The <span>fraction is equivalent to 0.333333 is 1/3. </span>
Given the expression
To solve this equation you have to solve the multiplication on the term of the left to get rid of the ( ), so that both sides are expressed in the same way.
To solve the parenthesis you have to apply the distributive property of multiplication:
Now is time to rearrange the equation so that all terms related to the unknown value "p" stay in one side of the = sign and all other values stay in the other side.
To "pass" the term from one side to the other side, you have to perform the inverse operation, this is, if the number is being added, you have to subtract it.
For the equality to continue to be valid, every operation you do in one side of the equation has to be done in the other side, so:
24 is being subtracted in the equation, so the inverse operation will be to add it to both sides of the equation, on the right side the opposing operations will undo each other and it would seem as if it "passed" to the right side:
Next is to pass the term "6p" from the rigth side of the = sign to its left side. As before, to do so you have to perform the inverse operation in both sides of the equation to keep the equality.
"6p" is negative, so the inverse operation will be to add it to both sides of the equation:
Finally you see that p is being multiplied by 12 and you need to know the value of p alone so to cancel this multiplication you have to perform the inverse operation, which is a division. And since you need to mantain the equality in both sides of the sign, you have to divide both sides by 12:
The answer to both the subparts using the circumference of the circle is:
- (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
- (B) The area of green space on the track is 0.64m².
<h3>What is a length of a rectangle?</h3>
- The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.
What is a circumference of a circle?
- The distance along a circle's perimeter is referred to as its circumference.
- Circumference of the circle formula: C = 2πr.
Here,
(A) A circuit of a racetrack is equal to the sum of the two lengths of a rectangle and the circumference of the circle.
We get:
- = 84.39 * 2 + 73π
- = (168.78 + 73π)m
(B) Let the area of the green space of the track is x.
Then, calculate as follows:
- 168.78 + xπ = 400
- x = (400 - 168.78)/π
- x = 73.64m
So, the inner circle of distance is 73.64 - 73 = 0.64m.
Therefore, the answer to both the subparts using the circumference of the circle is:
- (A) If an athlete runs around the track then the athlete traveled (168.78+73π)m.
- (B) The area of green space on the track is 0.64m².
To learn more about the circumference from the given link
brainly.com/question/18571680
#SPJ13
Answer:
Step-by-step explanation:
The triangles are set up so we see that angle A and angle D are congruent. We also know that, by the definition of vertical angles, angles CED and BEA are congruent. That means, by the Triangle Angle-Sum Theorem, that angles C and B are also congruent. That does NOT mean, however, that the triangles are congruent because their corresponding side lengths are not the same. What it does mean is that the triangles are similar. If we were to pull them apart and set them next to each other, our triangle similarity statement would be that ΔECD ~ ΔEBA. That means that their corresponding sides exist in proportion to one another. Namely, side ED is proportional to side EA, and side CD is proportional to side BA. That's all we need to find the length of BA, the distance across the lake. The proportion is set up like this:
and fill in the distances:
Cross multiply to solve for BA:
400BA = 420000 so
BA = 1050 feet
Answer:
1=0 2
Step-by-step explanation: