: David has saved $35 of the $140 he needs to purchase a new
1 answer:
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<h3>Answer:</h3>
The rules of exponents tell you ...
... (a^b)(a^c) = a^(b+c) . . . . . . applies inside parentheses
... (a^b)^c = a^(b·c) . . . . . . . . applies to the overall expression
The Order of Operations tells you to evaluate inside parentheses first. Doing that, you have ...
... x^(4/3)·x^(2/3) = x^((4+2)/3) = x^2
Now, you have ...
... (x^2)^(1/3)
and the rule of exponents tells you to multiply the exponents.
... = x^(2·1/3) = x^(2/3)
Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
