Answer:
Step-by-step explanation:
![\text{Use}\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\(a\cdot b)^n=a^n\cdot b^n\\\\a^{-1}=\dfrac{1}{a}\\--------------------------\\\\\dfrac{5^{2n-1}-4(25^{n-1})}{(5^n\cdot2)^2+3(5^{2n-1})}=\dfrac{5^{2n}\cdot5^{-1}-4\left[(5^2)^n\cdot25^{-1}\right]}{(5^n)^2\cdot2^2+3\left[(5^2)^n\cdot5^{-1}\right]}](https://tex.z-dn.net/?f=%5Ctext%7BUse%7D%5C%5C%5C%5C%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5Ca%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%5C%5C%5C%28a%5Ccdot%20b%29%5En%3Da%5En%5Ccdot%20b%5En%5C%5C%5C%5Ca%5E%7B-1%7D%3D%5Cdfrac%7B1%7D%7Ba%7D%5C%5C--------------------------%5C%5C%5C%5C%5Cdfrac%7B5%5E%7B2n-1%7D-4%2825%5E%7Bn-1%7D%29%7D%7B%285%5En%5Ccdot2%29%5E2%2B3%285%5E%7B2n-1%7D%29%7D%3D%5Cdfrac%7B5%5E%7B2n%7D%5Ccdot5%5E%7B-1%7D-4%5Cleft%5B%285%5E2%29%5En%5Ccdot25%5E%7B-1%7D%5Cright%5D%7D%7B%285%5En%29%5E2%5Ccdot2%5E2%2B3%5Cleft%5B%285%5E2%29%5En%5Ccdot5%5E%7B-1%7D%5Cright%5D%7D)
A, b, c - the lengths of the sides of the triangle
and a ≤ b ≤ c
then:
a + b > c and if the triangle is an acute triangle then a² + b² > c².
Answer:
13.5 inches
Step-by-step explanation:
Perimeter of the paper square = 18inches
Perimeter of a square = 4s
4s = 18 inches
s = 18/4 = 4.5 inches
Therefore, each side of the square = 4.5 inches.
When the square is cut into 2 rectangles,
The perimeter of one of the rectangles is 10 inches.
Perimeter of the second rectangle = 2L + 2W
Let the length of the rectangle (L) = one side of the square = 4.5 inches
Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25
Perimeter of the second rectangle = 2(4.5) + 2(2.25)
= 9 + 4.5
= 13.5 inches
Answer:
I'll find X for you; the next step is by you.
Step-by-step explanation:
we have two similar pentagons
I will do it in 2 ways.
1.
=> 48/4x = (x+2)/x
=> 12/x = (x+2)/x
Because of pentagons so x > 0
=> 12 = x + 2 => x = 10
2.
k is unknown number
=> 4x = k.x and 48 = k.(x + 2) (x > 0)
=> k = 4 and 48 = 4.(x + 2)
=> 12 = x + 2 => x = 10
Ángel and Jayden we’re at track practice.
The track is 2/5 kilometers around.
* Ángel ran 1 lap in 2 minutes.
* Jayden ran 3 laps in 5 minutes.
How far does Jayden run in one minute?
4 1/6 km
