Given:
The volume of a prism with equilateral triangular cross-section is 270cm³.
Length of the prism = 
cm
To find:
The length of the side of the equilateral triangular cross-section.
Solution:
Formulae used:
Area of an equilateral triangle is
Where a is the side length of equilateral triangle.
Volume of prism is
Where, B is base area and h is the height of the triangular prism.
Cross section of the prism is an equilateral triangular so the base area of the prism is 
sq. cm.
The volume of the prism is
Divide both sides by 7.5.
It takes only positive value because the side cannot be negative.
Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.
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Answer:
c because it is slower than 2 gallons per minute it is 1 gallon per 2 minutes. hope this helps:)
Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to
where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values
step 2
Verify each case
case A) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair Q not lie on the circle
case B)
substitute the value of 
in the equation of the circle and then compare the results
------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of 
in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of in the equation of the circle and then compare the results
------> is not true
therefore
the ordered pair T not lie on the circle
Answer:
9
Step-by-step explanation:
1, 3, 5, 9, 15, 19, 19
