10m^3-m^2-6m+9 is the answer
Answer:
D 26 batches
Step-by-step explanation:
for each cup of cranberries, 4 batches of scones can be made
6 1/2 * 4 = 24 + 2 = 26
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
The statement that <A > <C and <B > <D has been proved
<h3>How to prove that <A > <C and <B > <D?</h3>
In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
- Side length AB
- Side length BC
- Side length AD
- Side length CD
The angles opposite the side lengths are:
- Angle D
- Angle B
- Angle C
- Angle A
This means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
Read more about mathematical proofs at:
brainly.com/question/1788884
#SPJ1
