Grady marks down some $2.49 pens to $1.99 for a week and then marks them back up to $2.49. Find the percent of increase and the
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Answer:
The angle is approximately .
Step-by-step explanation:
We should start with a diagram (like the one attached). Notice the length of the tower and the length of the shadow are the legs of a right triangle, and the angle of elevation is an acute angle of that triangle.
Since we are given the opposite and adjacent sides to the angle, we will use the tangent function:
In this case, the opposite side is the height of the tower, 166 ft. The adjacent side is the length of the shadow, 167 ft. So, we have:
To get the angle, we need to use inverse tangent:
The angle is approximated when rounded to the nearest degree.
The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
<u>The lost weight of a pair of boys is 120 kg</u>
Reasons:
Let <em>a</em>, <em>b</em>, <em>c</em>, and <em>d</em><em> </em>represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;
Which gives;
₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
- c + d = Lost weight
a + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
- <u>The lost weight = 120 kg</u>
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