Answer:Since the volume of a cylinder formula involves the radius, you can solve for the radius and double it to find the diameter.
Write the formula. Volume=π⋅radius2⋅height.
Substitute the dimensions of the shape into the formula. Use 3.14 as the value for π. 791.28=3.14⋅r2⋅28.
Solve the equation for the variable.
Step-by-step explanation:
Mx(ab-b) without distributive property
mxab-mxb with distributive property
Answer:
1020 students
Step-by-step explanation:
Given the trend line equation :
y = 0.1x + 18,
where y is the total number of staff members and x is the total number of students.
Using the equation, the predicted number of students in a school with 120 staffs ;
y = 120
y = 0.1x + 18
120 = 0.1x + 18
120 - 18 = 0.1x
102 = 0.1x
x = 102 / 0.1
= 1020 students
Part A:
From the figure shown.
The measure of line TH = 14' 72" = 14' + 72" / 12 = 14' + 6' = 20'
Given that the measure of line HI = 20'
Thus, triangle THI is an isosceles triangle with line TI as the base.
Part B:
To find the base angles we use the Pythagoras theorem.
Recall that the perpendicuar bisector of an isosceles triangle divides the triangle into two equal right triangles.
Dividing the base into two gives 22.5' / 2 = 11.25'
Thus, the perpendicular bisector divides the isosceles triangle into two equal right triangles with base of 11.25' and hypothenus of 20'.
By pythagoras theorem,

Therefore, the base angles is 55.77 degrees.
Answer:
The slope of the perpendicular line to the line is
m = 
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
<u><em>Step(ii):- </em></u>
The slope of the perpendicular line = 
The slope of the perpendicular line = 