Answer:
The correct answer is option A. Base = 11 cm and height = 13 cm
Step-by-step explanation:
It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²
<u>To find the base an d height of original triangle</u>
Let x be the original base 'b' then the height h = x + 2
New height h = x + 2 + 2 = x + 4
Area = bh/2
82.5= (x(x + 4)/2
165 = x² + 4x
x + 4x - 165 = 0
Solving we get x = 11 and x = -15
Take positive value x = 11
Therefore base = 11 and height = x + 2 = 13 cm
The correct answer is option A. Base = 11 cm and height = 13 cm
Answer:
-11
Step-by-step explanation:
let (2,1)be x1 and y1 respectively
(3,-10) be x2 and y2 respectively
From,slope= (y2-y1)/(x2-x1)
=(-10-1)/(3-2)
= -11/1
= -11
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal =
=47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53