Answer:
528000 ft²
Step-by-step explanation:
The Pyramid Arena has a shape of a square pyramid. A square pyramid is a pyramid with a square base and the top point is directly above the center of the base. It consist of 5 faces (base and 4 triangles), 8 edges and 5 vertices.
Given:
length of base (b) = 600 ft and height of lateral face (h) = 440 ft.
Since the lateral faces are made of glass, the area of each lateral face is the same as the area of a triangle with base same as base length and height same as height of lateral face.
Therefore, area of each lateral face = 1/2 × b × h = 1/2 × 440 × 600 = 132000 ft²
The lateral faces are made almost completely of glass and they are 4 lateral faces, therefore the total area of the glass in the Pyramid Arena = 4 × 132000 ft² = 528000 ft²
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
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Answer:
- 8
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ 3, 5 ]
From the table
f(b) = f(5) = - 26
f(a) = f(3) = - 10
Hence
average rate of change = 
= 
= - 8
Answer: I’m pretty sure it’s 4.50%
Step-by-step explanation:
Well when you divide the number (1.045) by 100 you get 4.5 and so 4.5 of 1500 would give you the balance.
In the numerator, we can pull a 7 out of the expression 7x + 14 to get the product 7(x + 2). In the denominator, we can factor the expression 2x² + x - 6 like this:
Our fraction can now be written as
the only factor the numerator and denominator share in this case is x + 2.
