How do you find the surface area of a regular pyramid

Answers

Answer 1
Answer:

The surface area of the pyramid is calculated by the formula B +(1/2) *P*L.

What is a Regular Pyramid?

A regular pyramid is a three dimensional structure with a regular polygon base and all the lateral surfaces are equal.

The surface area of a Regular Pyramid is the sum of the area of the base and the area of the lateral surface.

Surface area of Pyramid =  Area of base + Lateral surface area of the sides

Surface area of Regular Pyramid = B +(1/2) *P*L

Here P is the perimeter of the base and L is the slant height, B is the area of the base.

Therefore, the surface area of the pyramid is calculated by the formula B +(1/2) *P*L.

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Answer 2
Answer:

The lateral surface area of a regular pyramid is the sum of the areas of its lateral faces. The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base. The general formula for the lateral surface area of a regular pyramid is where p represents the perimeter of the base and l the slant height. Example 1:Find the lateral surface area of a regular pyramid with a triangular base if each edge of the base measures 8 inches and the slant height is 5 inches.The perimeter of the base is the sum of the sides.p = 3(8) = 24 inchesThe general formula for the total surface area of a regular pyramid is where p represents the perimeter of the base, l the slant height and B the area of the base. Example 2:Find the total surface area of a regular pyramid with a square base if each edge of the base measures 16 inches, the slant height of a side is 17 inches and the altitude is 15 inches.The perimeter of the base is 4s since it is a square.p = 4(16) = 64 inches The area of the base is s2.B = 162 = 256 inches2T. S. A. = There is no formula for a surface area of a non-regular pyramid since slant height is not defined.  To find the area, find the area of each face and the area of the base and add them.          


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Vito is reading a historical fiction novel about Nelson Mandela for his literature class. He needs to identify a theme from the novel. Which statement is an example of a theme?Politicians can become very famous.
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Mandela encouraged peace in his country while he was president.

Answers

Answer:

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Find the equation of the circle whose center and radius are given.center ( 5, 6), radius = 3

Answers

Answer:

(x-5)^2+(y-6)^2 =9

Step-by-step explanation:

The  equation of circle is given by:

(x-h)^2+(y-k)^2 = r^2

where,

(h, k) is the center

r is the radius of the circle.

As per the statement:

Given: center ( 5, 6), radius = 3 units

⇒(h, k) = (5, 6) and r = 3 units

Substitute these in [1] we have;

(x-5)^2+(y-6)^2 = 3^2

(x-5)^2+(y-6)^2 =9

Therefore, the equation of the circle is, (x-5)^2+(y-6)^2 =9

the general formula of the circle is (x-h)^2 + (y-k)^2 = r^2 
where (h,k) the center of the circle and r is the radius  
so , the equation is (x-5)^2 + (y-6)^2 = 9

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to the nearest hundredth. A calculator may be helpful.a = 20, b = 28, c = ?

A.35.45


B.34.72


C.35.88


D.34.41

Answers

The answer is D. To solve for the third side we use the Pythagorean Theorem. It is expressed as the squared of the hypotenuse is equal to the sum of the squares of the two remaining sides, c^2 = a^2 + b^2.

We are given the sides of the triangle which were 20 and 28 thus we can solve for the hypotenuse.

c^2 = 20^2 + 28^2
c = √(20^2 + 28^2)
c = 34.41

Answer:

34.41

Step-by-step explanation:

Using the Pythagorean Theorem:

a^2 + b^2 = c^2

20^2 + 28^2 = c^2

400 + 784 = c^2

1,184 = c^2

sqrt(1,184) = c

34.41 = c

In the two-column proof below, provide a reason for each statement.

Answers

The ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees. In the given conditions, we have ∠2 ≅ ∠1 (given), and ∠7 and ∠13 are supplementary angles.

Supplementary angles add up to 180 degrees, so we can conclude that ∠7 + ∠13 = 180 degrees.

Now, we can use the fact that ∠2 ≅ ∠1 to deduce that ∠2 = ∠1.

Since ∠7 and ∠13 add up to 180 degrees and ∠2 = ∠1, we can deduce that ∠2 + ∠13 = 180 degrees.

This means that ∠4 (which is equal to ∠2) and ∠13 are congruent (∠4 ≅ ∠13) because they both form part of the angles that add up to 180 degrees.

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This question is not complete, Here I am attaching the complete question: Below i am attaching the image.

In the two-column proof below, provide a reason for each statement. Given: ∠ 2 ≅ ∠7 and ∠7  and ∠13 are supplementary angles Prove: ∠4 ≅ ∠13

If there are 16 values in a data set in order from smallest to largest, what is the median of the data set?A. The mean of the 8th and 9th values
B. The 8th value
C. The 7th value
D. The mean of the 7th and 8th values

Answers

A.) The mean of the 8th and 9th values

Calculate one tenth of an income of $12,347 by dividing by 10. 12.35 123.47 1,234.70 123,470

Answers

Answer: 1,234.70

Step-by-step explanation:

The given amount of income = $12,347

To find :  One tenth of an income of $12,347  

To calculate one tenth of an income of $12,347, we need to divide $12,347 by 10 ,we get

12,347/10\n\n=(12,347 )/(10)\n\n=1,234.7

On dividing a number by ten , we put decimal just before the first digit from the right.

Hence, One tenth of an income of $12,347 = 1,234.70

1,234.70. Hope this helps