Answer:
The length of the diagonal of the frame equal 17 inches
Step-by-step explanation:
The diagonal dividing the rectangle as made the rectangle 2 triangles
So according to Pythagoras Theorem,
Hypothenus² = opposite² + adjacent²
The diagonal lent is the Hypothenus.
so the two other sides are taking as opposite and adjacent respectively
so taking h as hypothenus,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17
Answer:
The factorization of 
is 
Step-by-step explanation:
This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form 
or 
. It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).
Let's solve the factorization of by using the <em>sum and difference of cubes </em>factorization.
1.) We calculate the cubic root of each term in the equation , and the exponent of the letter x is divided by 3.
![\sqrt[3]{729x^{15}} =9x^{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B729x%5E%7B15%7D%7D%20%3D9x%5E%7B5%7D)
then ![\sqrt[3]{10^{3}} =10](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B10%5E%7B3%7D%7D%20%3D10)
So, we got that
which has the form of which means is a <em>sum of cubes.</em>
<em>Sum of cubes</em>
with 
y 
2.) Solving the sum of cubes.
.
Answer:
The answer is that each book costs 26 dollars
Step-by-step explanation:
First we subtract 199 dollar from 7 =182
Then we divide 182 dollars to the seven book in order to find a unit =182/7=26
To prove this answer multiply 26 dollars than 7 books and see if the outcome is 182.Then subtract 199 from 182 and see if you got 17.
About less than 3 inches :)
