In order to answer this one, it's really really really really helpful if you know what the law of cosines says. In fact it's absolutely necessary.
The law of cosines says if you know two sides of a triangle and the angle between them then you can use that information to find the length of the third side.
In the picture you know the lengths of two sides and you know the angle between them. So you can use the law of cosines to find the length of the third sidethat. That's side AC.
Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6
<h3>Perimeter of rectangle</h3>
Perimeter of rectangle = 2(length + width)
- Perimeter of the rectangle = 34 ft
- Length of the rectangle = 3(x - 2) ft
= 3x - 6
- Width of the rectangle = 4x - 7 + (-2x)
= 4x - 7 - 2x
= 2x - 7
Perimeter of rectangle = 2(length + width)
34 = 2{(3x - 6) + (2x - 7)}
34 = 2(3x - 6 + 2x - 7)
34 = 2(5x - 13)
34 = 10x - 26
34 + 26 = 10x
60 = 10x
x = 60/10
x = 6
Learn more about perimeter of rectangle:
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Answer:
$720
Step-by-step explanation:
$1,200 divided by 2 (600) equals how many vanilla cupcakes there were.
40 people times 24 cupcakes each person (960) equals how many total cupcakes there were.
The total amount of cupcakes minus the amount of vanilla cupcakes equals the amount of chocolate cupcakes (960-600=360).
360 chocolate cupcakes times the amount each cupcake was sold for equals the amount of money raised from the chocolate cupcakes (360x2=720).
