Answer:
AKPOS/ACGF = 28√3 -48 ≈ 0.497423
Step-by-step explanation:
Let's assume the square is a unit square. Then the height of the triangle is ...
1 +(√3)/2 = h
and half the base of the triangle is ...
h/√3 = (√3)/3 +1/2 = b/2
The area of the triangle is the product of these:
A = (1/2)bh
= (2 +√3)/2 × (3 +2√3)/6
= (6 +3√3 +4√3 +6)/12 = (12 +7√3)/12
So, the ratio of the area of the square to that of the triangle is the inverse of this, or ...
(square area)/(triangle area) = 12/(12+7√3)
(square area)/(triangle area) = 28√3 -48
X=3
Explanation:
A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180
56+4x+112=180
168+4x=180
Subtract 168 from both sides
4x=12
Divide 4 from both sides
X=3
You can check by filling it in.
56+4*3+112=
12+56+112=180
65:100 because there are 65 girls and then 65 girls + 35 boys = 100 total students
Answer:
672
Step-by-step explanation:
Formula is length times width times height
14 x 8 = 112
112 x 6 = 672
So 2680 divided by 100 is 26.80 which is 1%, times 26.80 by 5 to get 5% = £134, £2680+134= £2814
