Mason wants to use the fermi process to estimate the number of golf balls it would take to fill his bedroom. as part of the process, he needs to estimate the volume of his bedroom. he figures that his bedroom is about 20 ft long, 10 ft wide, and 10 ft high. which estimate best approximates the area of his bedroom? a) 2 × 10³ ft³
b) 2 × 10⁴ ft³
c) 2 × 10⁵ ft³
d) 2 × 10⁶ ft³

First option is correct.

Step-by-step explanation:

Since we have given that

Length of bedroom = 20 ft

Width of bedroom = 10 ft

Height of bedroom = 10 ft

We need to find the volume of bedroom.

As we know the formula for "Volume of cuboid":

So, Volume of bedroom would be

Hence, First option is correct.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

2500

step-by-step explanation: