The question is missing the figure. So, it is attached below.
Answer:
Area of the shaded sector is <u>144π units squared</u>.
Step-by-step explanation:
Given:
Central angle of the sector is, 
Radius of the circle is, 
We know that, area of a sector of a circle of radius 'R' and central angle
is given as:

Plug in
. This gives,

Therefore, the area of the shaded sector is 144π units squared.
The greatest common factor of 4k, 18k4 and 12 is
4
Finding the GCF of monomials requires inspection of the terms and looking for common factors that would be able to reduce the terms to whole numbers and variables with positive exponents.
Answer:
Paula get
and Kawai get
.
Step-by-step explanation:
Given: Paula and Kawai shared
in the ratio of
.
To find: How much money did each person get?
Solution:
We have,
Paula and Kawai shared
in the ratio of
.
So, let Paula get
and Kawai get
.
As per the question,



Therefore, Paula get
, and Kawai get
.
Hence, Paula get
and Kawai get
.
Answer:
79.2 tons
Step-by-step explanation:
What must be done is to apply a proportion rule, taking into account what happened in the registry and what is wanted for this new year. In the following way we can calculate the amount of tons of oranges.
Powder concentrate Oranges
45 tons -------------------------> 54 Tons
66 tons -------------------------> X Tons
X = 66 * 54/45
X = 79.2, that is to say that 79.2 tons are necessary to produce 66 tons of powder concentrate to make juice.