Answer:
Seth saved $90.
Step-by-step explanation:
1.Find out how much would be spent without buying the movie pass.
Multiply the amount of money that one would spend for each movie, by the number of movies one saw.
8 * 30 = 240
2.Find out the amount that was actually spent
Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.
(4 * 30) + 30
= 120 + 30
= 150
3. Find the difference between the two values.
Subtract the amount that one was supposed to spend by the amount one did spend.
240 - 150
= 90
Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
Answer/Step-by-step explanation:
✔️Find AC using Pythagorean Theorem:
AC² = 25.2² - 11.3²
AC² = 507.35
AC = √507.35
AC = 22.5 (nearest tenth)
✔️Find m<A using trigonometric ratio:
Reference angle = A
Opp = 11.3
Hyp = 25.2
Sin(A) = opp/hyp
Sin(A) = 11.3/25.2
A = sin^{-1}(11.3/25.2)
A = 26.6° (nearest tenth)
✔️Find m<B using trigonometric ratio:
Reference angle = B
Adj = 11.3
Hyp = 25.2
Cos(A) = adj/hyp
Cos(A) = 11.3/25.2
A = cos^{-1}(11.3/25.2)
A = 63.4° (nearest tenth)
