Answer:
3 ft by 8 ft
Step-by-step explanation:
We were given the area as 24 square feet which means that
L×w= 24....eqn(1)
We were given the perimeter as 22 square feet which means that
22= 2(L +w).......eqn(2)
If we divide both cause by 2 in eqn(2) we have
11= L+ w .....eqn(3)
W= 11-L.........eqn(4)
Substitute eqn(4 into eqn(1)
L× (11-L)=24
-L^2 +11L-24=0
If we factorize
(L-8)(L-3)
L=3 or 8
From eqn4)
W=11-L
At L=3
W=11-3=8
Hence, the dimension is 3 ft by 8 ft
Answer:
940
Step-by-step explanation:
The scatter plot below shows the sales (in multiples of $1000) for the company over time (in months).
Also the sales can be modeled by the help of a linear function as:
y = 0.94x + 12.5.
Now we know that the company's sales increase per month is the slope of the linear function by which this situation is modeled.
We know that for any linear function of the type:
y=mx+c
'm' represents the slope and 'c' represents the y-intercept of the line.
Hence, by looking at the equation we get:
m=0.94
but as the sales are multiplied by 1000.
Hence,
0.94×1000=$ 940.
Hence, the company's sales increase per month is:
$ 940
I wish I could help but I don't know
Answer:
The surface area is 3317.52 inch^2
Step-by-step explanation:
The drum is in the shape of a cylinder, therefore..
Area of the drum
=2πrh+2πr^2
=2*π*12*32+2·π*12^2
= 3317.52 inch^2
3x + 4y = 38 ( equation 1) ----> ×5
5x - 5y = -30 ( equation 2) ----> ×3
When you multiply eqn 1 by 5 you get, 15x + 20y = 190
And when you multiply eqn 2 by 3, you get, 15x - 15y = -90
Then you solve both equations by subtracting eqn 2 from eqn 1
15x + 20y = 190
15x - 15y = 90
Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280.
So that gives 35y = 280
y = 8
And when you replace y = 8 in any of the two equations, x = 2
