Answer:
h=5in
Step-by-step explanation:
The following areas are equal:
1. Front and Back.
2. Left and right.
3. Top and Bottom.
Therefore, we calculate 3 areas and
multiply each by 2 to get the 6 areas:
As=2(3*h) + 2(10*h) + 2(10*3)=1901n^2.
6h + 20h + 60 = 190,
26h = 190 - 60 = 130,
h = 5in.
The length of the diagonal will be given by:
cos θ=adjacent/hypotenuse
θ=35°
hypotenuse=h
adjacent=80 inches=6.66667 ft
thus;
cos 35=6.66667/h
h=6.66667/cos35
h=8.1385 ft
diagonal=8.1385 ft
we conclude that the table will through the door diagonally.
Answer:
80
Step-by-step explanation:
First recall that:
1 inch=12 feet
The volume of cube-shaped boxes with 12-inch edges is 1 cm³
The volume of a box that is 4
feet tall, 4 feet long, and 5 feet wide is
given by:
We substitute l=4ft, w=5ft and h=4ft
To obtain:
Therefore 80 cube-shaped boxes with 12-inch edges can fit into a box that is 4
feet tall, 4 feet long, and 5 feet wide.
The answer is D. 28, 14/28 = 1/2.
Hope this helps:)
Answer:
-2x cos x + 2 sin x + C
Step-by-step explanation:
∫ (2x sin x) dx
If u = 2x, then du = 2 dx.
If dv = sin dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 2x (-cos x) − ∫ (-cos x) (2 dx)
= -2x cos x + 2 ∫ cos x dx
= -2x cos x + 2 sin x + C
