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36(2) * 30
36(2) = 72
72 * 30 = 2,160
3^3 = 3 * 3 * 3 = 9 * 3 ➡️ 27 ❌
3^4 = 3 * 3 * 3 * 3 = 9 * 9 ➡️ 81 ❌
3^8 = 6,561 ❌
3^12 = 531,441 (maybe)
Answer: Option D. 3^12 ☑️
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Answer:
55 deg 30 Minutes = 55.5 degrees
sin = opp/hyp
sin(55.5) = altitude/10
Altitude = 10*sin(55.5)
Altitude = 10 * sin(55.5) = 8.241261886
Rounded to nearest 10th
Altitude = 8.2 cm
b. for base use Low of Cosines
Let C = base
Side A and B = length 10 Cm
c^2 = 2*a^2 -2a^2*cos(<C)
<C = 180 - 2*55.5 = 180 -111 = 69 degrees
c = sqrt ( 2a^2 - 2a^2*cos(<C)
c = sqrt ( 2*100- 200*cos(69))
c = sqrt (200 - 200*cos(69) ) = 11.32812474
Answer base
c = 11.3 cms
c.
Area = (1/2)*b * h
Area = (1/2)*(answer a * answer b)
Area = (1/2)* 11.32812474* 8.241261886 = 46.67902132
Area = 46.7 (rounded)
Area = ( 1/2) * a*b*sin(<C) = (1/2)*10*10*sin(69) =
Area = 50* sin(69) = 46.67902132
Area = 46.7 (rounded)
Step-by-step explanation:
It would be option B. the scale factor is 2:1
Answer:
576 cubic ft
Step-by-step explanation:
Volume of prism is = area of base of prism * height
given prism is rectangular with length of 8 feet and width of 6 ft
area of rectangle is = length * width
for the given prism area of base = 8 * 6 = 48 square ft
height of prism = 12ft
therefore volume of prism = area of base of prism * height
= 48 square ft *12 ft = 576 cubic ft