11.275 is the sale price of the hat
<u>Step-by-step explanation:</u>
Brainly the owner of a hat store buys a hat for 5.50 and he uses a mark-up rate is 105%. Need to find out what is the sale price of the hat.
Here, given data, cost price of hat = 5.5. Let the selling price of hat be x and find the data as asked in question,




5.775 + 5.5 = x
Where,
S.P - sale price
C.P - cost price
Therefore, x = 11.275 is the sale price of the hat.
The completed factor is (7x+2) (x+5)
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,



AC = 
AC = 3.17 miles

AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.