Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
Answer:
576
Step-by-step explanation:
30/ 100 x p = 240
p = 240 x 100/30 = 800
72/ 100 x p=
72/100 x 800 = 576
I hope im right!!
Answer:
Area of nail's head = 28.26 millimeter² (Approx.)
Step-by-step explanation:
Given:
Head of nail is circular
Diameter of nail's head = 6 millimeter
Find:
Area of nail's head
Computation:
Radius of nail's head = Diameter / 2
Radius of nail's head = 6 / 2
Radius of nail's head = 3 millimeter
Area of circle = πr²
Area of nail's head = πr²
Area of nail's head = (22/7)(3)²
Area of nail's head = (22/7)(9)
Area of nail's head = (3.14)(9)
Area of nail's head = 28.26 millimeter² (Approx.)
Step-by-step explanation:
a = original number of adult tickets
c = original number of child tickets
a/c = 2/5
a = 2c/5
(a+70)/(c+300) = 1/3
(2c/5 + 70)/(c + 300) = 1/3
2c/5 + 70 = (c + 300)/3
2c + 350 = 5(c + 300)/3
6c + 1050 = 5(c + 300) = 5c + 1500
c = 450
a = 2c/5 = 2×450/5 = 2×90 = 180
Joshua sold therefore in total
180 + 70 = 250 adult tickets.
and by the way
450 + 300 = 750 child tickets.
Step-by-step explanation:
multiple possibilities.
e.g.
we could use Pythagoras to get QR, and then use the law of sine to get angle P.
or we can use the law of sine to get angle R, and then use the rule that the sum of all angles in a triangle is always 180° to get angle P.
I propose the second option :
the law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
with a, b, c being the sides always opposite of their associated angles.
33.8/sin(R) = 57.6/sin(90) = 57.6
sin(R) = 33.8/57.6 = 0.586805555...
R = 35.93064691...°
180 = 90 + 35.93064691... + P
P = 54.06935309...°
