live4dramaoy0yf9
live4dramaoy0yf9 live4dramaoy0yf9
  • 02-05-2019
  • Mathematics
contestada

A right regular pentagonal prism has a base edge length 14 cm, and height 12 cm. Identify the volume of the prism to the nearest tenth. HELP PLEASE!!

Respuesta :

Paounn
Paounn Paounn
  • 02-05-2019

Answer:

4046.56 cm3

Step-by-step explanation:

The base is made by 5 isosceles triangles, with one side of 14 cm, and the opposite angle of [tex] \frac{360} 5 = 72° [/tex]. Each of the other angle is [tex]\frac{180-72} {2} =54°[/tex]. From there, you can calculate the height of each base triangle as in [tex]\frac {h} 7 = tan54[/tex] or 9.634...cm.

Your volume will be [tex]5 * \frac  {(14 * 9.634)} 2 * 12 = 4046.56 cm^3[/tex]

Answer Link

Otras preguntas

An aircraft flies from a point A to a point B, x km away on a bearing of 135°. From the point B,The aircraft flies to a point C, 2x km away on a bearing of 225°
8 sin4(θ) = cos(4θ) − 4 cos(2θ) + 3 Verify, assume that all quantities are defined
21 2f=9f what does f equal
A typical policyholder who has both a personal umbrella policy and underlying auto and homeowners policies
Solve for c. (1/4)c−2=64 Enter your answer in the box. c =
How many 1/2 cm cubes fit inside a prism
what is a iud????????????????
what time will it bein South Africa if it is 8p.m in Japan?​
using the concept of quadratic equations, solve the question below. Two positive numbers differ by 5 and the sum of the
Draw all the possible isomers of: a. square planar [Ni(gly)2] b. tetrahedral [Ni(gly)2] c. octahedral [Fe(gly)3]