Answer:
The correct quotient is 3.
I think Derek has mistaken to divide
by
.
Step-by-step explanation:
We have to check the quotient of
.
Part A:
Now,
.
=
So, the correct quotient is 3.
Part B:
Derek says that the quotient is
.
So, I think Derek has mistaken to divide
by
. (Answer)
Answer:
value of sides YZ is 36 cm
Step-by-step explanation:
Similar triangles states that the length of the corresponding sides are in proportion.
Given that: ΔABC is similar to ΔXYZ
then;
Corresponding sides are in proportion i.e
.....[1]
As per the statement:
side AB = 6 cm, side BC =18 cm and side XY = 12 cm.
Substitute these in [1] to solve for side YZ;

or

By cross multiply we have;
cm
Therefore, the value of sides YZ is 36 cm
Recall the binomial theorem.

1. The binomial expansion of
is

Observe that


When we multiply these by
,
•
and
combine to make 
•
and
combine to make 
and the sum of these terms is

2. The binomial expansion is

We get the
term when
:

Answer:
b
Step-by-step explanation:
the volume (V) of a cone is calculated as
V =
πr²h ( r is the radius , h is the height )
here diameter = 12 , so r = 12 ÷ 2 = 6 and h = 22 , then
V =
π × 6² × 22
=
π × 36 × 22
=
π × 792 ( cancel 3 and 792 by 3 )
= π × 264
≈ 829.4 m³ ( to the nearest tenth )
Answer:
666 2/3 gallons per minute
Step-by-step explanation:
1 valve: 40,000 wps
60 seconds in 1 minute,
40,000 / 60 = 666 2/3