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ohaa [14]
3 years ago
12

I NEED TO QUICKLY PLS HELP ME PPLLSSSSS

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Angle COD is 60 degrees

angle BOC is 80 degrees

Because angle DOE is vertically opposite to angle boa, it is also 40 degrees. we know that angle DOF is 120, so angle FOE is 120-40 = 80 degree, and angle BOC is vertically opposite do <em>it </em>is 80 degrees.

since angle COD lies on a straight line it adds up to 180 degrees, so 180- 120 = 60 degrees

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60 minutes it 20% of blank minutes
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a rectangular dog kennel is to be constructed alongside a house with 60m of fencing. If the house serves as one side of the kenn
Basile [38]

Answer:

450\text{ m}^2.

Step-by-step explanation:

Let x represent side of kennel opposite to house and y represent other sides.

We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.

Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:

x+y+y=60

x+2y=60

Let us solve for x.

x+2y-2y=60-2y

x=60-2y

The area of the kennel would be product of its sides that is:

\text{Area}=x\cdot y

Now, we will substitute x=60-2y in area equation as:

A(y)=(60-2y)\cdot y

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Let us find the derivative as shown below:

A'(y)=60-4y

Now, we will set derivative equal to 0 and solve for y.

60-4y=0

60=4y

\frac{60}{4}=\frac{4y}{4}

y=15

Upon substituting y=15 in area function, we will greatest possible area.

A(y)=60y-2y^2

A(15)=60(15)-2(15)^2

A(15)=900-2(225)

A(15)=900-450

A(y)=450

Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.

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