43 is between the 40 and 45
Given:
Polynomial is
.
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)

On combining like terms, we get


Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is
.
147/3=49bags
216/3=72bottles
49*5=245bags
72*5=360bottlesso he can sell 245 bags of popcorn and 360 bottles of water
Answer:

Step-by-step explanation:
we would like to integrate the following Integral:

well, to get the constant we can consider the following Integration rule:

therefore,

recall exponent integration rule:

so let,
Thus integrate:

simplify addition:

reduce fraction:

finally we of course have to add the constant of integration:

hence,
our answer is D)
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:








m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:


Cross multiply


(approximated)