Answer:
6825 in
Step-by-step explanation:
Since the shape is a composite figure, we need to break it up into 2 shapes!
Rectangle and a triangular prism
Solving for Rectangle...
Volume = Length · Width · Height
Volume = 30 · 13 · 13
Volume = 5070 in
Solving for Triangular Prism
Volume = Length · Width · Height / 2
Volume = 30 · 9 · 13 / 2
Volume = 3510/2
Volume = 1755 in
Finally, add the volumes!
5070 + 1755 = 6825 in
Answer:
6 hours
Step-by-step explanation:
8 hours x 2 cranes = 16 hours of total work
After one broke
7 hours x 1 crane = 7 hours of total work
16 + 7 = 23 hours
It would take 23 hours for one crane to do the whole job.
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Answer is b
Step-by-step explanation: