Answer:
10
β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10β on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10β.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10β cos(β)
But since cos(β) is already present, we can see that the answer is 10β
Answer:
15 + 2.05 x = 2.35 x
Step-by-step explanation:
Let x be the number of gallons you would have to buy for the two places to be the same.
At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.
We can write an expression: 15 + 2.05 x
At the gas station, they charge $2.35 per gallon with no other fees.
We can also write an expression: 2.35 x
For the prices to be the same, we have 15 + 2.05 x = 2.35 x
If we were to solve, then we have:
(2.35 - 2.05) x = 15
x = 15 / 0.3 = 50 gallons
Angles 1 and 4 are alternate angles and thus have the same measurement. You will set their equations equal to each other and solve for the variable.
6n + 1 = 4n + 19
Subtract 1 and 4n from both sides to get variables on one side and constants on the other.
6n - 4n = 19 - 1
Combine like terms and solve for n.
2n = 18
n = 18 / 2
n = 9
Angles 1 and 2 are congruent as labeled in the graph.
So angle 2 is also 6n + 1
Plug in for 9 for n
6(9) + 1
54 + 1
55
Option C is your answer.
