The interior angles of a triangle add up to 180 degrees
a = 1st angle, b = 2nd angle, c = 3rd angle
c = 6a
b = a + 60
a + b + c = 180
a + (a + 60) + (6a) = 180
8a + 60 = 180
8a = 180 - 60
8a = 120
a = 120/8
a = 15 <=== here is one angle
b = a + 60
b = 15 + 60
b = 75 <=== and another one
c = 6a
c = 6(15)
c = 90 <=== and the last angle
We know that
area of the circle=pi*r²
if 360° (full circle) has an area of-------------> pi*r²
110°------------------------------> 40 units²
pi*r²=40*360/110--------> pi*r²=130.91------> r²=130.91/pi-----> r²=41.69
r=6.46 units
the answer is
the radius is 6.46 units
Answer:
18.4 feet
Step-by-step explanation:
-use the formula C^2 = A^2 + B^2 for a right triangle, which is made by the ladder and the wall.
-let the ladder be C, the wall be a, the base to the bottom be b.
-substitude into the equation, which will leave us with:
C^2 = 17^2 + 7^2
C^2 = 289 + 49
C^2 = 338
C = square root of 338, which is 18.4 feet!
The kite is approximately 78.80 feet off of the ground.
Explanation: If we assume that the string his held taut without any swag, we can use a right triangle to solve for the height of the kite. sin
θ
=
o
p
p
h
y
p
sin
52
o
=
h
100
f
t
100
sin
52
o
=
h
100
(
0.7880
)
=
h
78.80
f
t
=
h
One box is 24lb another box is 8 because i half of 32 is 16 and 1/2 of 166 is 8 so 16 + 8 = 24 leaving another 8 behind
