The circle has a radius of 11 cm. What is the area of the shaded sector? Use 3.14 for π, and round your answer to the nearest te
nth.
What is the approximate area of the shaded sector?
23.0 cm2
126.7 cm2
253.3 cm2
379.9 cm2
What is the approximate area of the shaded sector?
23.0 cm2
126.7 cm2
253.3 cm2
379.9 cm2
1 answer:
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Answer:
Step-by-step explanation:
step 1
Find the surface area of the smaller rectangular prism
where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
step 2
Find the surface area of the cube
where
s is the length side of the cube
step 3
Find the lateral area of the cylinder
where
D is the diameter of the base
L is the length of cylinder
step 4
Find the area of the base of cylinder
we have
----> the radius is half the diameter
step 5
Find the surface are of the composite figure
we know that
The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder
so
Answer:
= { (4,1) , (3,2) , (2,3) , (1,4) }
Step-by-step explanation:
Let's start writing the sample space for this experiment :
{ (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }
Let's also define the event ⇒
: '' The sum of the two dice is 5 ''
We can describe the event by listing all the favorables cases from ⇒
= { (4,1) , (3,2) , (2,3) , (1,4) }
In order to calculate we are going to divide all the cases favorables to
over the total cases from
. We can do this because all 36 of these possible outcomes from
are equally likely. ⇒
⇒
Finally we are going to define the event ⇒
: '' The number of the first die is exactly 1 more than the number on the second die ''
⇒
= { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }
Now given two events A and B ⇒
P ( A ∩ B ) =
We define the conditional probability as
with
We need to find therefore we can apply the conditional probability equation :
(I)
We calculate at the beginning of the question. We only need
.
Looking at the sets and
we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒
Replacing both probabilities calculated in (I) :
We find out that
Answer and Step-by-step explanation:
The actual answer is 348.
4 rectangles with area 60 each, which, when added together, equals 240.
1 square with area 36.
Each triangle face is 18 each, so 72.
<u>Add those together and the answer is 348 </u><u> :).</u>
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<u><em>#teamtrees #PAW (Plant And Water)</em></u>