Using the sine rule:
40/sin(90) = 28/sin(x)
These are two fractions that are equal so we can cross multiply to get:
40 x sin(x) = 28 x sin(90)
Rearranging:
sin(x) = (28 x sin(90))/40
Take inverse sine to find x (the angle)
x = sin^-1(28 x sin(90))/40)
X = 44.4° to 1dp
Lmk if anything’s unclear.
45/51 is 15/17 simplified.
First you divide 45 and 51 by 3 because 3 is the greates common factor. 45 divided by 3 is 15 and 51 divided by 3 is 17 so simplified it is 15/17.
HOPE I HELPED IF SO PLZ MARK BRANLIEST.THANKS.
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Answer:
v^21 v^3 is the answer by Alena
Step-by-step explanation:
Answer: 6%
Step-by-step explanation:
2/50 walk, that's the same as 4/100 or 4%
1/50 bike, that's the same as 2/100 or 2%
4/100 + 2/100 = 6/100 or 6%
