Answer: the length of string that been let out to fly the kite this high is 172.89 ft
Step-by-step explanation:
The length of string attached to the kite, the vertical height of the kite above the ground and the ground distance forms a right angle triangle.
With an angle of 57 degrees, the length of the string that is attached to the kite represents the hypotenuse of the right angle triangle.
The height of the kite above the ground represents the opposite side of the triangle
To determine h, the length of the string that has been let out to fly the kite this high, we would apply the
Sine trigonometric ratio which is expressed as
Sine θ = opposite side/hypotenuse
Sin 57 = 145/h
h = 145/Sin57 = 145/0.8387
h = 172.89
First, you want to solve for the equation for this problem, would be:
0.05N + 0.10D = 20.50
While N = The amount of nickels, and D = The amount of dimes.
Since N = 164, and D = 123. It would add up to 287 coins. 164 + 123 = 287.
Now that you have the number for those two variables, solve the equation for when N = 164, and D = 123.
0.05N + 0.10D = 20.50
<span>0.05(164) + 0.10(123) = 20.50
</span><span>8.2 + 12.3 = 20.50
</span>20.50 = 20.50
So, there is 164 nickels, and 123 dimes for your answer.
<em>I hope this helps! </em>
<em>~ Notorious Sovereign</em>
Answer:
x=19
Step-by-step explanation:
24-5=19
If x = 2 than, 6(4x2)=48
-3(8x)= -24
It would equal 24
Answer:
Let x be the price of an adult ticket and y be the price of a youth ticket.
One family spends $134 on 2 adult tickets and 3 youth tickets so we can write: 2x+3y=134
Another family spends $146 on 3 adult tickets and 2 youth tickets so we can write: 3x+2y=146
We need to find y so we eliminate x. Multiply (1) by 3 and (2) by 2 to obtain (3) and (4): 6x+9y=402
6x+4y=292
Subtract (3) and (4) and solve for y: 5y=110
y=22→$22
Step-by-step explanation:
