Answer:
5.7
Step-by-step explanation:
The altitude divides right triangle ABC into similar right triangles ADB and BDC. The ratios of short leg to long leg will be proportional in these similar triangles, so you have ...
AD/BD = BD/CD
Cross multiplying gives ...
AD·CD = BD²
(x+3)(2x+3) = 5²
2x² +9x = 16 . . . . . perform the multiplication, subtract 9
2(x² +4.5x) = 16
2(x² +4.5x +2.25²) = 16 +2(2.25²) . . . . . add 2(2.25²) to complete the square
2(x +2.25)² = 26.125 . . . . . write as a square
x +2.25 = √13.0625 . . . . . .divide by 2, take the positive square root
x = -2.25 +√13.0625 . . . . subtract 2.25 to find x
We want the value of CD, so ...
CD = 2x +3 = 2(-2.25 +√13.0625) +3
CD = -1.5 +2√13.0625 ≈ 5.7284
The length of CD is about 5.7 units.
Answer:
<u>V = 5,324 in^3</u>
Step-by-step explanation:
V = 4(
r^3)/3
= 4(3)(11^3)/3
= 12(11)(11)(11)/3
= 12(1,331)/3
= 15,972/3
<em><u>V = 5,324 in^3</u></em>
Answer:
Graph (1)
Step-by-step explanation:
Given equation of the graph is,
y = 20(1.25)ˣ
Table for the input - output values of the function,
x -2 -1 0
y 12.8 16 20
These points lie on curve (1).
Therefore, curve (1) will be the graph represented by the equation.
Answer:
For the first one, just make sure the sides add up correctly and include the sides it gives. The prism will be 9x1x8 = 82 inches cubed.
Step-by-step explanation:
Insta: lankey.t
