PLEASE HELP I ONLY HAVE 12 MINUTES!! The pendulum of the grandfather clock shown below swings at a maximum angle of 25 degrees.
The arc length of the path of a full pendulum swing measures 1/2n feet. How long, in feet, is the pendulum?
2 answers:
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Answer:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Step-by-step explanation:
We know that the dive results in 40 gold coins.
We know that:
Alice: $7,600 Ben: $5,900 Carlos: $1,400.
So they have $ 14900 in total.
Now we will divide that money by 40.
So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.
We conclude that:
Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.
Answer:
Step-by-step explanation:
The base of the pyramid we need to study is a hexagon.
Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.
Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")
Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.
We know the area of a triangle is the product of its base times its height, divided by 2:
We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures , so replacing this value in the formula above for the area of one of the triangles:
Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):
Area of hexagon =
which is the last option given in the list.
