1/2 of the side length p= 1/2 x 4 =2
centre angle=360/6=60 degrees
The APOTHEM bisects or divides the centre angle into two equal angles
1/2 of the centre angle=60/2=30 degrees
tan 30 degrees = 2/APOTHEM
APOTHEM=2/tan 30= 3.46 cm
The APOTHEM is the perpendicular height of the equilateral triangle given in the diagram.
Area of the equilateral triangle
=1/2 x 4 x 3.46
=6.93 cm^2
Area of the regular hexagon= 6 x area of the equilateral triangle= 6 x 6.93 =41.6 cm^2
Hope this helps!
#1. Step one) we set find what we can multiply by 5 to get 20, so we divide 20 by 5.
20/5 = 4
Step two) we multiply the bottom denominator (8) by 4
8x4=32
Step three) leave the top numerator the same (20) and replace (d) with 32
Answer : 20/32
#2 step one) we divide 14 by 7
14/7 = 2
Step two) divide 10 by 2
10/2=5
Step three) replace z with 5
Answer) 7/5
#3 step one) divide 24 by 8
24/8=3
Step two) divide 21 by 3
21/3 = 7
Step three) replace (x) for (7)
Answer) 7/8
Pam would read 235 pages in 141 minutes or 2hrs and 21min.
Divide 3 from 5 to get the time it takes her to read 1 page which is 0.6 . Now multiply .6 by the number of total pages (235) to find the time it takes, which would be 141 minutes, 2.35 hours, or 2 hours and 21 minutes (whichever you prefer) ( 3/5 = .6 × 235 = 141 )
Answer:
186 pounds
Step-by-step explanation:
volume : base area × height
area of rectangular triangle : a×b/2
Vp = (5.5 × 12 / 2) × 7.5 = 33 × 7.5 = 247.5 ft³
the weight of the contents : 247.5 × 0.75 = 185.625 pounds
= 186 pounds (rounded)
Answer:
1: 233 (E)
2: 10,920 (C)
3: 241.87 (F)
4: 12600 (B)
Step-by-step explanation:
Use the Pythagorean Theorem to find the hypotenuse (the missing side length):
To find area of triangle:
A = 1/2 • base • height
