Volume of Solid = Volume of Cylinder + Volume of Cone
Volume of Cylinder = πr²h
v= 3.14 * (3)² * 6
v = 169.56
Volume of Cone = πr² h/3
v = 3.14 * (3)² * 4/3
v = 37.7
Now, V = 169.56 + 37.7 = 207.26 cm³
Hope this helps!
A pyramid or triangular prism is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the vertex.
<u>Explanation:</u>
- These triangular sides are sometimes called the lateral faces to distinguish them from the base.
- It is a polyhedron that has a base, which can be any polygon, and three or more triangular faces that meet at a point called the vertex.
- The base of the triangular prism is in the shape of a quadrilateral and the lateral face is in the shape of a triangle.
Answer:
y = 8x -25
Step-by-step explanation:
The two-point form of the equation of a line can be used.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (7-(-1))/(4-3)(x -3) +(-1)
y = 8(x -3) -1
y = 8x -25 . . . . slope-intercept form of the equation
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We don't know what you're starting with, so we don't know how to "complete the equation." Perhaps the above equation is sufficient for the task.
Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
