For your science class, you have to build a miniature model of the polar bear habitat at the zoo. after talking with the zookeepers, you learn that the habitat is 20 feet long, 15 feet wide and 25 feet high. you are going to design your model so that its linear dimensions are 20 times smaller than the actual habitat. what is the height of your model (in inches)? [12 inches in 1 foot]

12 in

9 in

25 in

15 in

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204