M-6 is the expression that shows how far Allison has to run
Answer:
log(6) = x
Step-by-step explanation:
4log(216)=12x
Divide both sides by 12
log(216)/3 = x
Use properties of logs
log(216^(1/3)) = x
Simplify
log(6) = x
<h3>Answer:</h3>
w+x+y+z = 12
<h3>Explanation:</h3>
When right angle ADC is divided into three equal parts (trisected), each of those parts is 90°/3 = 30°. Thus, ∠CDB = ∠PBD = ∠PDB = 30°.
The sides of a 30°-60°-90° triangle are in the proportion 1 : √3 : 2. Hence BD = 2, and PD = PB = 2/√3 = (2/3)√3.
Then the perimeter of ∆BDP is ...
... perimeter ∆BDP = BD + DP + PB
... = 2 + (2/3)√3 + (2/3)√3
... = 2 + (4√3)/3 . . . . . . . . w=2, x=4, y=3, z=3
w + x + y + z = 2+4+3+3 = 12