Mathematics, 18.07.2019 00:00 akepa

Me i don't know how to do this identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm. identify the lateral area and surface area of a regular hexagonal pyramid with base edge length 60 m and slant height 35 m.

Answers: 1

Show answers

Answers

Area of each lateral area = 1/2 * 14* 15
Total lateral area ( as it has 3 lateral sides) = 3 * 1/2 * 14 * 15 = 315 cm^2

Total surface area = 315 * 1/2 * 14 * 15 = 420 cm^2

Hexagonal pyramid

Lateral area = 6 * area of each triangle = 6 * 1/2 *10 * 35 = 1050 cm^2

Total S A = 1050 + area of the hexagonal base = 1050 + 3 sqrt3 10^2 / 2
= 1050 + 259.8 = 1309.8 cm^2

Answer from: derrekdream123

L = 315 cm2 ; S = 399.9 cm2

Step-by-step explanation:

The lateral area of a regular pyramid with perimeter P and slant height l is L=12Pl.

The figure shows a regular triangular pyramid.

Substitute the known value of the base edge length s=14 cm into the formula for the perimeter of the regular triangle P=3s.

P=3(14)=42 cm

Therefore, P=42 cm.

Substitute the known values of the perimeter P=42 cm and the slant height l=15 cm into the formula for the lateral area if a regular pyramid L=12Pl.

L=12(42)(15)=315 cm2

Therefore, the lateral area of the pyramid is 315 cm2.

The surface area of a regular pyramid with lateral area L and base area B is S=L+B, or S=12Pl+B.

The base of the regular triangular pyramid is the equilateral triangle. The area of the triangle with the base b and the height h is B=12bh.

The figure shows an equilateral triangle. The side of the triangle is 14 centimeters long. The angle between the altitude and the side of the triangle measures 30 degrees. Angles between the sides of the triangle measure 60 degrees.

The height is determined by recognizing that it is the long leg of a 30°−60°−90° right triangle. So, the length of the height is 3√2 times the length of the side.

Thus, h=12·3‾√·14

Multiply.

h=73‾√ cm

Therefore, h=73‾√ cm.

Substitute the known values b=14 cm and h=73‾√ cm into the formula for the area of the triangle.

B=12(14)(73‾√)=493‾√ cm2

Therefore, B=493‾√ cm2.

To calculate the surface area of the pyramid, substitute the known values into the formula for surface area. Simplify. Round your answer to the nearest tenth.

S=315+493‾√≈399.9 cm2

Therefore, the surface area of the pyramid is about 399.9 cm2.

Answer from: Quest

i’m here for points.

Answer from: Quest

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Which conjunction is disjunction is equivalent to the given absolute value inequality? |x+2|< 18

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

Answers: 1

Answer

Mathematics, 21.06.2019 17:30

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Answers: 1

Answer

Mathematics, 21.06.2019 18:50

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling

Answers: 1

Answer

You know the right answer?

Me i don't know how to do this identify the lateral area and surface area of a regular triangular p...

Questions