Volume of the box= <span>56 cubic inches
let x is the length, then
width =</span><span>2 inches shorter than its length = x - 2
</span>height = <span>3 inches taller than its length = x+3
Volume = length x width x height
56 = x x (x-2) x (x+3)
56 = (x</span>² -2x)(x+3)
56 = x³ +3x² -2x² - 6x
56 = x³ + x² -6x
x³+x²-6x-56 = 0
using the rational root theorem and factoring the polynomial;
(x-4)(x² +5x +14) = 0
from here;
x-4 = 0
x = 4
So, length = 4 inches
width = x - 2 = 4 -2 = 2 inches
length = x + 3 = 4 + 3 = 7 inches
volume = l x w x h = 4 x 2 x 7 = 56
We know, Volume of a Sphere = 4/3 πr³
V = 4/3 * π * (12.3)³
V = 4/3 * π * 1860.71
V = <span>2481.156π cm³
In short, Your Answer would be Option A
Hope this helps!</span>
Nina's rate is 12.7 mph and Sophia's rate is 10 mph. Therefore, Nina is faster.
Answer:
Option 1 looks most suitable
Step-by-step explanation:
Check image below:
Brainliest please
I hope this helps you
10^2=|aq|^2+5^2
100-25= |aq|^2
75= |aq|^2
aq= 5 square root of 3
this triangle 30-60-90
