11) In the right regular hexagonal pyramid, suppose that each base edge measures 8 m and the apothem of the base measures 5 m. The altitude of the pyramid measures 9 m. a) Find the exact total area of the pyramid.
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
do 11 please
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**Explanation:**
- In problem 11, you are given the dimensions of a hexagonal pyramid. Using these dimensions, you need to calculate the total surface area and the volume of the pyramid.
- In problem 12, you need to solve for the measure of angle DBC given certain angle relationships and conditions involving a right angle and algebraic expressions.
**Diagrams:**
- Although there are no specific diagrams provided in the problem statement, visualizing the hexagonal base, apothem, altitude of the pyramid, and right-angle triangles will help in solving these questions.
**Use the following formulas:**
- For the total area of the pyramid:
\[ \text{Total Area} = \text{Base Area} + \text{Lateral Area} \]
- For the volume of the pyramid:
\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
- For solving the angle-related problem, use algebra and angle sum properties.
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