Answer:
A. 16.8 in³
B. 28.3 m³
C. 65.4 in³
Step-by-step explanation:
The volume of a cone is given as:
V = ⅓ * pi * r² * h
Where r = radius of base of cone
h = height of cone
A. Radius = 2 inches, height = 4 inches
It's volume is:
V = ⅓ * pi * 2² * 4
V = 16.8 in³
B. Diameter of 6 m, and a height of 3 m
It's diameter is 6 m, therefore, it's radius is:
r = d / 2 = 6 / 2 = 3 m
It's volume is:
V = ⅓ * pi * 3² * 3
V = 28.3 m³
C. Diameter of 5 in, and a height of 10 in
It's diameter is 5 in, therefore, it's radius is:
r = d / 2 = 5 / 2 = 2.5 m
It's volume is:
V = ⅓ * pi * 2.5² * 10
V = 65.4 in³
Answer: 
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
Where "m" is the slope of the line and "b" is the y-intercept.
Find the slope with this formula:
Given the points (-10,-7) (3,-7), substitute values into the formula. Then:
Substitute the slope and any point into and solve for "b":
Then, substituting "m" and "b" into the equation , you get that the equation of this line is:
Answer:
No, it isn't.
Step-by-step explanation:
The correct statement would be K + 8 = 19 <<<<<<<<\
11 + 8 equals 19 not greater than 19.
Answer:
The correct answer is c.
Step-by-step explanation:
x represents the number of the data variable that is being studied and from this data we obtain P, that is, the proportion
P is the proportion that is equal to x / n that is, x is equal to 6.41 that when divided by 458 which is equal to n and multiplied by 100 gives a proportion of 1.4%
P= 6.41÷458×100=1.4%
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
