Answer:
3 yards
Step-by-step explanation:
The area of a square is its length × width, where the length and width are the same:
length × width = 9
Since, the length and width are the same lets call them x
x × x = 9 → x² = 9
To find x, find the square root of 9:
x² = 9 → x = √9 → The square root of 9 is 3
Each side has a length of 3 yards
We are given the expression:
(17.6^-1)^8 = 17.6 ^ -8
This means that the two terms on each side are equal. We are asked to show how this is possible.
First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm.
We can apply this rule here:
17.6^-1 ^ 8
-1 * 8 = -8
then, retain the base and replace the exponent with the product nm:
17.6 ^-8. This proves that the left term is equal to the right term. <span />
8.84/0.68=13 8.84 divided by 0.68 is 13!!!
I hoped I helped(:
Step-by-step explanation:
Let
= mass of the painter
= mass of the scaffold
= mass of the equipment
= tension in the cables
In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as
Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of . The net torque on the scaffold is then
Solving for T,
or
![T = \frac{1}{9}[m_sg(1.9\:\text{m}) + m_pg(4.2\:\text{m})]](https://tex.z-dn.net/?f=T%20%3D%20%5Cfrac%7B1%7D%7B9%7D%5Bm_sg%281.9%5C%3A%5Ctext%7Bm%7D%29%20%2B%20m_pg%284.2%5C%3A%5Ctext%7Bm%7D%29%5D)
To solve for the the mass of the equipment , use the value for T into Eqn(1):
