If sinα=cosß it means that ß=90-α. This also means that α+ß=90 so we can say:
4k-22+6k-13=90
10k-35=90
10k=125
k=12.5°
...
The above identity comes up a lot, and is one worth committing to memory for sure.
sinα=cos(90-α) or vice versa cosα=sin(90-α)
It is 18because you have to count the blocks
Answer:
volume=12m
Step-by-step explanation:
width*length*height=volume
4m=width
3m=height
4m*3m=12m
12m=volume
Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - 
= 
product of roots = 
= - 3, then
sum of new roots = 
+ 
= 
= 
= - 
product of new roots = ×
= 
= - 
Hence the required equation is
x² + x - = 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Let width = w then we have the equation:-
w(w + 12) = 448
w^2 + 12w - 448 = 0
(w - 16)(w + 28) = 0
w = 16
Answer: the dimensions of the window are width 16 by height 28 inches
