167.462 is the bigger number
If you draw a diagram of this, your given values of the resulting triangle give you the sides opposite and adjacent of the angle. The formula that uses these sides is tangent.
The tangent of an angle is equal to the ratio of the opposite side over the other non-hypotenuse side (adjacent).
Therefore;
Where x is the length of the string in feet.
Answer:
<h2><u><em>
100 in³</em></u></h2>
Step-by-step explanation:
A cube has a surface area of 60 in2. Find the volume in in3.
- we find the area of one of the 6 squares that make up the cube
60 : 6 = 10 in²
- with the inverse formula we find the side
√10 = 3,162277660168379
- we find the volume with the formula Volume = l³
3,162277660168379³ =
99,99999999999996
round
<u><em>100in³</em></u>
Let's start out by setting up three separate equations for each customer.
d = cost of drink, f = cost of fries, h = cost of hamburger
Miller Family: 4h + 3f = 13.27
James: d + h + 2f = 6.33
Steven: 2h + f + d = 7.04
Since the Miller's didn't order any drinks, let's start by using substitution to find the cost of d between James and Steven.
Let's isolate d with James:
d + h + 2f = 6.33
d = 6.33 - h - 2f
Now let's plug that into Steven's equation:
2h + f + d = 7.04
2h + f + (6.33 - h - 2f) = 7.04
h - f + 6.33 = 7.04
h - f = 0.71
h = 0.71 + f
Let's plug that new h into the Miller Family's equation:
4h + 3f = 13.27
4(0.71 + f) + 3f = 13.27
2.84 + 4f + 3f = 13.27
2.84 + 7f = 13.27
7f = 10.43
f = 1.49
So medium fries cost $1.49
Let's plug f back into the Miller Family's equation to get h:
4h + 3f = 13.27
4h + 3(1.49) = 13.27
4h + 4.47 = 13.27
4h = 8.8
h = 2.2
So a hamburger costs $2.20
Let's plug h and f into Steven's equation to calculate d
2h + f + d = 7.04
2(2.2) + (1.49) + d = 7.04
4.4 + 1.49 + d = 7.04
5.89 + d = 7.04
d = 1.15
So a medium drink costs $1.15
The answer is B. Drink = $1.15, Fries = $1.49, Hamburger = $2.20
