Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
Let, the length be l and breadth be b.
So, 2(l + b) = 26
Or, l + b = 13
Or, l = 13 - b
So, we may write like this,
Area = l * b
Or, l * b > 30
Or, l (13 - l) > 30
Or, 13l - l^2 > 30
Or, l^2 - 13l + 30 > 0
Or, l^2 - 3l - 10l + 30 > 0
Or, l(l - 3) - 10(l - 3) > 0
Or, (l - 3)(l - 7) > 0
Or, l - 7 > 0
Or, l > 7.
Now, putting the value of l,
We get, l * b > 30
Or, 7 * b > 30
Or, b > 30/7
➡️ Therefore, we get,
Length > 7
Breadth > 30/7
That's it..
Answer:
x = 36
y = 37.95
Step-by-step explanation:
By geometric mean property:
By Pythagoras Theorem:

You have to find the GCF of 140 and 180.
The GCF is 20 so thats your answer.
Answer:
The answer is 743.4 square inches
Step-by-step explanation:
1. find the length- 2 x 40=80 cm
2. find the width- 1.5 x 40= 60cm
3. find area (Length x width)- 80 x 60= 4800 square cm
4. find length but in inches- 1in=2.54cm length=80/2.54 = 31.5 inches
5. find width but in inches- width= 60/2.54= 23.6 inches
6. Find area(length x width)- 31.5 x 23.6= 743.4 square inches