Answer:
<em>Width = 6k²</em>
<em>Length = 5k+1</em>
Step-by-step explanation:
Given the area of a rectangle expressed as
A = 30k³ + 6k²
Get the greatest common factor
30k³ = (2 * 3 * k²) * k * 5
6k² = (2 * 3 * k²)
The common factor is the value in bracket i.e 2 * 3 * k² = 6k²
<em>Width of the rectangle = 6k²</em>
<em></em>
Get the length
A = LW
L = A/W
L = 30k³ + 6k²/6k²
L = 6k²(5k+1)/6k²
L = 5k + 1
<em>Hence the length L = 5k+1</em>
Answer:
Step-by-step explanation:
use SOH CAH TOA to remember how sin , cos and tan fit with a triangle
lets use SOH since we have the Hypotenuse and we want to find the Opposite side from the angle.. of 38° then
sin(38) = Opp/ 15
15 sin(38 ) = Opp ( the opposite side is the height of the pole )
4.4455m = Opp
so the flag pole is 4.45 meters tall or close to that
Angle 4 is 101°
Just find the last angle in the triangle and subtract that from 180.
The last angle in the triangle is going to be 180-52-49=79
Now subtract that from 180 since a straight line is 180°.
180-79=101
Also, your hint just says to add the two angles inside the triangle together. 52+49=101. So, there is two ways of doing it
I think it will be 7 out of 10 and 3 out of 10.
It's p = 6/(x+a).
Multiply both sides by p to get 6 = p(x+a), then divide both sides by (x+a) to get 6/(x+a) = p.