Answer:
$74,550
Step-by-step explanation:
Given:
Seven equal-sized square photos arranged in a row to form a rectangle.
Total area of the collage is 567 square inches.
To find:
The length of the collage.
Solution:
Let the side of each square be x inches.
Seven equal-sized square photos arranged in a row to form a rectangle.
So, length of rectangle is 7x and width is x.
Area of rectangle is
![Area=Length\times width](https://tex.z-dn.net/?f=Area%3DLength%5Ctimes%20width)
![567=7x\times x](https://tex.z-dn.net/?f=567%3D7x%5Ctimes%20x)
![567=7x^2](https://tex.z-dn.net/?f=567%3D7x%5E2)
![\dfrac{567}{7}=x^2](https://tex.z-dn.net/?f=%5Cdfrac%7B567%7D%7B7%7D%3Dx%5E2)
![81=x^2](https://tex.z-dn.net/?f=81%3Dx%5E2)
Taking square root on both sides, we get
![x=\pm \sqrt{81}](https://tex.z-dn.net/?f=x%3D%5Cpm%20%5Csqrt%7B81%7D)
![x=\pm 9](https://tex.z-dn.net/?f=x%3D%5Cpm%209)
Side cannot be negative. So, x=9 inches.
Now,
Width = 9 inches
Length = 7(9) = 63 inches
Therefore, the length of the rectangle is 63 inches.
I believe that expression D is the one that is best
A kilogram is worth 1000 g.
5kg = 5000 grams.
So 5212 grams is bigger.
Answer:
30 and 17
Step-by-step explanation:
Using Pythagoras' theorem, that is
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, thus
(1)
c² = 18² + 24² = 324 + 576 = 900
Take the square root of both sides
c =
= 30
(2)
c² = 8² + 15² = 64 + 225 = 289
Take the square root of both sides
c =
= 17