Answer:
6 square root of 2
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin 45 = 6/x
Multiply by x
x sin 45 = 6
Divide by sin 45
x sin 45/ sin 45 = 6 / sin 45
x = 6/ sin 45
x = 6/ (1/sqrt(2))
x = 6 sqrt(2)
Let us solve for the total area. In this problem, we solve area 1 (the rectangle in the middle) and the area 2 ( the two half circle on the sides).
Solve for area 1:
Area rec = L * W = 5units * 4 units = 20 squared units
Solve for area 2:
Area cir = pi *r² = 3.14 * (2 units)² = 12.56 squared units
Total area = 20 + 12.56 = 32.56 foot²
Total cost = 32.56 foot² * ($23/foot²) = $ 748.88
Total cost is $748.88.
Answer:
r = 13, 3
Step-by-step explanation:
| r - 8| = 5
All solutions for r by breaking the absolute value into the positive and negative components
r = 13, 3
Answer:
Step-by-step explanation:
a|c means that c=a*k k is some positive integer. We know that b|c so b| ak and (a,b)=1, so it must be b|k, i.e k=b*r, r is some positive integer number. Now we have that c=abr, so ab| c.
B) if x and x’ are both solution then we have that
mi | x-x’ for every i.
By a) we have that m1m2...mk| x-x’, so x and x’ are equal by mod od m1m2...mk.
