The greatest common factor of 30 would be 30
Using the side length as the hypotenuse of a right triangle and half the given angle as the adjacent angle. Find the length of the base of a right triangle. This would be half the length of BD.
Cos(60) = adjacent leg/ 10
adjacent leg = cos(60) x 10
Adjacent leg = 5
Length of BD = 5x 2 =
10
Answer:
<h2>120 cars</h2>
Step-by-step explanation:
This problem is on ratio, and we can use part to the whole to arrive at our answer
given that total vehicles is 210 vehicles
the sum of the ratio of cars to trucks is = 4+3= 7
therefore applying part to the whole formula we have
for cars
4/7=x/210
cross multiply we have
7x= 210*4
x= (210*4)/7
x= 30*4
x= 120
So in all there are 120 cars in the lot
Answer:
The cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
Step-by-step explanation:
To obtain the cheapest way to buy 9 liters of orange juice, the cost per liter of each type of container must be determined:
500 ml bottle = £1.15 (£2.30 per liter)
1.5 l carton = £2.70 (£1.80 per liter)
2 cartons of 1.5 l = £5 (£1.66 per liter)
3.5 l carton = £5.75 (£1.64 per liter)
Thus, there is in principle a staggered way to buy the drink: 2 cartons of 3.5 liters, plus 1 carton of 1.5 liters, plus 1 bottle of 500 ml, which would add up to a total cost of £15.35 (5.75 x 2 + 2.70 + 1.15) .
Now, you could also take advantage of the promotion of 2 cartons of 1.5 l at £5, with which buying 3 of these promotions would acquire the 9 liters of drink (1.5 x 2 x 3) at £15 (3 x 5).
Thus, the cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
15+2*8-12+42
15+16-12+42
31-12+42
19+42
61
