Answer:
166
Step-by-step explanation:
SA = 2lw** + 2lh +2hw
** It's 2 x l x w, not 21 x w (it looks like a 1, I know smhh)
l = 4
w = 7
h = 5
2*4*7 + 2*4*5 + 2*5*7 = 56 + 40 + 70
56 + 40 + 70 = 56 + 110
56 + 110 = 166
Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.) ![\sqrt[3]{750}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B750%7D)
F.) ![\sqrt[3]{999}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B999%7D)
<h3>How the square root of a number is used to solve this question?</h3>
We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
More can be learned about the value of a expression at brainly.com/question/25537936
#SPJ1
Given:
The matrix is
.
To find:
The determinant of given matrix, i.e,
.
Solution:
If a matrix is A of order
, then the value of the determinant of that matrix is equal to the element of that matrix.
For example: Let A be the matrix of order
.
![A=[a]](https://tex.z-dn.net/?f=A%3D%5Ba%5D)
Then,

The given matrix is
. So, the determinant of given matrix, i.e,
, is

Therefore, the value of determinant of given matrix is -8.
If you're rounding to the nearest 100th the total would be 100. 422 would round to 300 and 284 would be rounded to 300 which equals 100.
Answer:
Option B is correct
It must be a positive number since it represents a number of hours.
Step-by-step explanation:
As per the statement:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
__________________________________________________________
Given the equation as:
Using distributive property,
Combine like terms;
Subtract 40 from both sides we have;
Divide both sides by -8 we have;
h = 14 hours
__________________________________________________________
Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.