Answer:
√5 is irrational
Step-by-step explanation:
A rational number is one that can be written exactly as an integer or ratio of integers. Written as a decimal number, it will have a finite number of digits, or a repeating decimal fraction.
<h3>Application</h3>
Usually, a number that can <em>only</em> be expressed <em>exactly</em> using a <em>symbol</em> will be irrational. For square roots, any root of an integer other than a perfect square will be irrational.
The integer 5 is not a perfect square. It is between the squares 2²=4 and 3²=9. The square root of 5 is irrational.
__
<em>Additional comment</em>
A reduced fraction whose denominator has factors other than 2 or 5 will translate to a repeating decimal. The number of repeating digits may be as many as 1 less than the denominator. For example, 1/19 has an 18-digit repeating decimal equivalent.
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
Answer:
72 cm³ (see below)
Step-by-step explanation:
First, refer to the volume formula:
V = l · w · h
If you plug in all of your values and simplify, you'll get the volume:
l = 6 cm
w = 3 cm
h = 4 cm
V = (6) (3) (4)
V = 18 (4)
V = 72 cm³
Because this is volume, the measurements are units cubed, meaning it's cm³.
I hope this helps you
let's find AB
AB=square root of 2^2+3^2
AB=square root of 13
cosO=2/sqrt13
sinO=3/sqrt13
tgO=3/2
ctgO=2/3
