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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Complete question is;
A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.
Which of the following could be the lengths of the shadows?
Choose 2 answers from the options attached.
Answer:
Options B & D
Step-by-step explanation:
From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.
Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;
3/x = 6.8/y
Let's make y the subject.
y = 6.8x/3
Looking at the options;
Option A: When x = 1.35 m, we have;
y = (6.8 × 1.35)/3 = 3.06 m
For Option B:
When x = 1.8 m,
y= (6.8 × 1.8)/3 = 4.08 m
For Option C:
When x= 3.75 m,
y = (6.8 × 3.75)/3 = 8.5 m
For option D:
When x = 0.6
y = (6.8 × 0.6)/3 = 1.36 m
For option E;
When x = 2,
y = (6.8 × 2)/3 = 4.533 m
From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D
