Answer:
3rd option
Step-by-step explanation:
( factorise numerator and denominator )
3x² - 3 ← factor out 3 from each term
= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
x² - 1
= x² - 1²
= (x - 1)(x + 1) , then
3x² - 3 = 3²(x - 1)(x + 1) ← in factored form
--------------------------------
x² - 5x + 4
consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)
the factors are - 1 and - 4 , since
- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then
x² - 5x + 4 = (x - 1)(x - 4)
then
= 
← in factored form
A = (1/2)bh
64 = (1/2)(8)h
16 = h
The height is 16 inches
I'd say A because all side are equal.
Answer:
7.5 m 457.5
Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V = 
.
Original Cone = = 
= 937.5
Smaller Cone = = 
= 480
Frustum = 937.5 - 480 = 457.5
Answer:
14 correct and 11 wrong
Step-by-step explanation:
If you got a 56% , we need to change this to decimal form 56% = .56
This is the percent you got right
.56* 25 = 14
You got 14 questions right
To determine the number of questions you got wrong, take the total number of questions minus the number you got right.
25-14 =11
You got 11 wrong
