In this problem we need to solve for T. This means we need to get T on one side and EVERYTHING ELSE on the other side using inverse operations.
Let’s solve this formula for T:
*Formula solved for T
Let’s solve this formula for y:
*Inverse of mult. by -7 is div. by -7
*Formula solved for y
*Divide num. by -7
*Another way to write it
Since we are needing to find the circumference of a circle, we can use this formula:
The variables in this formula represent the following:
C = circumference of a
circle
r = radius
Plugging the values into the formula we get:
*Replace pi with 3.14 for an approximate value
*Multiply using approx. value
The number of yards that she runs in a workout is 1200 or approximately 3768.
Since we are looking for the side of a right triangle, we can use the Pythagorean formula:
The variables in this formula represent the following:
a and b = legs
of the right triangle
c = hypotenuse of the right
triangle
Plugging the values into the formula we get:
*Subtract 16 from both sides
*What squared gives you 9?
The distance from the ramp’s contact point with the ground and the base of the platform is 3.
Since part of the problem involves the area of the big square, we can use the formula :
The variables in this formula represent the following:
= area of the big
square
s1=
side of the big
square
Since part of the problem involves the area of the inner square, we can use also use the formula:
The variables in this formula represent the following:
= area of the inner
square
s2=
side of the inner
square
If we take the area of the bigger square and subtract out the area of the smaller square we will have the area of the border:
Plugging the values into the formula we get:
The area of the border is 80 square inches.
Last revised on August 3, 2011 by Kim Seward.
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