Answer:
Dilation
Step-by-step explanation:
A dilation changes the size of a figure by enlarging the figure of making the figure smaller. The sides will be proportional and the angles will be congruent making the figures similar.
3.45(4) = 13.8
8.18(1) = 8.18
13.8 - 8.18 = 5.62
Answer:
23
Step-by-step explanation:
sin theta = opp /hyp
sin H = 5/13
Take the inverse sin of each side
sin ^-1 (sin H) = sin ^-1 (5/13)
H =22.62 degrees
To the nearest degree
H = 23 degrees
Answer:
perimeter of the fountain = 15π ft. or 47.1 ft. to the nearest 10th
Step-by-step explanation:
The semicircles have a circumference of 1/2πd = 1/2π(10) = 5π
Both semicircles together have a length of 5π + 5π = 10π
The radius of the 1/4 circle is 10, so the diameter is 20
The length of the 1/4 circle's arc is 1/4 times the circumference of its circle
So, the length of that arc is 1/4π(20) = 5π
Now the perimeter of the fountain is 10π + 5π = 15π
