Since the measure of angle
is 
The measure of its reference angle = 
=
Now we have to compute the value of 


The value of (
) lies in the fourth quadrant. In fourth quadrant, the value of tan is always negative.
So, 

= -1.
Here, we have to find the number of guests who can attend their weeding without exceeding the set budget of $10,000
Since the catering fee of $150 is waived, we do not consider this figure in our analysis
There is a constant which is the venue costs of $2,000 and a variable cost of $80 per guest for the reception.
Let us assume "X" guests arrive for the reception, so we can form the equation as shown below:
80X + 2,000 = 10,000 (Since the total budget for the wedding is $10,000)
80X = 8000
8X = 800
X =100
Therefore, Selena and Ronald can invite 100 guests for the wedding without going over their budget
Answer:
25%
Step-by-step explanation:
As the given situation the parameters are below:-
Cost of each box = 3 pounds
Amount of cereal in each box = 160 g
now,
160 g of cereal = 100%
and
25% of 1 box of cereal = 25% of 160 g which is

As per the question, it is mention that Jane need her idea to give the equal value of amount as Tim's idea, provided
160 g of cereal costs 3 pounds
and
1 g of cereal will cost
= 
40 g of cereal will cost 
So, the percentage of
the pound is of 3 pounds is 3 ÷ 4 ÷ 3 × 100
= 25%
Therefore as the situation, Jane need to decline the amount by 25% for the same amount as Tim's idea.
If the answer you were looking for was long and had a E in it, it would be 2.79552e10