we know that

we have

substitute the value of
in the expression above

therefore
<u>the answer is</u>

Answer:
25 in.
Step-by-step explanation:
DEC is a right triangle. <DEC is a right angle.
(DE)² + (EC)² = (DC)²
DE = ½DB = ½(48 in.) = 24 in.
(24 in.)² + (7 in.)² = (DC)²
576 in.² + 49 in.² = (DC)²
(DC)² = 625 in.²
DC = 25 in.
Answer:
3.04m
Step-by-step explanation:
Time taken to swing the rope = 3.5s
Length of the rope = L
T = 2π√(L / 9.8)
3.5 = 2π√(L / 9.8)
take the square of both sides
(3.5)² =[2π√(L/9.8)]²
12.25 = 39.48 × (L / 9.8)
12.25 = 39.48L / 9.8
39.48L = 12.25 × 9.8
39.48L = 120.05
L = 120.05 / 39.48
L = 3.04m
The length of the rope is 3.04m
If the scale factor is greater than one the triangle will be enlarged. If the scale factor is between o and 1 the triangle will be smaller.