<span> Two rectangles, one lying completely within the other. The area between the rectangles is shaded. Two adjacent sides of the larger rectangle are labeled sixty feet and forty feet. The shaded area is labeled four foot border.
Area of larger rectangle = 60 ft * 40 ft = 2400 ft</span>²
Area of smaller rectangle = (60-4)ft * (40-4)ft = 56 ft * 36 ft = 2,016 ft²
Area of the border = 2,400 ft² - 2,016 ft² = 384 ft²
Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
-----> 
For x=2, y=9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
-----> 
For x=2, y=5
Find the value of k
-----> 
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
-----> 
For x=2, y=-9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
-----> 
For x=2, y=8
Find the value of k
-----> 
For x=3, y=12
Find the value of k
-----> 
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is 
Answer:
9
Step-by-step explanation:
18 + 18 is like 36 divied by 2 is 18 then dvide that by two is 9 so 9
Answer:2/3
Step-by-step explanation:There are 52 cards in a standard deck: 13 ordinal cards (Ace - 10, Jack, Queen, King) and 4 of them - one to each suit (hearts, diamonds, clubs, spades) and so we have
4
×
13
=
52
.
There are 8 cards that fit the question (4 each of aces and kings).
And so in a random draw, the odds of drawing one of those 8 cards out of the total number of 52 is:8/52
which we can simplify:
8/52=2/13
Answer:
Option a)
Step-by-step explanation:
The given formula seems to represent the volume of right circular cone. The correct formula is:

We have to rearrange the formula for h. This means we have to move h on one side of the formula and all the other variables and constants on the other side of the equation. This can be done as shown below:
