The surface area of the pyramid is calculated by the formula B +(1/2) *P*L.
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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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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Mandela served as president of South Africa for five years.
Challenges can be overcome through hard work and persistence.
Mandela encouraged peace in his country while he was president.
Answer:
In Nelson Mandela's family he was the first to receive a formal education. At that time, very few black kids attained high school education in South Africa.
Answer:
Step-by-step explanation:
The equation of circle is given by:
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;
⇒
Therefore, the equation of the circle is,
A.35.45
B.34.72
C.35.88
D.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
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
B. The 8th value
C. The 7th value
D. The mean of the 7th and 8th values
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
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