The surface area of the composite figure is; SA = 224 in.²
<h3>How to find the area of a Composite Figure?</h3>
From the composite figure attached, we can find the surface area of each of the rectangular/square external face seen as;
SA= 2(10 * 2) + 2(4 * 7) + 2(4 * 4) + 2(4 * 2) + (4 * 7) + (10 * 4) + (3 * 4)
SA = 40 + 56 + 32 + 16 + 28 + 40 + 12
SA = 224 in.²
Thus, we can conclude that the surface area of the composite figure is;
SA = 224 in.²
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Answer:
It's D
Step-by-step explanation:
Hope this helps :))
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:
To find the area of the circumscribed circle:
To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:
The area of the triangle is:
The semiperimeter of the triangle is:
The radius of the circle is therefore
The area of the inscribed circle then is .
Hope this helps!
the distance between points is:
d = 7.8 units
d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
The ordered pairs are:
(x1, y1) = (- 3, -2)
(x2, y2) = (2,4)
By applying the formula we have:
d = root ((2 - (- 3)) ^ 2 + (4 - (- 2)) ^ 2)
d = root (61)
d = 7.8
Answer:
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