Answer:
1055.04
Step-by-step explanation:
Cylinder
h = 16 cm
r = 5 cm
Volume = ?
Formula
V=pi * r^2 * h
Solution
V = pi r^2*h
V = 3.14 * 5*5*16
V = 1256 cm^3
Cone
h = 12 cm
r = 4 cm
Formula
V = (1/3) pi r * r * h
Solution
V = (1/3) 3.14 * 4 * 4 * 12
V = (1/3) 602.88
V = 200.96
Answer
Volume of unoccupied region = Cylinder - Cone
Volume of unoccupied region = 1256 - 200.96
Volume of unoccupied region = 1055.04
You will have to round it to the number of digits required.
Answer:
y - 4 = -(x - h)^2
Step-by-step explanation:
We begin with the stock function y = x^2. Its graph is a parabola with vertex at (0, 0) and opening up. The more general vertex form of the graph is
y - k = a(x - h)^2, where the point (h, k) is the vertex and 'a' determines the direction of opening as well as by how much the parabola is stretched vertically.
In this problem the vertex is (6, 4); that is, the vertex is shifted to the right by 6 units and upward from there by 4 units. The coefficient 'a' is -1, indicating that the graph opens downward.
So we have the equation y - 4 = -(x - h)^2. Without more information we cannot tell whether the graph is stretched vertically or not.
Answer:
see explanation
Step-by-step explanation:
(a)
1.2² = 1.2 × 1.2 = 1.44
(b)
2³ + 17 - 3 × 4 ← evaluate exponent and multiplication before adding/subtracting
= 8 + 17 - 12 = 25 - 12 = 13
(c)
9² ÷ 3³ ← evaluate exponents before dividing
= 81 ÷ 27 = 3
The area of a triangle is (base*height)/2
Therefore: 12*10=120/2=60. Since there are three triangles then you multiply 60 by three. 60*3=180
Since the triangle in the middle is equilateral the height is 10. (10*10)/2=50
180+50=230
The answer is 230 inches²
The answer is -2 to your 8th grade algebra question hope it is right
