The answer is: 24√6 .
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The question asks:
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"<span>What is the product of (3√8)(4√3)? Simplify your answer/
First, let us simplify: "</span>√8"
"√8 = √4*√2 = 2√2 ;
So, "3√8 = 3*2√2 = 6√2" .
So, "what is the product of "(3√8)(4√3)"?
Rewrite, replacing the "(3√8)" with "6<span>√2" ; as follows:
</span>6√2* 4√3 = 6*4 *√2*√3 = 24 *√(2*3) = 24√6 .
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L=(8/3)W = 24 ft. Solving for W, we mult. both sides of this eqn by (3/8), obtaining
W = (3/8)(24 ft) = 9 ft (answer)
Answer:
C and D
Step-by-step explanation:
1
The arc length is calculated as
arc = circumference of circle × fraction of circle
= 2πr × 
= 2π × 10 × 
= 
= 
cm → C
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2
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² ×
= π × 10² × = 
= 
cm² → D
<span>If Charles leaves the marina and sails his boat 10° west of north for 1.5h at 18km/h, then makes a right turn towards 60° east of north for 1.2h at 20km/h, he is 42 km from his starting point.</span>
The perimeter of a rectangle:
P = 2 L + 2 W
where L is the length and W is the width.
The area of a rectangle:
A = L x W
7/10 = L x 4/5
L = 7/10 : 4/5 = 7/10 * 5/4
L = 7/8 in
P = 2 * 4/5 + 2 * 7/8 = 8/5 + 14/8 = 64/40 + 70/40 = 134/40 = 3 14/40 =
= 3 7/20 < 3 1/2
Answer:
A silver line is long enough to outline the stone.
