answers
1) 70
2) 3,840
3) 24
4) 72
<u>Explanation</u>
Q1
The surface area of a cone is given by;
S.A = 2Πrl + Πr²
Where r is the radius of the base and l is the lateral height.
Πr² = area of the base = 20 in²
2Πrl = Area of the lateral surface
= 2.5 × 20
= 50
Area of the cone = 50 + 20
= 70 in²
Q2
The sides of the Pythagorean triangle with legs of 12 and 16.
The 3rd side will be;
c = √(12² + 16²)
= √400 = 20
Volume = 12 × 16 × 20
= 3,840
Q3
The volume of a cone is given by;
volume = 1/3 Π r² h
This shows that the volume of a cone is a third the volume of the cylinder.
∴ Volume of the cylinder = 12 × 3
= 24 ft³
Q4
The volume of any regular figure is;
Volume = base area × height
When the dimensions area usually 3. Let these dimensions be x, y and z.
∴ volume = x × y × z = 9
Doubling the dimensions;
Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9
= 8 × xyz = 8 × 9
= 72 ft²
Someone is writing the answer so ill just give you this tip for whenever.
A negitive times a negitive is positive
a negative times a positive is negitive
and a positive times a positive is positive (just had to add it to be complete)
Really true. just wanting points is not a reason to mess with someone else.
Answer:
The difference in slopes of 
is = 3
We can say slope of 
is positive and 3 more than slope of 
while slope of is negative.
Difference of y-intercepts of is = -7
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
Step-by-step explanation:
Given equation:
We need to find the difference of slopes and y-intercepts of the given equations.
The standard form of a slope intercept equation of line is given by:
where 
represents slope and 
represents y-intercept of line.
Writing the given equations in standard form to find slope and y-intercept.
Slope = 2 and y-intercept =-2
Slope = -1 and y-intercept =5
The difference in slopes of is = 
We can say slope of is positive and 3 more than slope of while slope of is negative.
Difference of y-intercepts of is = 
We can say the y-intercept of is positive and 7 units above while y-intercept of is negative.
