when the polygon is regular. A regular 4-gon is a square.
