consecutive integers have a difference of 1 between them
let the brothers have ages n , n + 1 and n + 2 thus
n + n + 1 + n + 2 = 96
3n + 3 = 96
subtract 3 from both sides of the equation
3n = 96 - 3 = 93
divide both sides by 3
n =
= 31
The ages are 31 , 32 and 33
Answer: 1439
Step-by-step explanation:
Volume= Length* breadth* height
= 15*1312*112
= 1439
Laws of exponents:
(a^x)^y=a^(xy)
a^0=1 (a≠0)
Therefore
(7^13)^3.7^0
=(7^(13*3)). 1
=7^39
Use the law of cosines.
a2+b2−2abcosC=c2
Find the measure of angle C. It is the opposite side of c.
c2−a2−b2−2ab=cosC
cosC=13.62−22.52−182−2(22.5)(18)≈0.797
C=cos−10.797=0.649 rad=37.19∘
angle B:
a2+c2−2accosB=b2
cosB=b2−a2−c2−2ac
B=cos−1b2−a2−c2−2ac=cos−1182−22.52−13.62−2(22.5)(13.6)≈0.927 rad=53.13∘
angle A:
b2+c2−2bccosA=a2
A=89.68∘
1/3 is the rate of change. the rate of change is the slope of an equation