A lodge at a state park has 49 rooms. Up to five people may stay in each room. What is the maximum number of people who can stay
2 answers:
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Answer:
x = 9
Step-by-step explanation:
when two lines intersect, it creates four angles. vertical angles are the angles that are opposite to each other. in the attached image, 1 & 3 are vertical angle pairs, and so are 2 & 4.
since vertical angles are always congruent, 3x - 8 is equal to 2x + 1
3x - 8 = 2x + 1
add 8 to each side
3x = 2x + 9
subtract 2x from each side
x = 9
check your answer:
3x - 8 = 2x + 1
3(9) - 8 = 2(9) + 1
27 - 8 = 18 + 1
19 = 19
A the slope of the line is 1
to calculate the slope m , use the ' gradient formula '
m = ( y₂ - y₁ ) /( x₂ - x₁ )
where (x₁, y₁ ) = 6, 3) and (x₂, y₂ ) = (9, 6)
m = =
= 1
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
The given parameter is:
The volume of a cylinder is calculated as:
Make h the subject
The surface area (A) of a cylinder is:
Substitute
Differentiate
Set to 0
Rewrite as:
Multiply through by r^2
Solve for r
So, we have:
Hence, the relationship between the volume and the surface area is:
Read more about surface areas and volumes at: