The crucial part of the wording of the problem tells us that the two integers are consecutive. So, let's call the first term x. Then the other term must be x + 1 since it comes right after it and is an integer. Now we can solve:
x(x + 1) = x + (x + 1) + 19
x^2 + x = 2x + 20
x^2 - x - 20 = 0
Now we factor:
(x - 5)(x + 4) = 0
This means x either equals 5 or x = -4 to satisfy the above equation. We know that x is positive from the question itself, so x must be 5. The number consecutively after it then must be 6.
Supplementary means 180
180-32=148 hope this helps
Half life means only half of matter is left, which means half is decayed/radiated.
Formula for half life is
t/2 = [(elapsed time)*(log2)]/[log(beginning amount/ending amount)]
1. t/2 = [(10)*(log2)]/[log(100/76.1)] = 25.378 minutes.
t/2 = [10 * 0.301]/[log 1.314] = [3.01]/[0.1186] = 25.378
2. 53.12 = [(T)*(log2)]/[log(15/4)], on solving we get, T = 101.29 days
53.12 = [T * 0.301]/[log 3.75] = [0.301 * T]/[0.574],
T = [53.12 * 0.574]/[0.301] = [30.49]/[0.301] = 101.29<span />
Answer:
slope of n =⅔
Step-by-step explanation:
The product of the slope of two perpendicular lines(m1•m2) must equal -1.
This means that if you have the slope of one line,find it's negative reciprocal to obtain the slope of the other.
Thus,-1/(-3/2)=⅔
Answer:
it equals 39 yd²
Step-by-step
Area= 1/2 base= 18 height= 4 1/3
multiply 1/2 x 18 = 9
9 x 4 1/3= 39
the answer is 39 yd²