Answer:
Step-by-step explanation:
(i) Area of ABCD = (base1+base2)*height/2
= (6+12)*4/2 = 36 cm2
(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3
(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25
= 72 + 250 + 150 + 300
= 772cm2
Option C:
is the right answer
Step-by-step explanation:
Given points are:
(x1,y1) = (-1,2)
(x2,y2) = (3,4)
First of all, the slope has to be found

The slope-intercept form of line is:

Putting the value of m

Putting (3,4) in equation

Putting the value of b

Hence,
Option C:
is the right answer
Keywords: Equation of line, slope
Learn more about equation of line at:
#LearnwithBrainly
The sum of n terms of a geometric series is given by

Substituting the given numbers, you have

There are 6 terms in the series.
Answer:
(2)
Step-by-step explanation:
One property of a parallelogram is
• opposite angles are congruent, hence
∠L = ∠N and ∠M = ∠P
Using ∠L = ∠N, then
8x - 41 = 6x + 3 ( subtract 6x from both sides )
2x - 41 = 3 ( add 41 to both sides )
2x = 44 ( divide both sides by 2 )
x = 22
-------------
∠M = 2x + 1 = (2 × 22) + 1 = 44 + 1 = 45°
∠P = ∠M = 45° → (2)
Students in 2014 = (100% + 33%) × 2,300
students in 2014 = 133% × 2,300
students in 2014 = 133/100 × 2,300
students in 2014 = 3,059
There are 3,059 students in 2014