The area of the window is 
The shape of the Norman window is described as a rectangle surmounted by a semicircle.
Let 'x' be the width of the window.
Then this width corresponds to the diameter of the semicircle.
That is, radius of the semicircle = x/2
Now given the perimeter of the whole window = 25 ft
This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.
Perimeter of the semicircle = 
, where r is the radius of the semicircle.
Now let 'y' be the length of the window.
Then sum of three sides of the window = 2y + x
So 2y + x + 
= 25
Therefore, 
Area of the window = Area of the semicircle + Area of the rectangle =
So Area of the window =
Learn more about area of circle and rectangle at brainly.com/question/4694841
#SPJ4
For this case, we must find the quotient of
divided by
, to verify if Tina was correct.
So:
So, Tina was wrong, she had to divide by 3x.
Answer:
Option B
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Step-by-step explanation:
Let,
The longer leg = x
The shorter leg = x-7
Hypotenuse = x+7
Using Pythagoras theorem;
Either,
x= 0
Or,
x-28=0 =>x=28
As length cannot be zero, therefore,
Longer side = 28cm
Shorter side = x-7 = 28-7 = 21cm
Hypotenuse = x+7 = 28+7 = 35cm
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Keywords: triangle, pythagoras theorem
Learn more about triangles at:
#LearnwithBrainly
Answer:
Checkpoint B = (-9,5)
Step-by-step explanation:
Here is an image of the graph and coordinates.
