Answer:
dceoi hchis hurhgj
Step-by-step explanatiicdeon:
Answer:
120 seconds
Step-by-step explanation:
To solve this question you have to make equation of both gallon.
Gallon 1 have 130 gallons of water at the start and filled by 1/4 gallon each second. If x equal to the time in seconds, the equation of gallon 1 volume will be:
g1= 130+ 1/4x
Gallon 1 have 200 gallons of water at the start and drained by 1/ 3 gallon each second, the equation of gallon 2 volume :
g2= 200- 1/3x
When gallon 1 volume equal to gallon 2, it mean g1=g2
g1= g2
130+ 1/4x = 200- 1/3x
130- 200= -1/3x -1/4x
-70= - 4/12x - 3/12x
-7/12x= -70
7/12x= 70
x= 70*12/7
x= 120
Answer:
1. 52° + x° + 67° = 180°
2. x° + 22° = 90°
Step-by-step explanation:
1. In the first figure,
Since the angles given are supplementary angles i.e. their sum is 180°
So, we get,
52° + x° + 67° = 180°
i.e. x° = 180° - 119°
i.e. x° = 61°
Thus, the expression to find the value of x is 52° + x° + 67° = 180°.
2. In the second figure,
Since the angles given are complementary angles i.e. their sum is 90°
This gives us,
x° + 22° = 90°
i.e. x° = 90° - 22°
i.e. x° = 68°
Hence, the expression to find the value of x is x° + 22° = 90°
Answer:
the dimensions of the most economical shed are height = 10 ft and side 5 ft
Step-by-step explanation:
Given data
volume = 250 cubic feet
base costs = $4 per square foot
material for the roof costs = $6 per square foot
material for the sides costs = $2.50 per square foot
to find out
the dimensions of the most economical shed
solution
let us consider length of side x and height is h
so we can say x²h = 250
and h = 250 / x²
now cost of material = cost of base + cost top + cost 4 side
cost = x²(4) + x²(6) + 4xh (2.5)
cost = 10 x² + 10xh
put here h = 250 / x²
cost = 10 x² + 10x (250/ x² )
cost = 10 x² + (2500/ x )
differentiate and we get
c' = 20 x - 2500 / x²
put c' = 0 solve x
20 x - 2500 / x² = 0
x = 5
so we say one side is 5 ft base
and height is h = 250 / x²
h = 250 / 5²
height = 10 ft
