*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: 
square units
(22)
Similar to (21)
Area = 
square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: 
square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = 
square units
Answer:
deez n u t s
Step-by-step explanation:
Answer:
Step-by-step explanation:
Numer 1: The answer to this problem is 4 pounds
Numer 2: 13 cups
Explanation:
Four jars of sauce with 26 oz would be a total of 104 ounces
4 x 26 = 104
1 cup contains 8 ounces.
104 oz x 
=13 cups
Numer 3: Since, 1 quartz = 33.307 ounces ( approx )
⇒ 3 quartz = 99.921 ounces
If the total number of players = 16,
And, the given fluid is divided equally among these players,
Then the total quantity of fluid each player get
=
=6.24505625= 6.245
Hence, each player will get around 6.245 ounces of the drink.
Number 4:
36 inches or 3 feet is the correct answer
Number 5 ;
The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...
There are:
64 boxes of pencils
1 box weighs 2.5 ounces
Find its total weight in pounds.
1 ounce = 0.0625 pounds
64 boxes * 2.5 ounces = 160 ounces
160 ounces * 0.0625 pounds/1 oz = 10 pounds.
The 64 boxes of pencils weigh 10 pounds.
Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume:
