Answer:
The distance between 
Step-by-step explanation:
The distance between the two points having given coordinates can be find by using the distance formula.
i.e Distance= 
For the given coordinates the distance between the two points is :
Distance = 
The area of sector is calculated by the product of area of the circle and the sector angle. It is expressed as follows:
Area = πr² (α/360)
Area = π(8)²(45/360)
Area = 8π in²
Hope this answers the question. Have a nice day. Feel free to ask more questions.
Given that in a trianlgle the sides AB, BC, CA are in the ratio 3:4:6.
Let AB = 3k, BC = 4k and CA = 6k.
Then perimeter =3k+4k+6k = 13k
M, N, K are mid points of the sides.
By mid point theorem MN = 3k/2, NK = 4k/2 and KM = 6k/2
Hence perimeter of MNK = 13k/2 =5.2 (given)
Solve for k
k=2(5.2)/13 = 0.8
Hence sides are
AB = 3k = 3(0.8) = 2.4 in
BC = 4k= 3.2 in
CA = 4.8 in
Answer:
43.92
Step-by-step explanation:
First you need the measure of angle C
180 - 90 - 37 = 53 degrees
Then use the Law of Sines with the pair you know:
sin 90 / 55 = sin 53 / x
Solve the equation
x * sin 90 / 55 = sin 53
x * sin 90 = 55 * sin 53
x = 55 * sin 53/sin 90
x = 43.92
Discount on shirt, 
.
So, Price payed for shirt is :
Discount on shorts, 
Discounted price :
Therefore, discounted price of shirt and shorts are $14.9625 and $25.165.
Hence, this is the required solution.
