--------------------------------------------------------------------
Define x :
--------------------------------------------------------------------
Let the smallest number be x.
First number = x
Second Number = x + 1
Third Number = x + 2
--------------------------------------------------------------------
Construct equation :
--------------------------------------------------------------------
x(x+2) - (x+1) = 7(x+2) + 1
--------------------------------------------------------------------
Solve x :
--------------------------------------------------------------------
x(x + 2) - (x + 1) = 7(x + 2) + 1
x² + 2x - x - 1 = 7x + 14 + 1
x²- 6x - 16 = 0
<span>(x+2)(x-8) = 0
</span>x = -2 or x = 8
Since x is a positive integer, it cannot be negative.
⇒x = 8
--------------------------------------------------------------------------
Answer: The three numbers are 8, 9 and 10.
--------------------------------------------------------------------------
(p)=(333+114)•3
because 114 pages are already read and if he needs 333 pages to reach 1/3 of the book you add 114 and 333 so you can find out how much pages is 1/3 of the book. then you multiply that number by 3 because there are 3 sections of 333+114.
Area = length x width
24 = (n-3) x 2
24 = 2n -6
2n = 30
n = 15
Length is 15-3 =12, width is 2
24 = 12 x 2
Answer:
A
Step-by-step explanation:
the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).
10² = a² + 5²
100 = a² + 25
75 = a²
a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)
