Answer:
19 - 8√3
Step-by-step explanation:
(-4 + √2)^2
= (-4)^2 + 2(-4)(√3) + √3)^2
= 16 - 8√3 + 3
= 19 - 8√3
Answer:
106
Step-by-step explanation:
just subtract 243-137
The volume of the frustrum is the difference in the volumes of these two pyramids:
<span>30 * 5^2 / 3 - 18 * 3^2 / 3 </span>
<span>= 750/3 - 162/3 </span>
<span>= 250 - 54 </span>
<span>= 196 cubic inches.
</span>
You're Answer is <span>A- 196 cu in.</span>
The height of the tree is 42.
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
