Answer:
The expression for area of rectangle in standard form is:
Step-by-step explanation:
The area of rectangle is given by:
Here, in the question, we are given length and width of the rectangle
Length = 2x-3
Width = 5x+9
The area of the rectangle will be:
Hence,
The expression for area of rectangle in standard form is:
Answer: The height of the tree is 12.57 ft.
Step-by-step explanation:
The height of a thing is proportional to the its shadow.
Let H = Height and S = length of shadow
Then by equation direct proportion , (i)
Given : A tree that casts a 22 ft shadow at the same time a 4 ft postpost casts a shadow which is 7-ft long.
Put in (i), we get
Hence, the height of the tree is 12.57 ft.
Answer:
The length of x in the simplest radical form with a rational denominator will be:
Step-by-step explanation:
Given
hypotenuse = 5
angle Ф = 60°
To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 60°
adjacent of 60° = x
hypotenuse = 5
so substituting Ф = 60°, adjacent = x and hypotenuse = 5 in the equation
cos Ф = adjacent / hypotenuse
so
switch sides
Multiply both sides by 5
Simplify
Therefore, the length of x in the simplest radical form with a rational denominator will be: