<h3>Given</h3>
1) Trapezoid BEAR with bases 11.5 and 6.5 and height 8.5, all in cm.
2) Regular pentagon PENTA with side lengths 9 m
<h3>Find</h3>
The area of each figure, rounded to the nearest integer
<h3>Solution</h3>
1) The area of a trapezoid is given by
... A = (1/2)(b1 +b2)h
... A = (1/2)(11.5 +6.5)·(8.5) = 76.5 ≈ 77
The area of BEAR is about 77 cm².
2) The conventional formula for the area of a regular polygon makes use of its perimeter and the length of the apothem. For an n-sided polygon with side length s, the perimeter is p = n·s. The length of the apothem is found using trigonometry to be a = (s/2)/tan(180°/n). Then the area is ...
... A = (1/2)ap
... A = (1/2)(s/(2tan(180°/n)))(ns)
... A = (n/4)s²/tan(180°/n)
We have a polygon with s=9 and n=5, so its area is
... A = (5/4)·9²/tan(36°) ≈ 139.36
The area of PENTA is about 139 m².
Answer:
Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft
Step-by-step explanation:
The image attached represent the rectangular park. In this case, the dimensions are;
AB = CD = 215 ft
AC = BD = 150 ft
Total distance walked by Ross = AB + BD = 215 + 150 = 365 ft
Distance walked by Ronnie = AD
∠ABD = right angle triangle, using pythagoras rules;
AD² = AB² + BD²
AD² = 215² + 150²
AD² = 68725
AD = √68725
AD = 262.15 ft
Distance walked by Ronnie = 262.15 ft
Ronnie walked the shortest distance by (365 - 262.15 ) = 102.85 ft
Answer:
1/2
Step-by-step explanation:
1. 4 1/2- 2 1/2= 2
2. 2+1=3
3. 3-2 1/2= 1/2
He has enough
As far as I can see, it should be 5/10 is parrots which is simplified into 1/2 .
Hope this helps!
