Answer:
7745.2
Step-by-step explanation:
you need to multiply 67 by 578 which is 38726. then you divide it by 5. In short, you can just use calculator or you can use scratch paper.\
Answer:
8
Step-by-step explanation:
The cross-section of a cube, if the slice is made parallel to one of the faces, would be a square congruent to the face of the cube.
Given expression in exponential form : 
.
We need to convert it into radical form.
<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>
We can apply following rule:
![(a)^{\frac{m}{n}}= \sqrt[n]{x^m}](https://tex.z-dn.net/?f=%28a%29%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%20%5Csqrt%5Bn%5D%7Bx%5Em%7D)
.
Therefore,
![a^{\frac{4}{9} }= \sqrt[9]{a^4}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B4%7D%7B9%7D%20%7D%3D%20%5Csqrt%5B9%5D%7Ba%5E4%7D)
.
Therefore, correct option is : D. ninth root of a to the fourth power.
Answer:
18
Step-by-step explanation:
Remark
This is one of those questions that can throw you. The problem is that do you include the original rectangle or not. The way it is written it sounds like you shouldn't
However if you don't the question gives you 2 complex answers. (answers with the sqrt( - 1) in them.
Solution
Let the width = x
Let the length = x + 5
Area of the rectangle: L * w = x * (x + 5)
Area of the smaller squares (there are 2)
Area = 2*s^2
x = s
Area = 2 * x^2
Area of the larger squares = 2 * (x+5)^2
Total Area
x*(x + 5) + 2x^2 + 2(x + 5)^2 = 120 Expand
x^2 + 5x + 2x^2 + 2(x^2 + 10x + 25) = 120 Remove the brackets
x^2 + 5x + 2x^2 + 2x^2 + 20x + 50 = 120 collect the like terms on the left
5x^2 + 25x + 50 = 120 Subtract 120 from both sides.
5x^2 + 25x - 70 = 0 Divide through by 5
x^2 + 5x - 14 = 0 Factor
(x + 7)(x - 2) = 0 x + 7 has no meaning
x - 2 = 0
x = 2
Perimeter
P = 2*w + 2*L
w = 2
L = 2 + 5
L = 7
P = 2*2 + 2 * 7
P = 4 + 14
P = 18
