Answer:
18√2
Step-by-step explanation:
The smaller triangle sharing a vertex with the larger one is similar and half the area. That means its linear dimensions are √(1/2) = (√2)/2 times those of the larger triangle.
The line segment of interest has length ...
36 × (√2)/2 = 18√2
_____
The ratio of area of similar figures is the square of the ratio of their linear dimensions. Thus the ratio of linear dimensions is the square root of the ratio of area.
Answer:
20
Step-by-step explanation:
I took the test
Answer:
if you want to know the x is.
Step-by-step explanation:
(180°-4x)+(180°-6x)+2x=180°
x=22.5°
Step-by-step explanation:
If y was directly proportional to x, the graph of y against x would pass through the origin (O).
Since the graph above does not show this, y is not directly proportional to x.
The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.
<h3>Cost of each juice</h3>
Orange : Lemonade
3 : 5
After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;
Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)
(3 x 6L) : (5 x 6L)
18L : 30L
total fizzy juice = 18L + 30L = 48 liters
bottle of orange = (18 L ÷ 2 L) = 9 bottles
bottle of lemonade = (30 L ÷ 3L ) = 10 bottles
cost of orange = 9 x £1.20 = £10.8
cost of lemonade = 10 x £1.50 = £150
Total cost = £10.8 + £150 = £25.80 = 2580 P
<h3>Total bottles that will make 48 liters fizzy juice</h3>
250 mL = 0.25 L
0.25L(n) = 48 L
n = 48/0.25
n = 192 bottles
<h3>Cost of each bottle in Penny</h3>
cost = 2580 P/192
cost = 13.44 P
<h3>Amount each bottle should be sold to make a profit of 60%</h3>
A = 100%(initial cost) + 60%(initial cost)
A = 160%(initial cost)
A = 1.6(initial cost)
A = 1.6 x 13.44 P
A = 21.5 P ≈ 22 P
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