Answer:
105.12 feets
Step-by-step explanation:
From the figure x we can identify a rectangle and a semicircle :
Area of rectangle = Length * width
Area = 8 * 10 = 80 feet²
The Area of a semicircle = 1/2πr²
Radius, r = 8 /2 = 4 feets
A = 1/2 * 3.14 * 4²
A = 3.14 * 8
A = 25.12 feet²
Area of figure = 80 + 25.12 = 105.12 feets
La diferencia entre divisor y divisible es que los números compuestos (número que posee más de dos divisores) son los divisores y los números divisible son los números enteros como el 10,15,20,25 y 30.
espero que esto ayude
Answer:
1296√3 cubic units
Step-by-step explanation:
The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.
The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...
B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units
The volume of the prism is then ...
V = Bh = (108√3)(12) = 1296√3 . . . cubic units
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<em>Comment on the geometry</em>
The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.
Answer:
Sheet metal remaining = 4.1x
cost per square foot of sheet metal = $30
Step-by-step explanation:
Total sheet metal bought = 7.6 ft2
Total sheet metal used = 3.5 ft2
Given equation:
7.6x − 3.5x = 123
Where,
x = cost per square foot
7.6x − 3.5x
Sheet metal remaining = 4.1x
7.6x − 3.5x = 123
4.1x = 123
x = 123 / 4.1
x = $30
Cost per square foot = $30
Answer:
<h2>
x = −7 and x = 33</h2>
Step-by-step explanation:
