Yes, all square roots of non square numbers are irrational. That means that the sqrt of a whole number will never be a fraction, but always an irrational number or an integer.
Second question, not entirely sure who "it" is...
The divisors of 2205 are: 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205.
Trying them out small to large:
√(2205/3) = <span>
27,11088...</span> irrational
√(2205/5) = 21 rational!
So 5 is a divisor because 5*441 = 2205. Also √441=21 and 21 is rational.
It is important to keep a
close eye on all the information’s that are given in the question. Based on
those given information’s the answer can be easily deduced.
The distance traveled by Linda in 3 hours = 4.8 miles
Then
In 1 hour the distance traveled by Linda = (4.8/3) * 1 miles
= 1.6 miles
So the speed of Linda is 1.6 miles per hour.
I hope the procedure is simple
enough for you to understand. You can always solve similar kind of problems
using this simple procedure.
Answer:
h = 40 cm
Step-by-step explanation:
The volume of a sphere is given by :
The volume of a cone is given by :
r is radius and h is height
ATQ,
A sphere and a cone both have a radius of 10 cm and they have same volume.
So, the height of the cone is 40 cm.
x is the radius, so you just have to do circumference backwards so that you can find the diameter and cut it in half, thats how you find x
−
cot
(
x
)
csc
(
x
)
+
csc
2
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x
)