Answer:
Explanation:
- Solve for 'w'
Flip Equation
ntw = v
Divide both sides by 'nt'
ntw / nt = v / nt
- w = v / nt
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
2 answers:
Answer:
see attached
Step-by-step explanation:
The Pythagorean theorem can be used to find the hypotenuse associated with each pair of legs. That tells you ...
c² = a² +b² . . . . . legs a, b; hypotenuse c
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<h3>alternate form of Pythagorean theorem</h3>For the purpose of this problem, it is convenient to consider a slightly different form of the equation.
For legs √a and √b, the hypotenuse √c is given by ...
(√c)² = (√a)² +(√b)²
c = a +b
That is ...
legs √a, √b ⇒ hypotenuse √(a+b)
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<h3>application to this problem</h3>Since the legs are (mostly) given in terms of square roots, the value under the radical for the hypotenuse is simply the sum of those:
legs: √1, √2 ⇒ hypotenuse √(1+2) = √3
legs: √2, √3 ⇒ hypotenuse √(2+3) = √5
legs: √5, √3 ⇒ hypotenuse √(5+3) = √8
legs: √5, √1 ⇒ hypotenuse √(5+1) = √6
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<em>Additional comment</em>
You may not see the leg lengths given as square roots very often. This is a rather unusual set of problems for hypotenuse length.
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Answer:
Step-by-step explanation:
I believe the only way to solve this is by Heron's Formula.
Add up all the sides and divide by 2 to get the semi-perimeter:
113+100+86 = 299
299/2 = 149.5
Now fill in the rest, which looks like this:
where s is your semiperimeter value, a is the length of one side, b the length of another side, and c the length of the third side:
which simplifies to
which simplifies further to
which, on your calculator, is 4141.49 meters squared (that's rounded to the nearest hundredth).