The volume of the right pyramid with the given properties is 80√3 cubic volume
<h3>How to determine the volume?</h3>
The given parameters are:
- Area of equilateral triangle = 4√3
- Height = 10Base length = 4 ft
Start by calculating the base area using:
Base area = 6 * Area of equilateral triangle
So, we have:
Base area = 6 * 4√3
Evaluate
Base area = 24√3
The volume of the pyramid is:
Volume = 1/3 * Base area * Height
So, we have:
Volume = 1/3 * 24√3 * 10
Evaluate
Volume = 80√3
Hence, the volume of the right pyramid is 80√3 cubic volume
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The 21 consonants are :
b c d f g h j k l m n p q r s t v w x y z
The 5 vowels are :
a e i o u
Now, to arrange the consonants there are 21! ways.
Now the vowels can be arranged in 22 ways because one vowel can be placed before 'b' and one after 'z' also.
It can be shown like this : (V represents vowels)
V b V c V d V f .......................
Therefor the ways to put vowels will be :
The complete order to place consonants without repeating vowels becomes:
Check the picture below.
make sure your calculator is in Degree mode.
Answer: 119°
Step-by-step explanation:
From the positive y-axis, all angles are measured clockwise
PR = PQ + QR = 5[150°] + 3[60°]
X = 5*sin150 + 3*sin60 = <u>5.1</u>
Y = 5*Cos150 + 3*Cos60 = <u>-2.83</u>
TanA = X/Y
A = -61° = 61° East of South = 119° Clockwise
Therefore, the bearing of R from P is 119°