Answer:
C. 8
Step-by-step explanation:
![\because \: {s}^{3} = 64 \\ s = \sqrt[3]{64} \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length = \frac{4}{2} = 2 \\ \: new \: volume = {2}^{3} = 8 \: cubic \: units](https://tex.z-dn.net/?f=%20%5Cbecause%20%5C%3A%20%20%7Bs%7D%5E%7B3%7D%20%20%3D%2064%20%5C%5C%20s%20%3D%20%20%5Csqrt%5B3%5D%7B64%7D%20%20%5C%5C%20s%20%3D%204%20%5C%5C%20side%20%5C%3A%20of%20%5C%3A%20cube%20%3D%204%20%5C%3A%20units%20%5C%5C%20when%20%5C%3A%20side%20%5C%3A%20is%20%5C%3A%20halved%20%5C%5C%20new%20%5C%3A%20side%20%5C%3A%20length%20%3D%20%20%5Cfrac%7B4%7D%7B2%7D%20%20%3D%202%20%5C%5C%20%20%5C%3A%20new%20%5C%3A%20volume%20%3D%20%20%7B2%7D%5E%7B3%7D%20%20%3D%208%20%5C%3A%20cubic%20%5C%3A%20units)
Answer:
784 x 7858 = 6160672
Step-by-step explanation:
With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.
Slope = change I. Y over the change in X
Slope = (5-4) /(3-2) = 1/1 = 1
Slope = 1
The area of the sector is
.. Asector = (1/2)r^2*θ = (1/2)*(8.35 ft)^2*(π*260°/180°) ≈ 158.195 ft^2
The area of the triangle is
.. Atriangle = (1/2)r^2*sin(θ) = (1/2)*(8.35 ft)^2*sin(100°) ≈ 34.332 ft^2
The shaded area is
.. A = Asector +Atriangle
.. = 158.195 ft^2 +34.332 ft^2
.. ≈ 192.5 ft^2
