Answer:
105
Step-by-step explanation:
theres 3 feet in a yard
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:
y = -
x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 3x - y = 9 into this form by subtracting 3x from both sides
- y = - 3x + 9 ( divide all terms by - 1 )
y = 3x - 9 ← in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = -
x + c ← is the partial equation
To find c substitute (6, 6) into the partial equation
6 = - 2 + c ⇒ c = 6 + 2 = 8
y = -
x + 8 ← equation of perpendicular line
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Any of the tens i think (10=60, 20+50, etc.), but i am not too sure what is implied by regrouping. if i am right in thinking this only means "carrying" a digit after adding, then anything that adds up to 70 would work unless the sum of the digits in the ones place exceeded 9.