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3 years ago

Perimeter of hexagon with apothem of five

Mathematics

1 answer:

inn [45]3 years ago

5 0

Perimeter of hexagon with apothem of five

Step-by-step explanation:

1.A hexagons is a six-sided polygon. When a hexagon is regular it has six equal side lengths and an apothem. An apothem is a line segment from the center of a polygon to the middle point of any one side. You usually need to know the length of the apothem when calculating the area of a hexagon.

2.We can also use the area formula to find the apothem if we know both the area and perimeter of a polygon. This is because we can solve for a in the formula, A = (1/2)aP, by multiplying both sides by 2 and dividing by P to get 2A / P = a. Here, the apothem has a length of 4.817 units

3.The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides.

4.Multiply the side length by the number of sides to get the perimeter. The formula for finding the perimeter of a regular polygon is just the number of sides x the length of any side. Once you've multiplied those 2 numbers together, you've found the perimeter of the polygon

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Jose is thinking of a number.

alexira [117]

The number is 66.

Solution:

Let the number be x.

To find the number x using given conditions.

Start with the last condition.

It is less than 7 times 8 + 23 = 7 × 8 + 23 = 79

So, the number is less than 79 which implies x < 79.

Using condition (4),

It is greater than 5 times 4 = 5 × 4 = 20

So, the number is greater than 79 which implies x > 20.

Combining condition (4) and (7), we get 20 < x < 79.

Using condition (3) and (5),

The number is a multiple of 11 and 6.

The number which is multiplied by both 11 and 6 is 66, 132, ...

But here x lies between 20 < x < 79.

So x = 66.

66 is not odd number and the sum of the digits is divisible by 2.

Therefore condition (1) and (2) also satisfied.

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3 0

3 years ago

Find the distance between (4,6) and (-2, -2)

Nataly [62]

Answer:

$\displaystyle d = 10$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-2, -2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute [DF]: $\displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}$
Subtract: $\displaystyle d = \sqrt{(-6)^2+(-8)^2}$
Exponents: $\displaystyle d = \sqrt{36+64}$
Add: $\displaystyle d = \sqrt{100}$
Evaluate: $\displaystyle d = 10$

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2 years ago

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Lynna [10]

Answer:

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Step-by-step explanation:

15w-6x+6x+20w

collect like terms

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=35w

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3 years ago

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finlep [7]

Step-by-step explanation:

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3 years ago

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amm1812

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