Answer:
A. 6.32455 inch
B. 71.565°
C. 36.87°
Step-by-step explanation:
A. to find slant height we shall use Pythagoras theorem:
AC^2 = AB^2 + BC^2
AC^2 = 2^2 + 6^2
AC = 6.32455 inch ......... that's the slant height of the cone
B. here we have to find angle A, its where the line segment lies on the base
we use sin cos tan formula
opposite/ adjacent = tan (A)
A = tan^-1(6/2)
=71.565°
C. we have to find the angle where opposite both slant height meets, that's angle C.
as its a right angle triangle we can find half of C° = ( 180° - 90° - 71.565° ) =18.43494882°
So C angle shall be = 18.43494882° * 2
=36.87°
Answer:
To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles. For example, in the diagram to the left, the area of each triangle is equal to one-half the area of the parallelogram.
Step-by-step explanation:
The explicit formula of an arithmetic sequence:
We have:
Substitute:
Answer: an = 30n - 130
Simplifying
a + 4b = 5b + -3a
Reorder the terms:
a + 4b = -3a + 5b
Solving
a + 4b = -3a + 5b
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b
Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b
Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b
Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b
Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b
Combine like terms: 5b + -4b = 1b
4a = 1b
Divide each side by '4'.
a = 0.25b
Simplifying
a = 0.25b
