Answer:
1. The larger number is 2x + 7. The smaller number is x.
Let x be the smaller number
(7 + 2x) + x = 43
Since they are all in addition, we can get rid of the parenthesis.
7 + 2x + x = 43
2x and x are similar variables, we can add them both together.
7 + 3x = 43
7 + (-7) + 3x = 43 + (-7)
3x = 36
3x/3 = 36/3
x = 12
Let's check
[7 + 2(12)] + 12
(7 + 24) + 12
31 + 12 = 43
Using the percentage concept, it is found that 95.4% of the park will be used for other activities.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
In this problem, there will be two courts of 5,000 square feet each, totaling 10,000 square feet. The remainder 207,800 square feet will be used for other activities, hence the percentage is given by:
95.4% of the park will be used for other activities.
More can be learned about the percentage concept at brainly.com/question/10491646
A theorem states that, given a circle with center C and a point P on the circumference, the tangent line through P and the radius CP are perpendicular.
So, the answer is 90 degrees.
Let's evaluate ~
The given expression is :
plug the value of x as 3
Therefore, the required value is 20
Answer
16π cm ≈ 50.2655 cm
Step-by-step explanation
To find the circumference of a circle, we can use the equation C = 2πr.
C stands for the circumference while r stands for the radius. We can see that there is a proportional positive linear relationship between radius and circumference for all circles, and that to find circumference when we have a radius value, we multiply the radius value by 2π.
The value of π, also called pi, is a constant and is the ratio of a circle's circumference to its diameter (the diameter is twice the radius, hence the 2 in the equation). Note that π is a constant and applies to all circles because all circles are similar.
Since we know the value of r, or the radius, given as 8 cm in the question, we can plug this value into the equation C = 2πr from earlier.
C = 2πr (plug in 8 cm for the radius)
C = 2π * 8
C = 16π cm
Since the radius is in units of cm (centimeters), the circumference is also in units of cm (centimeters).
16π cm is the exact value of the circumference. However, if we want this circumference in decimal form, we would multiply 16 by the decimal form of π which is approximately 3.1416. Note that π actually has an infinite amount of decimals and that this 3.1416 is actually a rounded π value
C = 16π
C ≈ 16 * 3.1416
C ≈ 50.2655 cm rounded to four decimal places
