By giving just the radius and asking for the arc length of that circle your answer will be without math is 22
π
feet
But;
Let’s do same math!
Arc length = (()/360)⋅2⋅⋅
(
(
a
n
g
l
e
o
f
a
r
c
)
/
360
)
⋅
2
⋅
π
⋅
r
In this case angle of arc was not specified so: 360∘
∘
was used.
Arc length = ((360)/360)⋅2⋅⋅11
(
(
360
)
/
360
)
⋅
2
⋅
π
⋅
11
Arc length = 22
π
feet
Answer:
y = 20°
x = 35°
Explanation:
Equation's:
1) 2y + x + 105° = 180°
2) 3x + x + 2y = 180°
Make y subject in equation 2
3x + x + 2y = 180
4x + 2y = 180
2y = 180 - 4x
y = 90 - 2x
Insert this into equation 1
2(90 - 2x) + x + 105° = 180°
180 - 4x + x + 105 = 180
-3x = -105
x = 35°
Find value of y
y = 90 - 2x
y = 90 - 2(35)
y = 20°
Answer:
see explanation below
Step-by-step explanation:
You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown, blue, grey, white, sand, and black)
We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:
3 * 6 = 18
then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:
prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =
= 1/18 + 1/18 = 2/18 = 1/9
Add every side up and then subtract it by 180
2x-7=29
"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together,
-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)
