Tan x = 8749/675
x= arctan (8749/675) arctan = tan^-1
x=85.59 degrees
First term = T(1) is obtained by plugging n = 1 into the formula,
thus First term = 1^2 - 4 = 1 - 4
= 3 (answer)
1. The table has a constant of proportionality of 4, therefore, the perimeter and side length of squares are proportional.
2. Equation for the proportion is, y = 4x.
Perimeter = 48 cm.
<h3>What is the Equation of a Proportional Relationship?</h3>
The equation that defines a proportional relationship is, y = kx, where k is the constant of proportionality between variables x and y.
1. For the table given:
y = perimeter
x = side length
k = constant of proportionality = 8/2 = 16/4 = 24/6 = 4.
Since k is the same all through, the equation can be modelled as y = 4x, which means the perimeter and side length of squares are proportional.
2. Using the equation, y = 4x,the perimeter (y) of a square when its side length is 12 (x) is:
y = 4(12)
y = 48 cm.
The perimeter (y) of the square is: 48 cm.
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Answer:
293 feet per second
Step-by-step explanation:
1056000 feet per hour
1 hour = 60 minutes
1056000 divided by 60 = 17600 feet per minute
1 minute = 60 seconds
17600 divided by 60 = 293 feet per second
Answer:
D: 850 cm^3
Step-by-step explanation:
You sum the volumes.
Prism is 15*5*7 = 525
Pyramid is 15*5*13/3 = 325
Sum is 850
