Let ABC be the triangle (with A as summit) and BC its base which is at the same time the diameter of the semi-circle. Let AH be the altitude of ABC.
Length of the Base BC (which is also the diameter of the semi circle) = 4 units and consequently the radius = 2 units
Length of the altitude AH = 5 units, hence:
a) the Area of ABC = (Base x Altitude)/2 = (4 x 5)/2 = 10 units²
b) the area of the semi circle is: (π x R²)/2 = (π x 2²)/2 = 6.28 units²
Total area = 16.28 units²
2m + 11 = 4m + 1
2m (-2m) + 11 (+1) = 4m (+2m) + 1 (-1)
12 = 6m
12/6 = 6m/6
m = 2
hope this helps
Answer:
(i) 4000
(ii) $5.00
Step-by-step explanation:
Let no. of shares of Company A be X
Let share price of Company B on Day 7 be $y
Share price of Company B on Day 12 = $(y-0.50)
(i)
Consider Day 7:
4.60x - 2000y = 7400................ (1)
Consider Day 12:
4.80x - 5000(y-0.50) = -5800
4.80x - 5000y + 2500 = -5800
4.80x - 5000y = -8300............... (2)
(1)*2.5:
11.5x - 5000y = 18500................. (3)
(3)-(2):
11.5x - 4.80x - 5000y + 5000y = 18500 + 8300
6.70x = 26800
x = 4000
(ii)
Sub. x = 4000 into (1):
4.60(4000) - 2000y = 7400
-2000y = 7400 - 18400
-2000y = -11000
y = 5.5
Share price of Company B on Day 12
= 5.50 - 0.50
= $5.00
Answer:
<em>1:45 P.M</em>
Step-by-step explanation:
time = 60 + 45 + 60 + 40 + 60 + 5 = 180 + 90 = 270
270/60 = 4 hrs and 30 mins
6:15 - 4 hrs = 2:15
2:15 - 30 mins = 1:45 pm
