Answer:
416 in²
Step-by-step explanation:
Given that:
Height. h = 4 in
Length = 12 in
Width = 10 in
The surface area of a rectangular prism is obtained using the relation :
Surface Area, S = 2(lw + lh + wh)
S = 2[(10*12) + (10*4) + (12*4))
S = 2(120 + 40 + 48)
S = 2(208)
S = 416 in²
Answer:
(3, 4 )
Step-by-step explanation:
5x + 3y = 27 → (1)
2x + y = 10 ( subtract 2x from both sides )
y = 10 - 2x → (2)
substitute y = 10 - 2x into (1)
5x + 3(10 - 2x) = 27
5x + 30 - 6x = 27
- x + 30 = 27 ( subtract 30 from both sides )
- x = - 3 ( multiply both sides by - 1 )
x = 3
substitute x = 3 into (2)
y = 10 - 2(3) = 10 - 6 = 4
solution is (3, 4 )
<span>Perimeter =2w+2L= 520.
We can solve this by understanding that the area is maximized by a square
Therefore L=w.
p=2w+2w=520=4w
w=130
Area
A=wL=130(130)= 16900 square yards</span>
This is system of Equations.
<span>2x + 3y =10
x + y = 3
</span>
x + y = 3 (multiply this by three) to get 3x + 3y = 9
2x + 3y =10
3x + 3y = 9 Subtract them
-1x = 1
x=-1
Now plug x back into the top equation and solve for y.
I hope this helps! If not, let me know! Have a fantastical day!
Answer:
y = 36x
Step-by-step explanation:
Given that x and y vary directly then the equation relating the is
y = kx ← k is the constant of variation
To find k use the condition x = 
, y = 12, then
k = 
= 
= 12 × 3 = 36
y = 36x ← equation of variation
