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sashaice [31]
3 years ago
11

Find the dimensions of a rectangular building with a perimeter of 110 meters if the length is four

Mathematics
1 answer:
tiny-mole [99]3 years ago
3 0

Answer:

b = 11 m

l = 44 m

Step-by-step explanation:

l = 4b (length is four times width)

Perimeter = 110 m

2 * ( l + b ) = 110

2 * (4b + b ) = 110

         2 * 5b = 110

                b = 110 / ( 2*5) = 11

b = 11 m

l = 4b = 4 * 11 = 44 m    

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#16 i
Vlad1618 [11]

The tuition is an illustration of a linear function.

The cost of tuition and fees in the academic year 2023-2024, is $12260

Let the number of academic years after 2014-2015 academic year be x.

So, we have:

\mathbf{(x,y) \to (0,9200)(5,10900)}

A linear function is represented as:

\mathbf{y = mx + b}

Where m represents the slope (i.e. constant rate), and b represents the y-intercept (i.e. the value of y when x = 0)

So, we have:

\mathbf{10900 = 5m + 9200}

Subtract 9200 from both sides

\mathbf{1700 = 5m}

Divide both sides by 5

\mathbf{340 = m}

So, we have:

\mathbf{m =340 }

The function becomes

\mathbf{y = mx + b}

\mathbf{y = 340x + 9200}

In the academic year 2023-2024, x = 9.

So, we have:

\mathbf{y = 340x + 9200}

\mathbf{y = 340 \times 9 + 9200}

\mathbf{y = 3060 + 9200}

\mathbf{y = 12260}

Hence, the cost of tuition and fees is $12260

Read more about linear functions a:

brainly.com/question/21107621

4 0
3 years ago
6(x-5) = 5(x+5)
Mariana [72]

Part 1:

6(x-5) = 5(x+5) (x = 55)

4y + 2 (-3 + 2y) = 1-y (x = 7/9)

Part 2:

4(a-6) = 8a - (4a-24) (No Solution)

4(2x-8) = 8(x-8) (No Solution)

2(3x-3) = -6x-6 (Identity (x = 0))


4 0
3 years ago
Find the exact length of the arc s in the figure. (Assume r = 3 and θ = 106°.)
NemiM [27]
Circumference = 2Pi(r) = 6Pi

angle of arc s = 360 - 106 = 254 degree

Arc length = 6Pi ( 254 ) / 360 = 4.2Pi

Pi = 3.14

8 0
3 years ago
I need help with finding interior/exterior angles. solve for “?”
Ivenika [448]

Answer:

3. 160

4. 105

5. 95

6. 30

7. 86

8. 130

All triangles equal 180 so when you add the other 2 degrees in the triangle then subtract that by 180 then you get the third angle. The a straight line also equals 180 degrees so when you get the third angle subtract it by 180 then you get the answer to the "?"

That's how I was taught so, hope I got it all right! : )

8 0
3 years ago
Read 2 more answers
BRAINLIEST TO WHOEVER HELPS IM DESPERATE PLZ :). Winston is creating a rectangular piece of 8-bit art using squares that are x p
Furkat [3]

Answer:  a(x) = x^2 + 40 x + 384

Step-by-step explanation:

Since, here the length of the rectangle is represented by the function l(x) = x + 24,

While the breadth of the rectangle is represented by the function w(x) = x + 16.

And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.

a(x) = l(x) × w(x)

a(x) = (x + 24) × (x + 16)

a(x) = x^2 + 24 x + 16 x + 24\times 16

a(x) = x^2 + 40 x + 384


4 0
3 years ago
Read 2 more answers
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