Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48
Answer: Hello your question is missing some details but I will provide a general solution based on the scope of the problem and you can plugin the missing value
answer = Volume of rectangular prism box / volume of cube
Step-by-step explanation:
To determine the number of Dice that will fit in the rectangular prism box
First : calculate the volume of the cube box ( dice )
volume of a Cube box : V = L^3 where L = side length
next : calculate the volume of the rectangular prism box
volume of rectangular prism box = L * b * h
L= length , b = width , h = height
final step : Divide the volume of the rectangular prism box by the volume of the cube box ( dice )
= ( L * b * h ) / ( L^3 )
Answer:
f= -14
Step-by-step explanation:
Answer:
1. 24 cubic units
2. 180 cubic units
3. 1/16 cubic units
Step-by-step explanation:
<u>Question 1</u>
Volume of a rectangular prism = width × length × height
= 3 × 4 × 2
= 12 × 2
= 24 cubic units
<u />
<u>Question 2</u>
Volume of a rectangular prism = width × length × height
= 5 × 12 × 3
= 60 × 3
= 180 cubic units
<u>Question 3</u>
Volume of a rectangular prism = width × length × height
= 1/4 × 1/2 × 1/2
= 1/8 × 1/2
= 1/16 cubic units
Answer:
∠ A ≈ 48°
Step-by-step explanation:
Using the Cosine rule to find an angle
cosA = 
with a = 10, b = 13 and c = 11
cosA = 
= 
= 
, thus
A = 
( ) ≈ 48° ( to the nearest degree )
