Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
He bought 3 scoops, each costing $1.19
The cost of the three scoops= 3*1.19= $3.57
Total cost of scoops and toppings is $4.55
Cost of toppings only= 4.55-3.57= $0.98
Each topping costs $0.49
Therefore number of toppings bought= 0.98/0.49= 2
Answer: 2 toppings
answer:
B. 2:6 is equal to 1:3
2 and 6 are both even so you can split both of them in half and you would get 1 and 3
Co-terminal angle = 456 - 360 = 96 degrees
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