a. The gradient is
b. The gradient at point P(1, 2) is
c. The derivative of 
at P in the direction of 
is
It looks like
so that
Then
Answer:
w = 21.4 ft
Step-by-step explanation:
Area of Trapezoid = Area = (a+b)/2 * h
Where a and b are the bases of trapezoid, and h is the height.
In the figure we are given:
a= 32.3 ft
b=w=?
h= 22.9 ft
Area = 614.865 ft²
Putting values in formula
Area = (a+b)/2 * h
614.865 = (32.3 + w) / 2 * 22.9
1229.73 = 32.3 + w * 22.9
1229.73 / 22.9 = 32.3 +w
53.7 -32.3 = w
=> w = 21.4 ft
Answer:
11 yards
Step-by-step explanation:
The room has two sides both measuring 10 feet 5 inches. This gives a total of 20 feet 10 inches. It also has the other two sides both measuring 6 feet 1 inch and that too gives a total of 12 feet 2 inches. Adding them all together results in 32 feet 12 inches. Better still, the perimeter of the room is derived as;
Perimeter = 2 (L + W)
Perimeter = 2 (10'5" + 6'1")
Perimeter = 2(16'6")
Perimeter = 32'12"
Having in mind our conversion rate of 12 inches equals 1 foot, the results can be properly expressed as 32 feet plus 1 foot which gives us 33 feet.
If the perimeter of Wendy's room is now given as 33 feet, the conversion rate between feet and yards can now be applied. Having been given that
3 feet = 1 yard
Then 1 yard = 3 feet/3, that is
y = 3/3
Hence,
y = 33/3
y = 11
The results show that Wendy would needs to buy a total of 11 yards of wallpaper border.
9514 1404 393
Answer:
pkr 324
Step-by-step explanation:
Person A spent 2/3 of the total money spent, so ...
(2/3)(pkr 486) = pkr 324 . . . spent by person A
