Answer:
The triangular prism is a better deal because you get 204 in³ for the same price you would pay for 128 in³ with a trapezoidal prism.
Step-by-step explanation:
The trapezoidal prism has volume 32*4=128 cubic inches. The triangular prism has volume 34*6=204 inches. Since the triangular prism is more voluminous, it is the better deal. Hope this helps!
Part (a)
<h3>Answer: y1 and y3 are perpendicular</h3>
This is because the two slopes 2 and -1/2 multiply to -1. Perpendicular slopes multiply to -1 assuming neither line is vertical or horizontal.
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Part (b)
Graph each line to see where they cross. The three points of intersection are
(0,4)
(2,-2)
(4,2)
The order of the points doesn't matter.
You could also form three systems of equations pairing up the equations, and solving each system. That way you can find the points of intersection. Graphing may be a better and faster route in my opinion. See the diagram below.
Answer: ? = x + 1
Step-by-step explanation:
The perimeter of the garden is x + 3x + 1 + x + ?
The perimeter of the garden is also (6x + 2)
Therfore:
x + 3x + 1 + x + ? = 6x + 2
<em>Collect like terms: </em>
5x + 1 + ? = 6x + 2
<em>Subtract 5x from both sides:</em>
1 + ? = x + 2
<em>Subtract 1 from both sides:</em>
? = x + 1
You cannot find ? as a number, only in terms of x.
Answer:
6 < x ≤ 20
Step-by-step explanation:
First, let's use the points (0, 50) and (20, 0) to find the equation of the line.
m = Δy / Δx
m = (0 − 50) / (20 − 0)
m = -2.5
y = -2.5x + 50
Now find the time when y = 35.
35 = -2.5x + 50
-15 = -2.5x
x = 6
So there is less than 35 gallons in the barrel when 6 < x ≤ 20.
Answer:
As the average has increased the height of the new player must be more then the height of the player which was injured.
The difference between the previous average and the new average is 0.01 m.
Therefore the average is increased by 0.01 m.
Therefore the total height of all the players is increased by 0.01*11=0.11 m
Therefore as the increase in the total height is made by the player with height 1.85 m,the height of the player who was injured is 1.85–0.11=1.74 m
The height of the player who was injured is 1.74 m
Step-by-step explanation:
