Answer:
Step-by-step explanation:
You have the following information given in the problem:
- The number of soccer fans that are going to a soccer game is 27.
- A ticket to the game costs $18 per person.
- The cost of the lunch for all 27 fans is $172.
- represents the total cost of attending the game for all 27 fans.
Therefore, keeping the above on mind you can write the following expression that closely estimates the total cost of attending the game for all 27 fans:
Answer:
49
Step-by-step explanation:
Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.
Hence,
and
Express q:
Solve this equation. Cross multiply:
Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:
was, before it was rationalized,
Therefore,
The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1