Answer:
135x^3 + 3x^2 - 46x + 8.
Step-by-step explanation:
(5x-1)(3x+2)(9x-4)
= (5x - 1)(27x^2 + 18x - 12x - 8)
= (5x - 1)(27x^2 + 6x - 8)
= 5x(27x^2 + 6x - 8) - 1(27x^2 + 6x - 8)
= 135x^3 + 30x^2 - 40x - 27x^2 - 6x + 8
= 135x^3 + 3x^2 - 46x + 8.
Answer:
<h3>The answer is option A</h3>
Step-by-step explanation:
Surface area of a pyramid =
area of base + area of triangular faces
Since it's a square based pyramid
It's surface area is
area of base + 4( area of one triangular face)
Since the square has equal sides
<u>For square base </u>
Area of a square = l²
where l is the length
From the question l = 5
So we have
Area of square base = 5² = 25ft²
<u>For one of the triangular face</u>
Area of a triangle = ½ × base × height
base = 5
height = 6
Area = ½ × 5 × 6 = 15ft²
So the surface area of the pyramid is
25 + 4(15)
= 25 + 60
We have the final answer as
<h3>Surface area = 85 ft²</h3>
Hope this helps you
There are 23 nickles in her purse
Answer:
The fraction is
Step-by-step explanation:
Let the numerator be x and denominator be y
So, Fraction = 
Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4
So, Fraction becomes :
----1
We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2
So, Fraction becomes :
---- 2
Substitute the value of y from 2 in 1
Substitute the value of x in 2
So, Fraction = 
Hence The fraction is
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
