First, we are going to use the Pythagorean identity:
to rewrite our expression. Solving for
in our Pythagorean identity we get that
, so we can rewrite our expression as follows:
Next, we are going to use the trig identity:
to completely simplify our expression:
We can conclude that
Answer: 6.403 miles; or, write as: 6.403 mi. .
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Explanation:
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5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
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Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
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→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
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Given : a = 4; b = 5 ;
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Plug these known values into our equation:
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→ 4² + 5² = c² ;
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→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
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→ c² = 41 ;
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→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
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→ √(c²) = √(41) ;
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→ c = √41 ; Use calculator;
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→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
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8%×n=2. 2÷8/100=2×100/8=100/4=25. so the answer is 25.
C
6*3=18
6*8= 48 and 3*8=24
24*48= 1152
1152/18=64
Answer:
a change in the state of matter
Step-by-step explanation:
