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Shtirlitz [24]
3 years ago
13

Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra

dical form.

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}

Substitute values for a and h

A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}

Evaluate all squares

A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}

A = 100 + 2 * 10 * \sqrt{25 + 144}

A = 100 + 2 * 10 * \sqrt{169}

Take positive square root of 169

A = 100 + 2 * 10 * 13

A = 100 + 260

A = 360

<em>Hence, the area of the pyramid is 360 unit²</em>

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Answer: 35≤ x ≤95  

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Step-by-step explanation:

In an optimization problem, a constraint is a condition with variables that the solution must meet.

Let x = Number of cinnamon strawberry raisin buns.

y =  Number of cinnamon chocolate mango buns baked.

"at least 35 and not more than 95 cinnamon  strawberry raisin buns per day."

⇒ 35≤ x ≤95  

"cinnamon strawberry raisin buns cannot exceed twice the number of cinnamon chocolate mango buns baked."

⇒ x ≤ 2y

" cinnamon strawberry raisin buns cannot exceed 125 per day"

⇒ y≤125

Hence, the constraints are:

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Step-by-step explanation:

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Answer:

We know that there are four types of geometric transformations namely translation, reflection, rotation and dilation.

1. Translation: It is a rigid transformation that moves the objects in any direction. Few examples of translation we see in real life are:

A. When we move furniture in the house from one place to another.

B. The position of a car on the road is an example of translation.

C. When we changes the places of pieces on the chessboard.

2. Reflection: is a rigid transformation that flips the object. It can be easily observed in real life in the following ways:

A. The reflection of light from any object is the most easily viewed example of reflection.

B. Looking at yourself in the mirror is because of reflection.

C. When we can see our faces through clear water is also because of reflection.

3. Rotation: It is a rigid transformation that turns the object to a certain degree. The few examples of rotation are:

A. Opening of the door to a certain angle.

B. The spinning of Earth, Sun and other planets.

C. The moving of the hands of the clock is an example of rotation.

4. Dilation: It is a rigid transformation that changes the shape of the object. It's few examples are:

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C. Miniature version of buildings that are in proportion to the actual size of the buildings.

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