Answer:
115% of 75 is equivalent to 75 by 1.15 = 8.625 , This two are equivalent
Step-by-step explanation:
Given as :
Tyson multiplies 75 by 1.15
I .e 75 × 1.15 = 86.25
Now A ) 115% of 75 = × 75 = 86.25
B) 15% of 75 = × 75 = 11.25
C) 11.5% of 75 = × 75 = 8.625
D) 1.15% of 75 = × 75 = 0.8625
∵ 115% of 75 is equivalent to 75 by 1.15 , so Tyson try to find the option A
Answer
Answer:
Length of the rectangle is 15.0325 km and width is 0.3765 km.
Explanation:
Given:
Perimeter of a rectangle = 30.8 km
Length of diagonal of rectangle = 11 km
To find:
The length and width of rectangle=?
Solution:
Lets assume length of the rectangle = x km
And assume width of the rectangle = y km
Lets first create equation using given perimeter
perimeter of rectangle = 2 ( length + width )
=> 30.8 km = 2 ( x + y )
=>
=> y = 15.4 – x ------(1)
As diagonal and two sides of rectangle forms right angle triangle whose hypoteneus is diagonal ,
=>
=>
=>
On substituting value of y from (1) in above equation we get
=>
=>
=>
=>
Solving above quadratic equation using quadratic formula
General form of quadratic equation is
And quadratic formula for getting roots of quadratic equation is
As equation is , in our case
a = 2 , b = -30.8 and c = 116.16
Calculating roots of the equation we get
=> x = 15.0325 or x = 0.3675
As generally length is longer one ,
So x = 1.0325
From equation (1) y = 15.4 – x = 0.3765
Hence length of the rectangle is 15.0325 km and width is 0.3765 km.