Answer:
A is the answer Have a great day
Step-by-step explanation:
(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
Represent the number of days by x. With this representation, the variable cost of the rental is 31.67x. The total cost is the sum of the fixed and variable costs. This value should not be more than $500. The equation below shows the relationship.
130 + 31.67x ≤ 500
Solving for x gives x ≤ 11.68
Thus, the maximum number of days to rent the car is only 11 days.
Answer:
Amid record unemployment claims and the disruption of commercial activity caused by the novel coronavirus outbreak, the public’s assessments of the U.S. economy have deteriorated with extraordinary speed and severity. Just 23% of Americans now rate economic conditions in the country as excellent or good, down sharply from 57% at the start of the year.Step-by-step explanation:
Answer:
b- 13 weeks
Step-by-step explanation:
She makes $550 a week but spends $200 on merchandise so her total weekly is technically $350 in order to earn profit she has to get more than $4500
divide $4500 by $350 which you will get 12.6 but you round it to 13 meaning it would take her a maximum of 13 weeks to receive profit
