Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
Answer:
Mason is incorrect.
Step-by-step explanation:
Equivalent ratios are formed when the same number is MULTIPLIED to each number in the ratior, not when the same number is added. So for example, a ratio equivalent to 2:3 would be 4:6, because 2*2=4 and 3*2=6. You multiply to create equivalent ratios, not add.
(That would be your explanation)
The volume of the second prism is 576 cubic centimeters. Since both prisms have the same height, I solved for the height using the data given with the first prism (I got 6 centimeters for the height). And then I calculated for the volume of the second prism.
-5/16 is less than -3/8
-5/16 is greater than -11/32
-5/16 is less than -1/4
5/16 is less than -1/8
