1. Correct answer is a (since when you are not given the n values, it is implied that the first value is 1).
3. Correct answer is a (a(n)=-3+4(1-1)=-3).
7. The pattern is to reduce the previous value by 4, thus the 12th term of the sequence is -24 (a(n)=20 - 4(n-1)=20 - 4(12-1)=-24).
8. Missing term is 26 (32+20=52; 52/2=26).
10. Pattern is 625/1=625; 625/5=125; 125/5=25; 25/5=5, thus. the 10th term is 1/3125 (answer a).
1. You have the following information:
Sinx=5/13
Cosx=12/13
2. By definiton, you have:
Tanx=(Senx)/(Cosx)
3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:
Tanx=(Senx)/(Cosx)
Tanx=(5/13)/(12/13)
Tanx=(5)(13)/(13)(12)
Tanx=65/156
4. Therefore, the answer is;
Tanx=65/156
Answer:
feet tall
Step-by-step explanation:
Ajax is "5 and 1 fourth feet tall", which can be written as the mixed number 
.
His sister is "3 eighths foot shorter", so she's 3/8 feet shorter than 5 1/4.
So, this is just a subtraction problem:
To solve this, we want to convert 5 1/4 into an improper fraction, which is: 
. Now, we want to find a common denominator. In this case, that common denominator is 8, so 
.
Finally, we subtract 3/8 from 42/8: 
. So, Ajax's sister is 39/8 feet. Converting this into a mixed number, we have: 39/8 = 4
.
Therefore, Ajax's sister is feet tall.
Hope this helps!
If ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)}, then the range of ƒ is {(1, 5),(2, 6),(3, 7),(1, 8),(7, 9)} {1, 2, 3, 7} {5, 6, 7, 8,
navik [9.2K]
Answer:
{1,2,3,7}
Step-by-step explanation:
The range of a relation is the set of y-values of the ordered pairs.
The given relation is:
ƒ={(5, 1),(6, 2),(7, 3),(8, 1),(9, 7)},
The set of y-values of the given ordered pairs are;
{1,2,3,7}
Therefore the range of y is {1,2,3,7}
X, y - the numbers
The product is 18.
The quotient is 2.
Substitute 2y for x in the 1st equation:
The numbers are
6 and 3 or
-6 and -3.
