3/4x = 2/3
4/3(3/4)x = (2/3)(4/3)
x = 8/9
Answer:
cos A = 6/10
Step-by-step explanation:
That'd be cos A. The cosine function is defined as the ratio
adjacent side
------------------------
hypotenuse
and here that ratio is cos A = 6/10.
First, you need to turn it into a fraction by doing the multiplication. 6/1 × 3/20 which is 18/20. then you simplify it to get 9/10. 9/10 is your answer
Answer:
The length of the rectangle is 11 inch and its width is 8 inch.
Step-by-step explanation:
Given:
Rectangle
and rectangle
.
Let the width of the rectangle be 'x' inch.
Its length = '(x+3)' inch
Area of the rectangle = 
⇒
= 
Now for rectangle
its width is decreased by 1 inch and length is doubled,the area
will increased by 66 sq-inch.
So,
According to the question.
⇒ Area of rectangle
with width '(x-1)' and length '2(x+3)'='(2x+6)' .
⇒ 
Plugging the values of
in terms of
.
⇒ 
Plugging
=
into the equation.
⇒
⇒ 
⇒ 
⇒ 
Now using quadratic formula we can find the value of 'x'.
Quadratic formula, (x)=
x= -9 and x= 8
Discarding the negative value.
Our width = 'x' = 8 inches.
So the length of the rectangle = 11 inches and width of the rectangle = 8 inches.