So, we need to figure out how much times the body size of the flea it can jump. First, we need to figure out the size of the flea: <em>2^-4=0.0625</em>
Now that we have the size of the flea, we need to figure out how high it can jump: <em>2^3=8</em>
After we figure out the size of the flea, we need to divide 8 by .0625 because it is inverse operations to multiplication: <em>8/.0625=128</em>
Answer: The flea can jump 128 times higher than it's body size.
Answer:
8xº = 90º
6xº = 67.5º
2xº = 22.5º
x = 11.25°
Step-by-step explanation:
The sum of angles in a triangle is 180°
8xº + 6xº + 2xº = 180º
16xº = 180º
x = 11.25º
8xº = 11.25(8) = 90º
6xº = 67.5º
2xº = 22.5º
Hope this helps :)
Answer:
Angle 1 = 75°
Angle 2 = 55°
Angle 3 = 55°
Angle 4 = 40°
Angle 5 = 140°
Angle 6 = 40°
Angle 7 = 75°
Angle 8 = 65°
Angle 9 = 115°
Step-by-step explanation:
1) We start with angle 2
Angle 2
Angles on a straight line = 180°
Hence,
b + 125° = 180°
b = 180° - 125°
b = 55°
Angle 2 = 55°
2)Angle 1
The sum of angles in a triangle = 180°
Hence
Let Angle 1 = a
50° + 55° + a = 180°
a = 180° - (50° + 55°)
a = 180° - 105°
a = 75°
3)Angle 3
Angle 2 and Angle 3 are vertical angles
So we use the Vertical angle theorem
This means
Angle 2 = Angle 3
Angle 2 = 55°
Hence, Angle 3 = 55°
4) Angle 4
Sum of Angles in a triangle = 180°
Let Angle 4 = d
Hence:
85° + Angle 3 + d = 180°
85° + 55° + d = 180°
d= 180° - (85° + 55°)
d = 180°- 140°
d = 40°
5)Angle 5
Angle 4 and Angle 5 are angles on a straight line
Sum of angles on a straight line = 180°
Angle 4 = 40°
Let Angle 5 = e
Hence:
40° + e = 180°
Collect like terms
e = 180° - 40°
e = 140°
6) Angle 6
Angle 4 and Angle 6 are vertical angles
Using Vertical angle theorem,
Angle 4 = Angle 6
Angle 4 = 40°
Hence, Angle 6 = 40°
7)Angle 9
Solving for Angle 9,
Sum of angles on a straight line = 180°
Angle 9 = i
i + 65° = 180°
i = 180° - 65°
i = 115°
8) Angle 8
= Angle 9 and Angle 8 are angles in a straight line
= Angle 8 = h
h + 115° = 180°
h = 180° - 115°
h = 65°
9)Angle 7
Sum of angles in a triangle = 180°
Angle 7 = g
g = 180° - (65° + Angle 6)
= 180° - (65 + 40
= 180° - 105°
= 75°
Example:
This suggests two solutions,
and
.
However, upon plugging these solutions back into the equation, you get
which checks out, but
does not because
is defined only for
(assuming you're looking for real solutions only). So, we call
an extraneous solution, and the complete solution set (over the real numbers) is
.
Answer:
41.23
Step-by-step explanation:
Mean = (23 + 50 + 49 + 48 + 49 + 32 + 37 + 40 + 41 + 42 + 41 + 41 + 43) ÷ 13
Mean = 536 ÷ 13 = 41.23 (rounded up to two decimal places)
