Answer:
č= 67°
Step-by-step explanation:
x + 78+35=180
x + 113=180
x= 180-113
x= 67 degrees
Answer:
hypothesis
Step-by-step explanation:
If <em>hypothesis</em> then <em>conclusion</em>
Answer: if its a true or false question then yes 40 is a rational number
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
a) Natalie basic salary is $300 per week. She is paid a commission of 30% of her total sales for the week. Therefore her total weekly salary per week is given by:
Total weekly salary = Basic salary + Commissions
If Natalie makes $225 in sales, her commission = 30% of $225 = 0.3 × $225 = $67.5
Total weekly salary = Basic salary + Commissions = $300 + $67.5
Total weekly salary = $367.5
b) If Natalie makes $x in sales, her commission = 30% of $x = 0.3 × $x = $0.3x
Total weekly salary = Basic salary + Commissions = $300 + $0.3x
Total weekly salary = $(300 + 0.3x)
Answer:
72 feet from the shorter pole
Step-by-step explanation:
The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.
The shorter pole height as a fraction of the total pole height is ...
18/(18+24) = 3/7
so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:
d/168 = 3/7
d = 168·(3/7) = 72
The wire should be anchored 72 feet from the 18 ft pole.
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<em>Comment on the problem</em>
This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.
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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:
L = √(18²+x²) + √(24² +(168-x)²)
and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.