Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
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The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
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<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
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Answer:
$342
Step-by-step explanation:
Complete question
Find the simple interest on $1900 at 9% for 2 years.
Simple interest PRT/100
Given
Principal P = 1900
Rate R = 9%
Time T = 2years
Substitute
Simple interest = 1900*9*2/100
Simple interest = 19*18
Simple interest = $342
Hence the simple interest on $1900 at 9% for 2 years is $342
Answer:
(a) 
(b) We cross multiply the probability by the total voters
(c) 9347
Step-by-step explanation:
(a)
Probability of getting a republican voter is


These are found by dividing the first numerator and denominator by 2, then by 3
To make it complete, the situation is therefore defined as
where y is unknown value
(b)
Cross multiplication of the probability and number of voters gives the actual figure of y in the equation formed in part a of the question.
(c)
Since we have 15240 voters who plan to participate in election, we cross multiply to get the approximate number of republican voters which yields
