Answer:
The effect of doubling all the dimensions of a triangular pyramid will have on the volume of the pyramid is to increase it by 8 times.
Step-by-step explanation:
i) volume of triangular pyramid =
Area
height
=
(Base of triangle
perpendicular height of triangle)
height
ii) if we double all the dimensions then the three variables((Base of triangle, perpendicular height of triangle, height of pyramid) will be doubled
and the volume of the new pyramid will be 8 times that of the original one.
Answer:
Total amount of fencing needed as an algebraic expression in terms of x is: <em>10x</em><em> </em><em>+</em><em> </em><em>3</em> .
Step-by-step explanation:
As it is given that each rectangle has the same dimensions, the dimensions of each rectangle must be: x units by 2x + 1 units.
Based on this, we can calculate the total amount of fencing needed.
Let width of each rectangle = x
Let length of each rectangle = 2x + 1
There are 4 widths and 3 lengths in total of fencing.
Therefore:
= 4 ( x ) + 3 ( 2x + 1 )
Expand:
= 4x + 6x + 3
Group like-terms:
= 10x + 3
Answer: 13095238095/100000000000
Step-by-step explanation: To write 0.13095238095 as a fraction you have to write 0.13095238095 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
0.13095238095 = 0.13095238095/1 = 1.3095238095/10 = 13.095238095/100 = 130.95238095/1000 = 1309.5238095/10000 = 13095.238095/100000 = 130952.38095/1000000 = 1309523.8095/10000000 = 13095238.095/100000000 = 130952380.95/1000000000 = 1309523809.5/10000000000 = 13095238095/100000000000
The probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.
<h3>What is Probability?</h3>
Probability helps us to know the chances of an event occurring.

There are a total of 36 outputs possible, while the number of desired outputs marked in the blue box is 4, therefore, the probability is,
Probability = 4/36 = 1/9
Hence, the probability that Edgar rolls a 2 on the first cube and a number less than 5 on the second cube is 1/9. Thus, the correct option is C.
Learn more about Probability:
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Answer:
The slope can 1/2 or 0.5
Step-by-step explanation: