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lesantik [10]
4 years ago
8

Write the ratio in simplest form for area of pool/ area of yard

Mathematics
1 answer:
charle [14.2K]4 years ago
5 0

Answer:

Option (C)

Step-by-step explanation:

From the map attached,

Area of the rectangular yard = length × width

Length of the yard = 10 units

Width of the yard = 8 units

Area = 10 × 8

        = 80 square yards

Since, pool is a composite figure of two rectangles,

Therefore, area of the pool = Area of large segment + Area of the small pool

= (5 × 6) + (3 × 3)

= 30 + 9

= 39 square units

Ratio of Area of the pool and area of yard = \frac{39}{80}

Therefore, Option (C) will be the answer.  

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What add's up to 5 and multiplies to -36
Masteriza [31]
X, y - the numbers

The numbers add up to 5 and multiply to -36.
x+y=5 \\
xy=-36 \\ \\
y=5-x \\
xy=-36 \\ \\
\hbox{substitute 5-x for y in the second equation:} \\
x(5-x)=-36 \\
5x-x^2=-36 \\
-x^2+5x+36=0 \\
-x^2-4x+9x+36=0 \\
-x(x+4)+9(x+4)=0 \\
(-x+9)(x+4)=0 \\
-x+9=0 \ \lor \ x+4=0 \\
x=9 \ \lor \ x=-4 \\ \\
y=5-x \\
y=5-9 \ \lor \ y=5-(-4) \\
y=-4 \ \lor \ y=9 \\ \\
(x,y)=(9,-4) \hbox{ or } (x,y)=(-4,9)

The numbers are -4 and 9.
4 0
4 years ago
DO IT YES GOOOOD! END HIM ANAKIN
Luda [366]
The answer is A) 28
Set up a proportion based on the triangle side lengths. I chose to put the smaller ones over the bigger ones: 
\frac{6}{42} =  \frac{32-x}{x}
Then cross multiply to get 1344-42x = 6x
Add 42x to both sides to isolate the x changing the equation to 13444 = 48x
Divide both sides by 48 to get x = 28
5 0
3 years ago
Read 2 more answers
Two quantities are related, as shown in the table:
morpeh [17]
Calculate the slope:
m = y2-y1 / x2-x1
m = 4-3 / 4-2
m = 1/2

Now, y-y1 = m(x- x1)
y - 3 = 1/2(x - 2)
y - 3 = 1/2x - 1
y = 1/2x + 2

In short, Your Answer would be: Option A

Hope this helps!
3 0
3 years ago
Rewrite the equation by completing the square 2x^2-20x=x^2-19
sergeinik [125]

Answer:

x = -1, 19

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u>  </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Factoring
  • Multiple Roots
  • Completing the Square: -b/(2a)

Step-by-step explanation:

<u>Step 1: Define</u>

2x² - 20x = x² - 19

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract x² on both sides:                     x² - 20x = -19
  2. Complete the Square [Addition Property of Equality]:                                 x² - 20x + 100 = -19 + 100
  3. [Complete the Square] Simplify:                                                                    (x - 10)² = 81
  4. [Equality Property] Square root both sides:                                                  x - 10 = ±9
  5. [Addition Property of Equality] Add 10 on both sides:                                 x = 10 ± 9
  6. Evaluate:                                                                                                          x = -1, 19
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3 years ago
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The function d(s) = –5s – 15 models the depth, in feet, of a rock that Dante dropped into a lake s seconds after he lost sight o
Ne4ueva [31]

Answer:

The x-intercept will tell you how many seconds have passed before Dante lost sight of the rock.

Step-by-step explanation:

The problem specifies that the function d(s) will model the depth in feet of a rock that Dante dropped into a lake s seconds after he lost sight of the rock.

In this case we are using an s instead of the x, so the x-intercept will represent a given time. We can find the x-intercept by setting the function equal to zero, like this:

-5s-15=0

when solving for s we get:

-5s=15

s=-\frac{15}{5}

s=-3

This means that Dante dropped the ball into a lake 3 seconds before he lost sight of the rock. This is what the negative stands for, some time in the past.

So the x-intercept tells us the time it took for Dante to lost sight of the rock.

8 0
3 years ago
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