Complementary angles total 90°.
∠A + ∠B = 90°
∠A + 60° = 90° . . . . substitute the given information
∠A = 30° . . . . . . . . . subtract 60° from both sides of the equation
The angle that is complementary to ∠B measures 30°.
The length of arc is 69.1 feet
<em><u>Solution:</u></em>
<em><u>The length of arc when angle given in degrees is given as:</u></em>
Where,
r is the radius
is the central angle in degrees
From given,
<em><u>Substituting the values we get,</u></em>
Thus the length of arc is 69.1 feet
Let K and T be the speeds of Kirk and Thor respectively.
Note the standard definition that d=vt, distance equals velocity times time.
t=d/v
For Kirk, t=525/(T+5)
For Thor, t=490/T
Since we are told that they have traveled the same amount of time we can say t=t which leaves us:
525/(T+5)=490/T multiply both sides by T
525T/(T+5)=490 multiply both sides by T+5
525T=490T+2450 subtract 490T from both sides
35T=2450 divide both sides by 35
T=70
So Thor's average speed is 70kph, since K=T+5
K=75kph
So Kirk's average speed is 75kph
Step-by-step explanation:
the area of a full circle (360°) is
pi×r²
r = 15 ft in our case
the area of a segment of a circle is the corresponding fraction of the whole circle area.
the angle of the shaded area is
360 - 332 = 28°
therefore, the area of the shaded area is
pi×15²×28/360 = pi×225×28/360 = pi×225×7/90 =
= pi×5×7/2 = 54.97787144... ft²
≈ 54.98 ft²
the area of the "ice rink" is the sum of a rectangle and a circle (which is split into 2 halves that are attached to both sides of the rectangle).
the radius of the circle is 7/2 = 3.5 meters.
the length of the rectangle in the middle is
18 - 2×3.5 = 18 - 7 = 11 meters.
so, the area of the rectangle is 11×7 = 77 m²
the area of the circle is
pi×r² = pi×3.5² = pi×12.25 = 38.48451001... m²
that means the total area is
77 + 38.48451001... = 115.48451... m² ≈ 115.48 m²
You would first find 14%of 456 and then the answer you get take it away from 456 and that would be your answer
Answer- 392.16