The intercepts of the given equations is as given in the task content is; Choice B; (15,0,0),(0,10,0) ,(0,0,5).
<h3>What are the intercepts of the equation as give in the task content?</h3>
The x-intercept of the given equation can be determined by setting values of y and z to zero.
The y-intercept can be determined by setting x and z to zero.
While the z-intercept can be determined by setting x and y to zero.
Consequently, the X-intercept of the given equations is; 2x +3(0) = 30; x = 15.
Therefore, we have; (15,0,0)
The y-intercept is therefore; 2(0) +3y = 30; 3y = 30; y = 30/3 = 10 and. we have; (0,15,0)
And hence, the z-intercept is; z = 30/6 = 5.
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Answer:
Option A 
Step-by-step explanation:
The volume of a cone is:

The volume of a cylinder is:

Both figures have the same height h and the same radius r.
The volume of the cylinder
We want to find the volume of the cone.
Then, we find r and h:

We simplify.

Then the product of
.
We substitute this in the cone formula and get:

The angle is a complementary angle so both angles add up to 90 degrees
Therefore set your equation equal to 90 to find angle of x
53+x=90
Subtract 53 from both sides
X= 37 degrees
Step-by-step explanation:
the total surface area is the sum of the individual areas.
we have the ground area : a 6×6 square. = 36 cm²
and we have 4 equal triangles.
the area of a triangle is baseline × height / 2.
which is for each of these triangles
6 × 12 / 2 = 3 × 12 = 36 cm²
so, the total surface area of the pyramid is
36 + 4×36 = 5×36 = 180 cm²
The formula that explain the arithmetic sequence is 
Step-by-step explanation:
The formula of the nth term in an arithmetic sequence is
, where
- a is the first term
- d is the common difference between the consecutive terms
∵
,
, 0 ,
are some terms of an arithmetic sequence
∵ The difference between two consecutive terms =
- 
∴ The difference between two consecutive terms =
+
= 
∴ The common difference = 
∴ d = 
∵ The first term is 
∴ a = 
- Substitute a and d in the formula above
∴ 
- Simplify the right hand side
∴ 
- Add like terms
∴ 
The formula that explain the arithmetic sequence is 
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