Answer:
Solution given:
sin y = -4/5
p/h=4/5
p=4
h=5
b=√{5²-4²)=3
cos y = b/h=-3/5
again
cos x=12/13
b/h=12/13
b=12
h=13
p=√(13²-12²)=5
sin x=p/h=5/13
now
sin[x-y]=sinxcosy-cosxsiny
=5/13×-3/5-(12/13×-4/5)=33/65 is your answer.
<u>Answer</u>
9+√14
<u>Explanation</u>
To Rationalize the denominator of 5-√7/9-√14.
To rationalize this we multiply both the denominator and denominator by the conjugate of the denominator.
The denominator is 9-√14 and its conjugate is (9+√14).
(5-√7)/(9-√14) = (5-√7)(9+√14)/(9-√14)(9+√14)
= (5-√7)(9+√14)/(9²-14)
= (45 + 5√14 - 9√7 - √98)/(81-14)
= (45 + 5√14 - 9√7 - √98)/67
= (45 + 5√14 - 9√7 - 7√2)67
This is the rationalized expression.
The denominator is (9-√14) and its conjugate is (9+√14).
Answer:
2x+20+3x+10 = 180 (int. angles, parallel)
5x+30 = 180
5x=150
x=30
Answer:
0 & 1.
Step-by-step explanation:
√2 = 1.41421356237
Answer:
x<=-1 or x>=3
Step-by-step explanation:
Hope this helps
