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kati45 [8]
3 years ago
5

MODELING REAL LIFE A green roof is like a traditional roof but covered with plants. Plants used for a green roof cost $0.75 per

square foot. The roof shown is 40 feet long. How much does it cost to cover both sides of the roof?
Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

$1200

Step-by-step explanation:

Let the roof be square shaped

Area of the roof = L²

L is the side length of the roof

Given

L = 40ft

Area of the roof = 40²

Area of the roof = 1600ft²

If plants used for a green roof cost $0.75 per square foot, this means

1 ft² = $0.75

Let the cost needed to cover both sides of the roof be y, hence;

1600ft² = y

Divide both expressions

1/1600 = 0.75/y

y × 1 = 0.75×1600.

y = 0.75×1600

y = 1200

Hence it will cost $1200 to cover both sides of the roof

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Distance between (-6, -2) and (0,-1)
s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36        (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1           (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1              

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0
3 years ago
-1.398 = 2.2 + n/-5.53<br> Does this look good so far? <br> -1398 = 2200 + n/5530 - 2200
insens350 [35]

Answer:

  n = 19.89694

Step-by-step explanation:

You can work the problem using decimal numbers. There is no need to convert everything to integers. Trying to do so just gets you in trouble.

Subtract 2.2 from both sides:

  -1.398 -2.200 = n/-5.53

  -3.598 = n/-5.53

Now, multiply both sides by -5.53:

  (-5.53)(-3.598) = n = 19.89694

_____

The one rule that cannot be violated in algebra is that <em>you must do the same thing to both sides of the equation</em>.

_____

Your "solution" so far has a couple of errors. The first is that you have apparently multiplied all of the numbers by 1000. Unfortunately, when you multiply a denominator by 1000, it is the same as dividing by 1000. So, you have multiplied the left side by 1000, multiplied one term on the right by 1000 and divided another term on the right by 1000. This turns the equation into something different than what you started with, and will give a wrong answer.

The second error is that you have subtracted 2200 only from the right side. This, too, will turn the equation into something different than what you started with, and will give a wrong answer.

7 0
4 years ago
The diagram below shows an Isosceles triangle. Label the base angles and the vertex
Dmitry [639]

The base angles of an isosceles triangle are equal

The base angles are 15 degrees, while the vertex angle is 150 degrees

The base angles are given as:

Base = (6a- 3) and (a + 12)

So, we have:

\mathbf{6a -3 =a + 12}

Collect like terms

\mathbf{6a -a =3 + 12}

\mathbf{5a = 15}

Divide both sides by 5

\mathbf{a = 3}

Substitute 3 for a in Base = (6a- 3),

\mathbf{Base = 6 \times 3 - 3}

\mathbf{Base = 18 - 3}\\

\mathbf{Base = 15}

So, the base angle is 15 degrees.

The vertex angle is calculated using:

\mathbf{Vertex=180 -2 \times Base}

So, we have:

\mathbf{Vertex=180 -2 \times 15}

\mathbf{Vertex=150 }

Hence, the vertex angle is 150 degrees

Read more about isosceles triangles at:

brainly.com/question/25739654

6 0
2 years ago
3x^5+6x^3<br><br> PRIME<br> b<br> 3x^4(3x + 2)<br> 3(x^5 + x^3)<br> d<br> 3x^3(x^2 + 2x)
Gelneren [198K]

Answer:

Im guessing 33(2+2)

8 0
3 years ago
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
pychu [463]

Answer: Trapezoid

Step-by-step explanation:

Trapezoids are parollelograms, that’s all

6 0
3 years ago
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