Since
The square root of 11 is somewhere between 3 and 4. In order to round it to the nearest tenth, we have to try all numbers between 3 and 4 with one decimal digit, and see which is closest to 11 when squared. We have
![\begin{array}{c|c}n&n^2\\3&9\\3.1&9.61\\3.2&10.24\\3.3&10.89\\3.4&11.56\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Dn%26n%5E2%5C%5C3%269%5C%5C3.1%269.61%5C%5C3.2%2610.24%5C%5C3.3%2610.89%5C%5C3.4%2611.56%5Cend%7Barray%7D%5Cright%5D)
So, the square root of 11 is somewhere between 3.3 and 3.4.
268 kilometers=166.527 round to the nearest hundredth=<span>166.53</span>
Answer:
Volume of cylinder = 360.010cubic inches
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
V - volume
π - pie
r - radius
h - height
Given
V = 120 inches cubic
π - 3.142
120 = 3.142 * r^2 * h/3
120 = 3.142r^2h/3
120 = 3.142/3 * r^2h
120 = 1.0473r^2h
r^2h = 120 / 1.0473
= 114.580
Make h the subject of the formula
h = 114.580 / r^2
Gotten the value for h, substitute h into the formula for volume of a cylinder
Since the cone and the cylinder has the same base and height
V = πr^2h
h = 114.580/r^2
π - 3.142
V = 3.142 * r^2 * (114.580/r^2)
V = 3.142 * r^2 * 114.580/r^2
r^2 divides r^2
V = 3.142 * 114.580
V = 360.010 cubic inches
Answer:
6 ft and 8 ft
Step-by-step explanation:
let x be the length of one leg then (x + 2) is the other leg.
Using Pythagoras' identity in the right triangle, that is
x² + (x + 2)² = 10² ← expand left side and simplify
x² + x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide all terms by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
But x > 0 ⇒ x = 6
Thus the 2 sides are 6 ft and x + 2 = 6 + 2 = 8 ft
The number sentence would be 8+9=17 because commutative property is when you just switch around the numbers but get the same answer.
