( 6 + x)(9 + x) =88
54 + 15x + x^2 = 88
x^2 + 15x - 34 = 0
(x + 17)(x - 2) = 0
using zero product property:-
x + 17 = 0 or x - 2 = 0 giving:-
x = -17 , x = 2
x is the amount that the length and width are increased by.
x = -17 is negative and doesn't make sense in this context and can be ignored; so the amount of increase is 2 feet.
The dirty little secret about trig is students mostly just need to understand the 45/45/90 right isosceles triangle and the 30/60/90 triangle, which is half an isosceles triangle.
I'm sure you have seen it many times already, so I'll remind you in the 30/60/90 right triangle the sides opposite those angles are respectively in the ratio
. Remember the smallest side is always opposite the smallest angle, etc. These make a right triangle because
So in this hypotenuse 2 triangle, the length 1 side is opposite the 30 degree angle and the
side is adjacent to it.
We could jump right to the answer but let's enumerate all the trig functions. Really you should memorize the sine and cosine so you can get these quickly.
We want the cotangent, another way to get it is
Answer:
6 hours
Step-by-step explanation:
To start this, you must use an equation that models the amount that Mathew and Melanie made based on time. The total amount of money earned by the two of them is 120, and they both work for 8 dollars and hour, and Mathew worked 3 more hours, our equation is 120 = 8x +8(x+3)
We must first solve for x
120 = 8x + 8x +24
-24 -24
96 = 16x
x = 6
x is the amount of hours Melane worked.
This is geometric with a common ratio of 3 (3/1 = 3 and 9/3 = 3 etc)
the formula for the nth term is
an = 3^(n-1)
