Answer:
A) Swing arcs on both sides to intersect the first two arcs created.
Step-by-step explanation:
Bisecting a segment is cutting a line into two equal parts with a line bisector.
The steps involved are;
- Placing a compass on one endpoint
- Opening the compass to a width larger than half of the segment
- Swinging an arc on either side of the segment
- While maintaining the same width, place the compass on the other endpoint
- Swing arcs on both sides of the segment to intersect the first two arcs created
- Using a ruler placed at the points of intersection of the arcs, draw the line bisector.
Sasha was now at step four.
Answer:
i would say b
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Find the measures of interior angles in each triangle</u>
Triangle BGC
The measures of triangle BGC are 
Triangle CGH
we know that
-----> by consecutive interior angles
we have that
so
substitute
we have
remember that
The measures of triangle CGH are 
Triangle GHE
remember that
substitute and solve for m<GEH
The measures of triangle GHE are 
The paraboloid meets the x-y plane when x²+y²=9. A circle of radius 3, centre origin.
<span>Use cylindrical coordinates (r,θ,z) so paraboloid becomes z = 9−r² and f = 5r²z. </span>
<span>If F is the mean of f over the region R then F ∫ (R)dV = ∫ (R)fdV </span>
<span>∫ (R)dV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] rdrdθdz </span>
<span>= ∫∫ [θ=0,2π, r=0,3] r(9−r²)drdθ = ∫ [θ=0,2π] { (9/2)3² − (1/4)3⁴} dθ = 81π/2 </span>
<span>∫ (R)fdV = ∫∫∫ [θ=0,2π, r=0,3, z=0,9−r²] 5r²z.rdrdθdz </span>
<span>= 5∫∫ [θ=0,2π, r=0,3] ½r³{ (9−r²)² − 0 } drdθ </span>
<span>= (5/2)∫∫ [θ=0,2π, r=0,3] { 81r³ − 18r⁵ + r⁷} drdθ </span>
<span>= (5/2)∫ [θ=0,2π] { (81/4)3⁴− (3)3⁶+ (1/8)3⁸} dθ = 10935π/8 </span>
<span>∴ F = 10935π/8 ÷ 81π/2 = 135/4</span>
Water was pumped out in t-hours.
Time t would be the domain, 0 to t.
