Answer:
Since k is constant, we can find k given any point by multiplying the x-coordinate by the y-coordinate. For example, if y varies inversely as x, and x = 5 when y = 2, then the constant of variation is k = xy = 5(2) = 10. Thus, the equation describing this inverse variation is xy = 10 or y = .
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Sum of interior angles of a polygon = (n-2)180 [where n = no. of sides]
(n-2)180 = 720
n-2 = 720/180 = 4
n-2 = 4
n = 4+2 = 6
So it is a 6 sided shape (Hexagon)
Answer:
54
Step-by-step explanation:
multiply 60 by 0.9 and you get 54..?
Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.
<h3>What is volume?</h3>
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³
The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³
Now, the number of boxes that can fit in the cargo hold of the truck will be,
Number of boxes = (Volume of truck container)/(Volume of box)
= 843.75/15.625
= 54
Hence, the number of boxes that can fit in the cargo hold of the truck is 54.
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To factor binomials and trinomials in one variable, you look for the common factors in the terms
<h3>How to factor a binomial and trinomial?</h3>
Binomials are polynomials with two terms while trinomial have three terms.
For instance, we have:
- Binomial: x^2 - 4
- Trinomial = x^2 + 4x + 4
To factor x^2 - 4, we use the following steps:
x^2 - 4
Express 4 as 2^2
x^2 - 4 = x^2 - 2^2
Apply the difference of two squares
x^2 - 4 = (x - 2)(x + 2)
To factor x^2 + 4x + 4 we use the following steps:
x^2 + 4x + 4
Express 4x as 2x + 2x
x^2 + 4x + 4 = x^2 + 2x + 2x + 4
Factorize
x^2 + 4x + 4 = x(x + 2) + 2(x + 2)
Factor out x + 2
x^2 + 4x + 4 = (x + 2)x + 2)
Rewrite as:
x^2 + 4x + 4 = (x + 2)^2
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