To determine how much will it take to clean a 120ft driveway considering that it took him 2hs to clear 10ft and that the cleaning rate is constant, you can use cross multiplication:
10ft______2hs
120ft_____xhs
If the cleaning rate is the same, then the ratios between both are the same:
From this expression, you can determine the time by multiplying both sides of the equal sign by 120
It will take him 24 hours to clear the 120ft driveway.
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
<h3>What is an integer exponent?</h3>In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
After using the properties of integer exponent:
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
Learn more about the integer exponent here:
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Answer:
x = 14.04°
Step-by-step explanation:
Find x using the tangent ratio in the right triangle, that is
tan x = =
=
Hence
x = (0.25) = 14.04°