Answer:
116
Step-by-step explanation:
2+2+5+3+6+4+6+2+5+78+2+1
4+5+3+6+4+6+2+5+78+2+1
9+3+6+4+6+2+5+78+2+1
12+6+4+6+2+5+78+2+1
18+4+6+2+5+78+2+1
22+6+2+5+78+2+1
28+2+5+78+2+1
35+78+2+1
113+2+1
116
For the given triangle, the cosine of angle A equals 
.
Step-by-step explanation:
Step 1; In the given triangle, the opposite side has a length of 9 units, the adjacent side has a length of 3√3 units while the hypotenuse of the triangle measures 6√3 units. To calculate the cosine of angle A we divide the adjacent side by the hypotenuse side.
cos A = 
.
Step 2; Length of the adjacent side = 3√3 units.
Length of the hypotenuse side = 6√3 units.
cos A = 3√3 / 6√3
cos A = .
To check we also have A = 60° and cos 60° = .
Answer:
100 texts
Step-by-step explanation:
Let the amount of text messages be x. Since we are looking at making both plans equal, we add the fixed monthly charges to the number of messages multiplied by the cost.
The total amount charged by Totally will be 30 + 0.2x
The total amount charged by Gnarly will be
40 + 0.1x
Now since we are trying to get the number of text messages that make both charges equal, we equate the two charges and that is:
30 + 0.2x = 40 + 0.1x
40 - 30 = 0.2x - 0.1x
0.1x = 10
x = 10/0.1 = 100 texts
Answer:
2, 12, 36, 80
Step-by-step explanation:
Substitute n = 1, 2, 3, 4 into the n th term formula, that is
a₁ = 1³ + 1² = 1 + 1 = 2
a₂ = 2³ + 2² = 8 + 4 = 12
a₃ = 3³ + 3² = 27 + 9 = 36
a₄ = 4³ + 4² = 64 + 16 = 80
The equation r = u/st is equivalent to u = rst .
True
