Answer:

Step-by-step explanation:
l = prt
r = l/pt
Answer: x=63, y=52, z=48
Step-by-step explanation:
The complete question in english is:
The sum of 3 natural numbers is 163. By subtracting the third number from the sum of the first two numbers, we get 67. By subtracting the first number from the sum of the last 2 numbers, we get 37. Determine the 3 numbers
According to this we have a system with three equations and three unknown values:
(1)
(2)
(3)
Let's begin by isolating
from (1):
(4)
And substitute (4) in (2):
(5)
Isolating
:
(6) We have found the first number
Substituting (6) in (1):
(7)
Adding (7) to (3):

We have the following:

Isolating
:
(8) This is the second number
Substituting (6) and (8) in (1):
(9)
Isolating
:
(10) This is the third number
Answer:
3/4
Step-by-step explanation:
We can find the slope using two points
( 0,-5) and ( 4,-2)
The slope is given by
m = ( y2-y1)/(x2-x1)
= ( -2- -5)/( 4-0)
= (-2+5)/(4-0)
=3/4
Answer:
1) Trepzoid
2) Hexagon
Explanation:
A two-dimensional shape is rotated to form the solid object shown in the figure. This two-dimensional shape can be created by rotating a <u>trapzoid</u> about its base. Another two-dimensional shape that can give this shape is a <u>hexagon</u> rotated about a line joining two opposite vertices.
Trapzoid: It is figure whose two sides are parallel and other two sides are non-parallel. Please take a look attachment for trapzoid. If we rotate trapzoid with longer parallel side we will get same 3-D figure as shown in diagram.
hexagon: It is polygon which has six sides. If we rotate hexagon with their opposite vertices. we will get same 3-D figure as shown in diagram. Please see the attach file.