Slant height of tetrahedron is=6.53cm
Volume of the tetrahedron is=60.35
Given:
Length of each edge a=8cm
To find:
Slant height and volume of the tetrahedron
<u>Step by Step Explanation:
</u>
Solution;
Formula for calculating slant height is given as
Slant height=
Where a= length of each edge
Slant height=
=
==6.53cm
Similarly formula used for calculating volume is given as
Volume of the tetrahedron=
Substitute the value of a in above equation we get
Volume=
=
=
Volume==60.35
Result:
Thus the slant height and volume of tetrahedron are 6.53cm and 60.35
An absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.
<h3>What are inequalities?</h3>
Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The median weight for a 5 foot tall male to enlist in the US Army is 114.5 lbs. This weight can vary by 17.5 lbs. Therefore, the inequality can be written as,
(114.5 - 17.5) lbs < x < (114.5 + 17.5) lbs
97 lbs < x < 132 lbs
Hence, an absolute value inequality that represents the weight of a 5-foot male who would not meet the minimum or maximum weight requirement allowed to enlist in the Army is 97 lbs < x < 132 lbs.
Learn more about Inequality:
brainly.com/question/19491153
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Answer:
3
Step-by-step explanation:
(2x +1)/8 - (x-1)/3 = 5/24
multiple the 2x+1/8 by 3 and multiple (x-1)/3 by 8 then add them up
6x+3/24 - 8x-8/24 ➡ 6x-8x+11/24 = 5/24
➡ -2x+11 = 5
➡ -2x = 5-11
➡ x = 3
Easy the answer is B: 17 and one-third