A) <span>Scale factor of the smaller pyramid to the larger pyramid in simplest form:
</span>6 m / 12 m = 1/2
b) <span>Ratio of the areas of the bases of the smaller pyramid to the larger pyramid:
</span><span>(1/2)^2 = 1/4 </span>
c) <span>Ratio of the volume of the smaller pyramid to the larger:
</span><span>(1/2)^3 = 1/8 </span>
d) <span>Volume of the smaller pyramid:
</span>(1/8) * 400 m^3 = 50 m^3
Answer:
decrease by 5
Step-by-step explanation:
n= 10
then in sequence,
n= n-5
roulette consists in placing a small ball in a roulette wheel, Probability (Roulette ball not landing on red) = 10 / 19
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes
Given:
Number of total slots = 38
Number of red slots = 18
Number of black slots = 18
Number of green slots = 2
Find:
Probability (Roulette ball not landing on red)
Computation:
Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)
Probability (Roulette ball not landing on red) = 1 - (18 / 38)
Probability (Roulette ball not landing on red) = 20 / 38
Probability (Roulette ball not landing on red) = 10 / 19
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Answer:
10+c=3
Step-by-step explanation:
to solve this you would then subtract 10 from both sides, to get c by itself.
3-10= -7
Your answer would be -7 and the equation would be 10+c=3.
Answer:
The equation of the parabola is , whose real vertex is , not .
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
, ,
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is: , , . Hence, the equation of the parabola is . Lastly, we must check if belongs to the function. If we know that , then the value of is:
does not belong to the function, the real point is .