Answer:
38.5 is your answer of this questions
<span>6x6 - 4x3 - 2x2 + 3x + 1</span>
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>
Answer:
x =10
y = 10 sqrt(3)/ 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 5 sqrt(3) / x
x sin 60 = 5 sqrt(3)
x = 5 sqrt(3)/sin 60
x = 5 sqrt(3) / sqrt(3)/2
x = 5*2
x =10
tan theta = opp /adj
tan 60 = x/y
ytan 60 = 10
y = x/ tan 60
y = 10/ sqrt(3)
y = 10/ sqrt(3) * sqrt(3)/ sqrt(3)
y = 10 sqrt(3)/ 3