Answer:
yes
Step-by-step explanation:
from sss axiom
we can say that they are congurqnt
Answer:
4) 216
5) 216%
6) It's just like the bird's eye view of the tank, exept it's 2d.
Step by step solutions:
4) Draw a cube. Draw another cube but smaller. Label sides of the big cube 6x and the small cube x. Find the volume of each, which are 216x^3 and x^3. Divide (216x^3)/(x^3) and you get 216 times.
5) It wants percentage of big over small, so redraw the diagrams from #4 and instead of x, set x as 2. So the big sides are 12 and the small sides are 2. But you should write the sides as 2*6 and 2. Then, you calculate the volumes: 12^3 = 1728 and 2^3 = 8. Percentage of small tank over big tank would be 8/1728, but we want the opposite. We want something bigger than 1. So, we take the reciprocal and we get 1728/8 % = 216%. All along, the times was the percentage.
6) Draw a cube and draw a cube or a rectangular prism, but be warned, we don't know exactly what shape it is. Hint: just do a cube with a little exagerated side length just in case teacher is bad. OK back to this. Then, draw a line through the cube/rectangle and you get a rectangle-like shape.
To solve this problem you use the "Triangle Inequality Theorem" it states that: any side of a triangle is always shorter than the sum of the other two sides.
Using this theorem we check each side
5+7=12: this is greater than the other side which is 11, so this works
11+7= 18: this is greater than the other side which is 5, so this works
5 + 11= 16: this is greater that the other side which is 7, so this works
So you do g of x first which is root of -4 and then sub that into f of x to get root minus 4 to the power of 4 - 2 root -4 squared + 2 which is the same as (((-4)^1/2)^2) - 4 times -4 + 2 which is the same as -4^2+16 +2 which is the same as 16+16+2 which is 34. Hope this helps :)
