Answer:
The boy will have 2 tickets left.
Step-by-step explanation:
First you have to figure out how many times 7 goes into 65. As 65 is not a multiple of 7, you have to look for the closest number. In this case, 7*9=63. That is the closest number to 65 that is also a multiple of 7, so the boy can ride the roller coaster 9 times. Since the question is asking how many tickets the boy will have left, you simply subtract 65-63=2. So, the boy will have 2 tickets left.
Hope this helped :)
Answer:
2+7895 hfcygshcrnagdjdhxr
Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) = 
[Since, sin(a) = 
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) = 
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
=
Therefore, cos(a + b) =
A) x^2 + y^2 = 80
B) x * y = 12
What is x^2 -y^2?
B) x * y = 12
So y = 12 / x
A) x^2 + (12/x)^2 = 80
x^2 + (12/x)^2 = 80
x^2 + (144/x^2) = 80
Multiplying each side by x^2
x^4 + 144 = 80x^2
x^4 -80x^2 + 144 = 0
X = 1.355 (found by trial and error)
Y =
<span>
<span>
<span>
8.85608</span></span></span> (found by trial and error)
