Answer:
the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)
Step-by-step explanation:
About 3 gallons of blue paint will be needed because if you add 175+175 it equals 350 and then add another 175 it equals 525.
Answer:

Step-by-step explanation:
In this problem, we have:
H = 452 m is the height of the Petronas tower
h = 1.75 m is the height of the woman
d = 120 m is the distance between the woman and the base of the tower
First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

Now we notice that
and
are the two sides of a right triangle, in which the angle of elevation is
. Therefore, we can write the following relationship:

since
H' represents the side of the triangle opposite to 
d represents the side of the triangle adjacent to 
Solving the equation for
, we find the angle of elevation:

By applying Cathetus theorem, the value of x is equal to 10 units.
<h3>How to determine the value of x?</h3>
In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.
In this context, we have:
x² = m × a
x² = (21 + 4) × 4
x² = 25 × 4
x² = 100
x = √100
x = 10 units.
Read more on Cathetus theorem here: brainly.com/question/11357448
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