Hello!
The volume of the square pyramid is approximately 
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V = 
First, we must find the area of the square base.
A = l * w
A = 3.5 * 3.5
A = 12.25 km^2
The area of the base is 12.25 km^2. Now, multiply the base area by the perpendicular height. Then divide by 3.
V = (12.25 * 4.7) / 3
V = 19.1916666667
V ≈ 19.19 km^3
Answer:
No it is not a good prediction. Theoretical probability says that the answer would be 30 of the 60 (30/60) rolls would be even numbers.
Step-by-step explanation:
The probability of rolling an even number on a fair six sided die is 3/6 or 1/2 when simplified.
if john rolls the die 60 times, multiply the theoretical probability (1/2) by the number of rolls
(1 ÷ 2) x 60 = 30
∴ theoretical probability says that john would roll an even number 30 out of the 60 rolls
I hope this was helpful :-)
Answer:
A and C
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
So <7 and <9 are adjacent to <8.
[If there's any mistake, please inform me]
Answer:
114°
Step-by-step explanation:
The exterior angle is the sum of the remote interior angles.
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<h3>setup</h3>
(11x +15)° = 60° +6x°
<h3>solution</h3>
5x = 45 . . . . . . . . . divide by °, subtract 15+6x
x = 9 . . . . . . . . . . divide by 5
The measure of exterior angle KMN is ...
m∠KMN = (11(9) +15)° = 114°
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<em>Additional comment</em>
Both the sum of interior angles and the sum of angles of a linear pair are 180°. If M represents the interior angle at vertex M, then we have ...
60° +6x° +M = 180°
(11x +15)° +M = 180°
Equating these expressions for 180° and subtracting M gives the relation we used above:
(11x +15)° +M = 60° +6x° +M . . . . . equate the two expressions for 180°
(11x +15)° = 60° +6x° . . . . . . . . . . . subtract M
This is also described by "supplements to the same angle are equal."
