Answer:
33.3
Step-by-step explanation:
tan A = opp/adj
tan 39° = 27/x
x tan 39° = 27
x = 27/(tan 39°)
x = 33.3
Answer:
1. B
2. B and C
3.C
4.B the answer is 238 but i guess the rounded
Step-by-step explanation:
Answer:
The first five terms are;
-3,-7,11,-29,69
Step-by-step explanation:
The recursive definition of the sequence is
,
and
.
When n=3, we obtain;
.
.
.
.
When n=4
.
.
When n=5
.
.
Therefore the first five terms are;
-3,-7,11,-29,69
Answer: The cost of 16 pencils and 10 notebooks is $5.84.
Explanation: You can solve this using linear systems:
Let X be the cost per pencil, and let Y be the cost per notebook.
(1) 7x+8y=4.15
(2) 5x+3y=1.77
Choose a variable to eliminate. I’ll eliminate X first as an example. To eliminate a variable, you must have the same coefficient beside the variable for both equations.
Equation 1 now becomes:
(3) 35x+40y=20.75
Equation 2 now becomes:
(4) 35x+21y=12.39
Now that you have 35 as a coefficient for X in both equations, you can subtract the two equations to officially eliminate it!
(3)-(4)
19y=8.36
y=0.44
Now that you have the value of Y, substitute that value into either one of the equations to get X.
Substitute y=0.44 in (1)
7x+8(0.44)=4.15
7x+3.52=4.15
7x=0.63
x=0.09
Therefore, the cost per pencil is $0.09/pencil and the cost per notebook is $0.44/notebook.
Almost done lol...
To find the cost of 16 pencils, multiply 0.09*16. That gives you $1.44, which will be the cost of 16 pencils.
The cost of 10 notebooks is 0.44*10, which gives you $4.40. That’s the cost of 10 notebooks.
To find the total price, add these values together!
1.44+4.40=5.84
Therefore, the cost of 16 pencils and 10 notebooks is $5.84.
Hope that helps シ