PLEASE HELP I WILL MARK BEAINLIST
1 answer:
Answer:
5981.25 m²
Step-by-step explanation:
1. Divide the court into two sections. One section being the semicircle, the other being the rectangle.
2. Multiply 100 by 50 to get the area of the rectangle, which is 5000.
3. Divide 50 by 2 to get the radius of the semicircle, which is 25.
4. Find the formula used for area of a semicircle A = r²
5. Insert 25 into where the "r" is in the equation: A = (25²), resulting in about 981.25. (I replaced
with 3.14)
6. Add the area of the rectangle with the area of the semicircle, 5000 + 981.25 = 5981.25.
7. The final answer is 5981.25 m².
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Answer: The equation is f(x) = ;
The piece of plastic has to have 10mm of thickness.
Step-by-step explanation: It is known that with 1 mm of thickness, 5% of the intensity is reduced. So, 95% of the light is transmitted.
For each milimetre added, "more" 95% of light is transmitted.
For example, if another milimetre of plastic is added, another 0.95 of light is transmitted:
0.95.0.95 = 0.9025 of light reach the visor
So, the model that relate thickness of plastic and intensity of light is:
f(x) =
in which:
f(x) is the intensity of light;
x is thickness in mm;
Using the equation, the thickness necessary to reduce intensity to 60% is:
f(x) =
0.6 =
log 0.6 = log
x. log (0.95) = log (0.6)
x =
x = 9.95
x ≈ 10
The thickness necessary to reduce intensity of light to 60% is 10mm.