1.
- Cone
2.
- Sphere
3.
- Cylinder
4.
- Pyramid
5.
- Prism
Solution:
1. 
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2. 
Volume of sphere = 
where r is the radius of the sphere.
3. 
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4. 
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5. 
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.
Answer:
Option C is correct.
Step-by-step explanation:
In an inverse variation, an increase in one quantity leads to a corresponding decrease in the other.
The product is constant throughout the table.
The product is 
and it shows inverse variation also.
Answer:
no
Step-by-step explanation:
80-225*1/3=80-75=5
Answer:
D. y = 5x + 29
Step-by-step explanation:
To write an equation of a line in slope-intercept form, we need to find the slope and the y-intercept.
The equation of a line is y=mx + b.
x and y are the coordinates of any point on a line.
m is the slope.
b is the y-intercept.
Lines are parallel to each other when they have the same slope. A line parallel to y = 5x + 2 would also have the slope 5.
m = 5
Since we have a point on the line, (-6, -1) and the slope, 5, there is only one missing variable, b, the y-intercept.
Substitute the known information into the equation and isolate b.
y = mx + b
-1 = 5(-6) + b <=Simplify by solving 5 X -6
-1 = -30 + b
-1 + 30 = -30 + 30 + b <= Add 30 to both sides to isolate b
29 = b
b = 29 <= Standard formatting puts the variable on the left side
Put the m and b values into the equation of a line to solve:
y = mx + b
y = 5x + 29
Answer:
b = 
Step-by-step explanation:
Given
k =
← multiply both sides by (v - b)
k(v - b) = brt ← distribute left side
kv - kb = brt ( subtract brt from both sides )
kv - kb - brt = 0 ( subtract kv from both sides )
- kb - brt = - kv ( multiply through by - 1 to clear the negatives )
kb + brt = kv ← factor out b from each term on the left
b(k + rt ) = kv ← divide both sides by (k + rt )
b = 