Using the law of cosines:
The grocery store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(100)
Distance = 13.16 miles
The movie store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(120)
Distance = 14.80 miles
The friend is further away.
Answer:
The venue has to host 47 events throughout the year
Step-by-step explanation:
Profit:
Profit is revenue subtracted by costs.
Per event:
$100,000 revenue
$50,000 costs
$100,000 - $50,000 = $50,000 profit.
If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?
1 event - $50,000 profit.
x events - $2,350,000 profit.



The venue has to host 47 events throughout the year
Step-by-step explanation:
Use Pythagorean theorem here. To find the height, find the difference of the 2 y's. To find the length, find the difference between the 2 x's.
Length = x2 - x1
Height = y2 - y1
√length^2 + height^2 = distance
√5^2 + 5^2 = √50 = 7.07
Solve for n by simplifying both sides of the equation, then isolating the variables.
n=54
Hope I helped
Answer:
∠A = 22°
Step-by-step explanation:
Given:

We take inverse of sine to find angle A.
So,
°
22.23° rounded to nearest whole degree is 22°.
∴
°.