Answer:
52 inches by 29 inches
Step-by-step explanation:
Let one side by 16x and the other side be 9x
We know the diameter is 60 inches
Using the Pythagorean theorem
a^2 + b^2 = c^2
(16x) ^2 + ( 9x) ^2 = 60 ^2
256 x^2 + 81x^2 = 3600
Combine like terms
337 x^2 = 3600
Divide each side by 337
337x^2 /337 = 3600/337
x^2 =10.68249258
Take the square root of each side
sqrt(x^2) =sqrt(10.68249258)
x =3.268408264
The sides are 16x by 9x
16*(3.268408264) =52.29453223 or 52
9 *(3.268408264)= 29.41567438 or 29
7x+15=38
7x=38-15
7x=23
x=23/7
Answer:
Step-by-step explanation:
Joseph : y = 25x + 15
Molly: y = 25x + 25
Joseph: y = 25(4)+ 15= 100+ 15= 115
Molly: y = 25(4)+ 25= 100+25= 125
Answer:
A) Ms. Swift can conclude that hey are similar, because line E,C,A is collinear, and they both are right triangles.
B) 158.3ft
Step-by-step explanation:
A) Having a collinear line makes the triangles similar, and because of their collinear line they are both right triangles.
B) The question tells you DE is 103 ft. You take 76ft and Square it giving you 5776ft You then take 103 and square it giving you 10609ft adding them together gives you 16385ft you take the square root of it and it gives you the hypotenuse of triangle CDE. To get the hypotenuse of triangle ABC you take The expression (AB/DE)=(BC/CD)=(AC/EC) step one (AB/DE)=(94ft/76ft)=AC/DE) step two (103ft/127ft)=(94ft/76ft)=(AC/DE) third step (103ft/127ft)=(94ft/76ft)=(128ft/158.3)
I truly hope this helps! :)
