Hello! The answer would be,
38.4
Since if you do 24x0.6 you would get 14.4 which then you would add
14.4 with 24 and get 38.4
Hope I've helped and feel free to ask me questions!
Sincerely, Kaylie :)
Answer:
1. zach is 20'
2. zack is 13
Step-by-step explanation:
Answer:
4 sqrt(5)
-----------------
5
83 +12 sqrt(35)
Step-by-step explanation:
1. 4 sqrt(6)
--------------------
sqrt(30)
Multiply the top and bottom by sqrt(30) to rationalize the denominator
4 sqrt(6) *sqrt(30)
--------------------
sqrt(30)*sqrt(30)
4 sqrt(180)
--------------------
30
Simplify
2 sqrt(36 *5)
--------------------
15
We know that sqrt(ab) = sqrt(a) sqrt(b)
2 sqrt(36)sqrt(5)
--------------------------
15
2 *6*sqrt(5)
-------------------
15
Simplify
2 * 2 sqrt(5)
---------------------
5
4 sqrt(5)
-----------------
5
2. (2 sqrt(5) + 3 sqrt(7))^2
(2 sqrt(5) + 3 sqrt(7)) (2 sqrt(5) + 3 sqrt(7))
FOIL
first 2sqrt(5)*2sqrt(5)=4*5=20
outer 2 sqrt(5) * 3 sqrt(7) = 6 sqrt(35)
inner 3 sqrt(7) *2 sqrt(5) = 6 sqrt(35)
last 3sqrt(7) 3sqrt(7) = 9*7 = 63
Add them together = 20 + 6 sqrt(35)+ 6 sqrt(35) +63 = 83 +12 sqrt(35)
The arc length is the product of the angle measure in radians and the radius.
... s = r·θ
So, the angle in radians is the ratio of arc length to radius.
... θ = s/r
To convert from radians to degrees, multiply by the conversion factor 180°/(π radians).
... y = s/r·(180°/π)
Then the angle is between
... 15/20·180/π ≈ 42.97
and
... 16/20·180/π ≈ 45.84
Suitable integers in this range are 43, 44, and 45.
One possible integer value of y is 44.