Answer:
The measurement of the circumference is 
or 
Step-by-step explanation:
The inquiry in English is
On a court, the main circumference is to be painted, with a diameter of 5 m. What is the circumference length?
we understand that
The circumference of a circle can be calculated with the formula
we possess
replace
This results in the precise measurement
let's consider
The volume, V of a cone is calculated using the formula V = (1/3)*π*(radius)^2 * height. This indicates that there are two variables involved: radius and height, resulting in multiple radius and height combinations producing the same volume. Therefore, the question lacks certain details. In my research, I came across a list of options for answers: a) radius 6 inches, height 3 inches b) diameter 6 inches, height 3 inches c) diameter 4 inches, height 6 inches d) diameter 6 inches, height 6 inches. Now, you can evaluate these options to determine which configuration results in a volume of roughly 28 cubic inches. a) with a radius of 6 in and height of 3 in yields V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3, which is not feasible. b) with a diameter of 6 in and a height of 3 in, implies a radius of 3 in, which results in V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3, making this the suitable choice. The other alternatives do not come close to matching the 28 in^3 volume target. The correct response is: diameter 6 inches, height 3 inches.
Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.
Answer:
x=2c/3+1
Step-by-step explanation:
First, subtract 2c from both sides.
−3x=−3−2c
The equation has been transformed into standard form.
−3x=−2c−3
Next, divide both sides by −3.
-3x/-3=-2c-3/-3
Dividing by −3 negates the multiplication by −3.
x=-2c-3/-3
Finally, divide −3−2c by −3.
x=2c/3+1
Response:
Volume of the trapezoidal prism = 15x^2 cubic units
Detailed explanation:
First, let’s calculate the area of the trapezoidal bases.
The lengths of the parallel sides are x and 2x, averaging to 1.5x.
The height stands at x
Consequently, area of the trapezoidal base comes out to be 1.5x * x = 1.5x^2
The volume of this prism is computed as area of the base multiplied by height
(the length is not a factor, but height certainly is)
Thus, 1.5x^2 * 10 yields 15x^2
