Answer:
Step-by-step explanation:
Given
Let R represents rows and C represents Columns
When R = 8, C = 25
When R = 10, C = 20
Required
Given that there exist an inverse variation, determine the constant of proportionality;
We start by representing the variation;
Convert proportion to an equation
Where k is the constant of proportion;
Multiply both sides by C
Reorder
<em>When R = 8, C = 25;</em>
<em>The equation </em> <em>becomes</em>
<em>When R = 10, C = 20;</em>
<em>The equation </em> <em>becomes</em>
Hence, the concept of proportionality is 200
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
Answer:
Get Vectored !!
Step-by-step explanation:
Answer:
The solution is x = 9, y = -1.
Step-by-step explanation:
x + y = 8
x - y = 10 Adding to eliminate y:
2x + 0 = 18
x = 9 Substituting x = 9 into the first equation:
9 + y = 8
y = 8 - 9
y = -1..
Answer:
Step-by-step explanation:
<em>1).</em> 
x = 0 ⇒ <em>x = 0</em>
<em>2).</em> 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ <em>x = - 6,3</em>
<em>3).</em> ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ <em>x = 3</em> <u><em>или</em></u> <em>x = - 4</em>
<em>4).</em> 23,5 | x | = 0 ⇒ | x | = 0 ⇒ <em>x = 0</em>
