Answer:
170 min
Step-by-step explanation:
We know that there is a kinetics of the first order, which has the following equation:
ln ([A] t / [A] o) = -k * t
Solving for t:
t = - ln ([A] t / [A] o) / k
How we want to know is the time required with 10%, so [A] t / [A] o = 100% - 10%, that is, 90% = 0.9. We also know that k = 6.2 * (10 ^ -4)
Knowing this, we replace:
t = - ln (0.90) /6.2 * (10 ^ -4)
t = 170 min
Which means it will take 170 minutes.
Answer:
261 ft²
Explanation:
This entire shape can be divided into one square and four triangles.
Area of square:
Side² = 9² = 81 ft²
Area of four triangles:
4 × 1/2 × base × height
2 × 9 × 10
180 ft²
Total Area:
180 + 81 = 261 ft²
The answer is: "3" .
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Use the Pythagorean theorem (for right triangles):
a² + b² = c² ;
in which "a = "side length 1" (unknown; for which we which to solve);
"b" = "side length 2" = "√3" (given in the figure) ;
"c" = "length of hypotenuse" = "2√3" (given in the figure);
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a² + b² = c² ;
a² = c² − b² ;
Plug in the known values for "c" and "b" ;
a² = (2√3)² − (√3)² ;
Simplify:
(2√3)² = 2² * (√3)² = 2 * 2 * (√3√3) = 4 * 3 = 12 .
(√3)² = (√3√3) = 3 .
a² = 12 − 3 = 9 .
a² = 9
Take the "positive square root" of EACH SIDE of the equation; to isolate "a" on one side of the equation; & to solve for "a" ;
+√(a²) = +√9 ;
a = 3 .
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The answer is: "3" .
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So I’m assuming you’re saying that 1 cm=6 m so if the kitchen is 4 cm in the drawing it has to be scaled up by 6 for each centimeter. So 4*6=24 so the kitchen is 24 meters long. Hope this helps!
