Answer:
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Step-by-step explanation:
<em>Your question is incomplete without an attachment (See attachment)</em>
Required
Determine the area of the shaded part
From the attachment;
<em>Assume that the shaded portion is closed to the right;</em>
<em>Calculate the Area:</em>
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<em>Next;</em>
<em>Calculate the Area of the imaginary triangle (on the right)</em>
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<em>Lastly, calculate the Area of the Shaded Part</em>
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<em>Hence,</em>
<em>The area of the shaded part is 72in²</em>
Answer: 4z + 3
Step-by-step explanation:
Number of books read by Zeke = z
Michelle read twice as many book as Zeke. This will be: = 2 × z = 2z
Tay read 3 more books than Zeke. This will be: = z + 3
The expression that represents the total number of books read over the summer by Zeke, Michelle and Tay would be the addition of the books read by each person. This will be:
= z + 2z + z + 3
= 4z + 3
Answer:
(√2)/2
Step-by-step explanation:
The ratio of the radius of the circle to the side of the inscribed square is the same regardless of the size of the objects.
The radius of the circle is half the length of the diagonal of the square. For simplicity, we can call the side of the square 1, so its diagonal is √(1²+1²) = √2 by the Pythagorean theorem. The radius is half that value, so is (√2)/2. The desired ratio is this value divided by 1.
Scaling up our unit square to one with a side length of 3 inches, we have ...
radius/side = ((3√2)/2) / 3 = (√2)/2
_____
A square with a side length of 3 inches will have an area of (3 in)² = 9 in².
Recall that the area of a circle can be determined by the formula pi * r(squared). Since we are given the diameter, we can divide it by 2, giving us the radius. 10 / 2 = 5 Now that we have all of our values, we substitute them into the formula for area. 3.14 * 5(squared) This simplifies to 3.14 * 25 Which gives us 78.5 I hope that helps.
Calculate both of those per hour:
2/3 crate / hour
1.25 crates / 2 hours = 5/8 crates / hour
2/3 + 5/8 = 16/24 + 15/24 = 31/24 per hour =
124 / 24 crates in 4 hours = 5 (4/24) crates =
5 (1/6) crates per 4 hours
