8. Multiply the following numbers using scientific notation: (2 x 10^3)(2 x 10^4).
1 answer:
Answer:
<h2><u>Question 8 </u></h2>Multiply the following numbers using scientific notation: (2 x 10^3)(2 x 10^4).
(2 x 10^3) = 2*10*10*10 = 2000
(2 x 10^4) = 2*10*10*10*10 = 20000
2000*20000
=40 000 000
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Divide the following numbers using scientific notation: (4 x 10^2)/(1 x 10^3)
(4 x 10^2) = 4*10*10 = 400
(1 x 10^3) = 1*10*10*10= 1000
400/1000 = 0.4
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Perform the following calculation: (1 x 10^2)(2 x 10^3)/(1 x 10^2)
(1 x 10^2) = 1*10*10= 100
(2 x 10^3) = 2*10*10*10 =2000
100*2000 = 200 000
(1 x 10^2) = 1*10*10 = 100
200 000/100 = 2000
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Given:
θ = 60°
Radius = 8 in
To find:
The area of the shaded segment.
Solution:
Vertically opposite angles are congruent.
Angle for the shaded segment = 60°
<u>Area of the sector:</u>
A = 33.5 in²
Area of the sector = 33.5 in²
<u>Area of triangle:</u>
A = 32 in²
Area of the triangle = 32 in²
Area of segment = Area of sector - Area of triangle
= 33.5 in² - 32 in²
= 1.5 in²
The area of the shaded segment is 1.5 square inches.