Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle. This can be obtained by finding each shaded area and then adding them.
<h3>Find the expression for the area of the shaded regions:</h3>
From the question we can say that the Hexagon has three shapes inside it,
Also it is given that,
An equilateral triangle is shown inside a square inside a regular pentagon inside a regular hexagon.
From this we know that equilateral triangle is the smallest, then square, then regular pentagon and then a regular hexagon.
A pentagon is shown inside a regular hexagon.
- Area of first shaded region = Area of the hexagon - Area of pentagon
An equilateral triangle is shown inside a square.
- Area of second shaded region = Area of the square - Area of equilateral triangle
The expression for total shaded region would be written as,
Shaded area = Area of first shaded region + Area of second shaded region
Hence,
⇒ Shaded area = area of the hexagon – area of the pentagon + area of the square – area of the equilateral triangle.
Learn more about area of a shape here:
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Part A: 16x=M
Part B: 16x+TY=M
Part C: 16x=580
/16 /16
x=36.25
Mary worked 36 hours and 25 minutes
Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
<u>or</u>
m∠8 = 180 - 94 = 86
<u>m∠3 ≈ m∠7</u> (corresponding angles)
Consider the top half of a sphere centered at the origin with radius
, which can be described by the equation
and consider a plane
with
. Call the region between the two surfaces
. The volume of
is given by the triple integral
Converting to polar coordinates will help make this computation easier. Set
Now, the volume can be computed with the integral
You should get
Answer:
First break apart 923 into 900+20+3 then do 9 times 900,9 times 20 and 9 times 3. Then add all the products together to get your answer.
Step-by-step explanation:
