Answer: 81 ft^2
Hello! The surface area of the rectangular prism will follow this process:
Right triangle area: (1/2)bh
So that 6ft (4.5ft) = 27ft^2/2; though when one multiplies that by 2 (as there are two right triangles), we get a surface area of 27ft^2.
For the rectangle's area, it's slightly more deviated since each face is different in length: bh
Face 1 = 3ft(7.5ft) = 22.5ft^2
Face 2 = 3ft(6ft) = 18ft^2
Face 3 = 4.5ft(3ft) = 13.5 ft^2
Thus, if we add these all together (27ft^2. + 22.5ft^2 + 18ft^2 + 13.5 ft^2), we get 81 ft^2
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> number of tennis balls
y ----> number of tennis rackets
we know that
To find out the ratio of tennis balls to tennis rackets, divide the number of tennis ball by the number of tennis rackets
In this problem we have

see the model in the attached figure N 1
so


This is the equation of a linear direct variation
The relationship between the variables x and y is proportional
see the model in the attached figure N 2
Answer:
see explanation
Step-by-step explanation:
The bar above the 3 indicates the 3 is being repeated, that is
0.13333....
We require to make 2 equations with the repeating 3 after the decimal point.
let x = 0.13333... , then multiply both sides by 10 then 100
10x = 1.3333 ← equation with repeating 3 after the decimal point
100x = 13.3333 ← second equation with repeated 3 after the decimal point
Subtracting the equations eliminates the repeated 3, that is
100x - 10x = 13.333 - 1.333
90x = 12 ( divide both sides by 90 )
x =
← divide numerator/denominator by 6, hence
0.1333... = 