Answer: Thomas is 33 years old
Step-by-step explanation:
59-7=52
52÷2=26
26+7=33
So therefore Thomas is 33 years old
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
The equation of the line will be y = -3.9, and the height after rounding off will be -4.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The horizontal line can be defined as:
y = a
Where a is the constant.
Here a = -3.9
y = -3.9
The height = -3.9 ≈ -4
Thus, the equation of the line will be y = -3.9, and the height after rounding off will be -4.
Learn more about the straight line here:
brainly.com/question/3493733
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The answer is letter C. Because the y-intercept which is -2 and the slope is negative(which it should go down 2 steps). Originally the slope is rise over run which is 2/4 simplified as 1/2 or -1/2.
100% = 1.0
2.5% = 0.025
So now we know the decimal that corresponds to 2.5%, so all we have to do is multiply the price of the boat by this value in order to find the commission earned:
18 500 x 0.025 = $462.50
