The hexagon divides the circle into 6 parts. That means the angle projecting each side is: 360°÷ 6 = 60°
The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5
I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°
Sin(30) = s/5
5*Sin(30) = s
12*s = perimeter hexagon
(remember s is half the hexagon side)
12*5*Sin(30) = perimeter hexagon
30 inches = perimeter
Your ratio is 4:1 because it takes 4 cups of water for every cup of sugar.
Answer:
The Falcones have to travel at 25 m/h to make the trip in 2 hours.
Step-by-step explanation:
In order to find the answer you have to use the formula to calculate speed:
speed=distance/time
distance=50 miles. The stament indicates that the distance between Syracuse and Buffalo is 1 inch and that the map has a scale of inch = 50 miles.
time=2 hours
Now, you can replace the values on the formula:
speed=50 miles/2 hours
speed=25 m/h
According to this, the answer is that the Falcones have to travel at 25 m/h to make the trip in 2 hours.
The volume of a cone with a diameter of 30 feet and a height of 60 feet is 14130.
<h3>What is the volume of a cone?</h3>
The volume of the cone is given by;

The volume of a cone with a diameter of 30 feet and a height of 60 feet.
The radius of the cone is;

Substitute all the values in the formula

Hence, the volume of a cone with a diameter of 30 feet and height of 60 feet is 14130.
Learn more about the volume of cone here;
brainly.com/question/3013784
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The volume of a sphere refers to the number of cubic units that will exactly fill a sphere. The volume of a sphere can be found or calculate by using the formula V=4/3πr^3, where r represents the radius of the figure.
In this exercise is given that a sphere has a radius of 4 centimeters and it is asked to find its volume and use 3.14 as the value of π or pi. The first step would be substitute the values into the previous mention formula.
V=4/3πr^3
V=4/3(3.14)(4 cm)^3
V=4/3)(3.14)(64 cm^3)
V=267.9 cm^3
The volume of the sphere is 267.9 cubic centimeters.