MATH SOLVE

3 months ago

Q:
# ANSWER QUICK AND I WILL MAKE YOU BRAINLIESTA Norman window is a window with a semi-circle on top of regular rectangular window. (See the picture.) What should be the dimensions of the window to allow in as much light as possible, if there are only 12 ft of the frame material available?The width of the window should be __ft, and the height of the window should be __ft.

Accepted Solution

A:

Answer: The width of the window should be [tex]7.6\ ft[/tex] and the height of the window should be [tex]3.8\ ft[/tex]Step-by-step explanation:we know thatThe circumference of a semicircle (window) is equal to[tex]C=\pi r[/tex]we have that[tex]C=12\ ft[/tex][tex]\pi=3.14[/tex]substitute and solve for r[tex]12=(3.14)r[/tex][tex]r=12/3.14=3.8\ ft[/tex]sothe width of the window is equal to the diameter of the semicircleso The width of the window should be [tex]3.8*2=7.6\ ft[/tex] and the height of the window should be [tex]3.8\ ft[/tex]