Answer: 2.54 is the rate of the given equation.
Step-by-step explanation:
Let x is the independent variable and y is the dependent variable.
Since, By the definition of proportionality,
y = k x
Where k is the constant of proportionality.
And, Here k = 2.54
Thus, the equation of line is,
y = 2.54 x
since, rate of the equation is the slope of the line.
And, the general equation of line
y = m x +c
Where, m is the slope of the line.
By comparing the equation of line y = 2.54 x with this.
The slope of the line = 2.54
Therefore, 2.54 is the rate of the given equation.
Answer:
AC = 12.5 cm
Step-by-step explanation:
use cosine law c^2 = a^2 + b^2 − 2ab cos(C)
c^2 = 6^2 + 10^2 - 2(6)(10)(cosin100)
c^2 = 156.84
c= √156.84
c= 12.5 cm
The cosine rule is used when we are given either three sides or two sides and the included angle.
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Multiply that by the height since the base is already length X width thats all you need to do, and you get 1562.4!
