Answer:
Step-by-step explanation:
An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.
The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.
1. Area of ∆OCD
CotOCD = OD/OC
cot30 = CD/6
√3 = CD/6
CD = 6√3
A= ½bh
A = ½ × 6√3 × 6 = 18√3 in²
2. Area of ∆ABC
A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²
Sure, depending on how the machine is constructed or programmed.
A function can represent any process that takes some input and assigns exactly one output to it. In the case of a simple vending machine, there could one button or sequence of button presses that correspond to the delivery of a certain drink or snack (provided that enough money is fed into the machine first).
A machine that wouldn't qualify as representing a function would be one that consistently offers two or more different drinks.
Answer:
5. 40
7. 12
8. 52
Step-by-step explanation:
This would be the second option. That is because a closed circle means that x could be 30, and shading to the left means that it could also be less than 30, which matches the description.
Answer:
Simplifying
1.6 + 4x = 14
Solving
1.6 + 4x = 14
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1.6' to each side of the equation.
1.6 + -1.6 + 4x = 14 + -1.6
Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 4x = 14 + -1.6
4x = 14 + -1.6
Combine like terms: 14 + -1.6 = 12.4
4x = 12.4
Divide each side by '4'.
x = 3.1
Simplifying
x = 3.1
Step-by-step explanation:
