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3 years ago

9

A circular flower bed is 24 m in diameter and has a circular sidewalk around it that is 2 m wide. Find the area of the sidewalk

in the square meters.

1 answer:

Doss [256]3 years ago

5 0

The area of the sidewalk is 144.44 m².

The 2-m wide walk adds 4 m to the diameter, making it 21+4=25.

Since the radius is half the diameter, r = 25/2 = 12.5.

The area of the entire bed with walkway is 3.14(12.5)² = 490.625 m².

The diameter of the bed is 21, so the radius is 21/2 = 10.5.
The area of just the flower bed is 3.14(10.5)² = 346.185.

The difference between the two is 490.625-346.185 = 144.44 m². This is the area of the walkway.

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

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$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

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so, we get

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we are given that

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so, we can find all possible factors

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so, we can find k

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we can plug values

$k=-1-15$

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$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

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$k=a+b$

we can plug values

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3 years ago

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koban [17]

Answer:

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Step-by-step explanation:

We can first find y by doing 12y+5 = 18y-7 since vertical angles are always congruent.

We want to combine like terms so we subtract 12y from both sides (what you do on one side needs to be done to the other) and we get 5 = 6y-7 and now we add 7 to both sides to get 12 = 6y.

Like I said we did this because we combine like terms!!!

Now we want to isolate the y and we do this by dividing 6 from both sides which lets us get 2 = y

Now that we know what y is we can plug it into any of the equations using y.

I plugged it into the top right equation cause it was easier.

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Now that we know that we can begin solving for x.

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We can prove this is right by inserting x into it's expression. That tells us the angle is 151. Now we add 151+151+29+29 and we get 360!

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