Long leg = 8 → opposite
short leg = 6 → adjacent
hypotenuse = ?
8² + 6² = c²
64 + 36 = c²
100 = c²
√100 = √c²
10 = c
sin ∠BOC = opposite / hypotenuse
sin ∠BOC = 8 / 10
sin ∠BOC = 0.80
tan ∠BOC = opposite / adjacent
tan ∠BOC = 8 / 6
tan ∠BOC = 1.33
Answer:
The weight of the package is 1 kilograms.
It will cost $ 13 by both the couriers services.
Step-by-step explanation:
Let the weight of her package is x kilograms
Now, according to the question:
The charges of first Courier = $10 + $3(x)
and The charges of Second Courier = $7 + $6(x)
Also, for x kilograms, both the charges are equal
⇒ $10 + $3(x) = $7 + $6(x)
or, 10 + 3x = 7 + 6x
or, 10 -7 = 6x - 3x
⇒ 3x = 3, implies x = 3/3 = 1
⇒ The weight of the package is 1 kilograms.
It will cost : 10 + 3(1) = $ 13 = 7 + 6(1) by both the couriers services.
Answer:
all equation has a solution
Answer:
-1
Step-by-step explanation:
Answer:
Number of volleyballs bought = 8
Number of basketballs bought = 11
Step-by-step explanation:
Given that:
Total amount spent = $204.20
Let,
x be the number of volleyballs
y be the number of basketballs
According to given statement;
y = x+3 Eqn 1
8.20x+12.60y=204.20 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
8.20x + 12.60(x+3) = 204.20
8.20x + 12.60x + 37.80 = 204.20
20.80x = 204.20 - 37.80
20.80x = 166.40
Dividing both sides by 20.80
Putting x=8 in Eqn 1
y = 8+3 = 11
Hence,
Number of volleyballs bought = 8
Number of basketballs bought = 11
