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777dan777 [17]
3 years ago
15

Five times two fifths

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:=2

Step-by-step explanation:

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10 ft
Gnom [1K]

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

4 0
3 years ago
Cual es la diferencia entre divisor y divisible
Anna [14]
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
7 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

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

_____

<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.

6 0
3 years ago
A contractor bought 7.6 ft2 of sheet metal. She has used 3.5 ft2 so far and has ​$123 worth of sheet metal remaining. The equati
Sergio039 [100]

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

5 0
3 years ago
What are the solutions of the equation (x−13)2=400?
Slav-nsk [51]

Answer:

<h2>        x = −7  and  x = 33</h2>

Step-by-step explanation:

(x-13)^2=400\\\\ (x-13)^2=(\pm20)^2\\\\x-13=20\quad\vee\quad x-13=-20\\\\x=33\qquad\vee\qquad x=-7

7 0
3 years ago
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