Answer:
The length of arc PQ is 8.1 inches.
Step-by-step explanation:
First, you have to find the angle of POQ. Given that total angles in a circle is 360°, so you have to subtract to get ∠POQ :



Next, you have to apply length of arc formula, Arc = θ/360×2×π×r where θ represents the angle of arc and r is the radius of circle :




Answer:
41 and 77
Step-by-step explanation:
x: his age the first time he went to space
y: his age the second time he went to space
the second time he went to space he was 5 years younger than twice the age when he went his first time, then:
y = 2x - 5
the sum of both ages is 118, then:
x + y = 118
If you replace y = 2x - 5 in x + y =118:
x + 2x - 5 = 118
3x = 123
x = 41
replacing x:
41 + y = 118
y = 118 - 41
y = 77
so when he was 77, he was 5 years younger than twice 41 ( 41*2 = 82 => 82 - 5 =77)
Answer:
B
Step-by-step explanation:
1 yard is 3 feet.
The other ones give you 5 or more feet.
Answer:
B. 
Step-by-step explanation:
The given trigonometric function is
.
The amplitude of this function is
, so under normal circumstances the range is supposed to be

But the
is a downward vertical shift.
Therefore the normal boundaries of the range will shift down one unit to give the range of the transformed function.
We subtract 1 from the lower boundary to get 
We also subtract 1 from the upper boundary to get 
Hence the range is

Also see graph
D) 3x + 30 = 150, hope this helps!