Answer:
it is A. 60 in
Step-by-step explanation:
You need to use the Pythagorean theorem for this. Take the square root of (48^2 + 36^2). This will give you the length of the diagonal.
48^2 + 36^2 = 3600
Remember we need to take the square root of 3600, which is just 60.
The length of the diagonal is 60 inches.
Answer:

Step-by-step explanation:
We are given the following in the question:
A storage shed is to be built in the shape of a (closed) box with a square base.
Volume = 150 cubic feet
Let s be the edge of square base and h be the height.
Volume of cuboid =

where l is the length, b is the base and h is the height.
Volume of box =

Area of base =

Cost of concrete for the base = $4
Cost of base($) = 
Area of roof =

Cost of material for the roof = $2
Cost of roof ($) = 
Area of 4 walls =

Cost of material for the side = $2.50
Cost of material of side($) =

Total cost
= Cost of base + Cost of 4 sides + Cost of roof

is the required cost function.
Answer:
12
Step-by-step explanation:
48/4=12 x=12
Answer:
1603
Step-by-step explanation:
3^3*4^3-5^3
__________
3*3*3=9*3=27
4*4*4=16*4=64
5*5*5=25*5=125
(27*64)-125
1728-125
1603
Answer:
Area of triangle = 20√2
Step-by-step explanation:
Formula:
Area of triangle = bh/2
b - base of triangle
h - height of triangle
<u>Distance formula</u>
d = √(x₂ - x₁)² +(y₂ - y₁)²
From the figure we can see that, the given triangle is right angled triangle.
Base = AC and Height = AB
<u>To find AB and AC</u>
A(1,3), B(4,7) and C(9, -5)
AB = √(4 - 1)² +(7 - 3)² = √(3² + 4²) = 5
AC = √(9 - 1)² +(-5 - 3)² = √(8² + -8²) = 8√2
<u>To find the are of triangle</u>
Area = bh/2 = (5* 8√2)/2 = 20√2
Therefore the area of triangle = 20√2 square units