1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AleksandrR [38]
3 years ago
14

Mandy is building a rectangular garden pond with the area on 12ft^2. The length of the pool needs to be 2ft more than twice that

width. What are the dimensions of the pool
Mathematics
1 answer:
Marat540 [252]3 years ago
3 0

Answer: the length is 6 feet. The width is 2 feet

Step-by-step explanation:

The garden pool is rectangular in shape.

Let L represent the length of the rectangular garden.

Let W represent the width of the rectangular garden.

The area of a rectangle is expressed as L× W. The area of the rectangular garden pond is 12ft^2. It means that

L× W = 12 - - - - - - - - - - 1

The length of the pool needs to be 2ft more than twice that width. This means that

L = 2W + 2 - - - - - - - - - - - 2

Substituting equation 2 into equation 1, it becomes

W(2W + 2) = 12

2W^2 + 2W = 12

2W^2 + 2W - 12 = 0

W^2 + W - 6 = 0

W^2 + 3W - 2W - 6 = 0

W(W + 3) - 2(W + 3) = 0

W - 2 = 0 or W + 3 = 0

W = 2 or W = - 3

Since the Width cannot be negative, then the width is 2 feet

Substituting W = 2 into equation 2. It becomes

L = 2×2 + 2 = 6 feet

You might be interested in
50 POINTS
ludmilkaskok [199]
The area of the composite figure can be calculate

120 pi x 5.1 1922.6547
1922.6547 divided by 7.4 =259.8182
259.8182 + 3.2 = 263.0182
6 0
2 years ago
Order of expression and simplify expressions
KiRa [710]

Answer:uidelines called the order of operations, which outlines the order in which parts of an expression must be simplified.

ORDER OF OPERATIONS

When simplifying mathematical expressions perform the operations in the following order:

1. Parentheses and other Grouping Symbols

Simplify all expressions inside the parentheses or other grouping symbols, working on the innermost parentheses first.

2. Exponents

Simplify all expressions with exponents.

3. Multiplication and Division

Perform all multiplication and division in order from left to right. These operations have equal priority.

4. Addition and Subtraction

Perform all addition and subtraction in order from left to right. These operations have equal priority

Step-by-step explanation:

3 0
3 years ago
What divided by 2 minus 5 equals 12
Serga [27]

Answer:34

Step-by-step explanation:

12+5=17.

17 times 2 equals 34

Do the opposite of what it asked. Work backward time get answer

7 0
3 years ago
Read 2 more answers
Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.
WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

Tangent(x) = Opp/Adj

Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

tan 30 = 60/x

5 0
3 years ago
Please help me!!!!!!!
Helen [10]
First we will find the value of x.

To find the value of x we can add angle Q and angle O and set them equal to 180 and solve for x.

We will be setting them equal to 180 since the opposite angles of an inscribed quadrilateral are supplementary.

angle Q + angle O = 180
6x - 5 + x + 17 = 180
7x +12 = 180
7x = 168
x = 24

Now we can use 24 for x and find the value of angle QRO

angle QRO = 2x + 19
angle QRO = 2(24) + 19
angle QRO = 48 + 19
angle QRO = 67

So the answer choice B is the right answer.

Hope this helps :)<span />
6 0
3 years ago
Other questions:
  • A medical team sent surveys to randomly selected households to determine the various health problems. The result of the survey i
    10·2 answers
  • 61. If one angle of a parallelogram measures 32, what are the measures of the remaining three
    11·1 answer
  • How do you graph a negative slope when it’s in slope intercept form
    13·1 answer
  • Lisa wants to frame her little brothers drawing as a gift to her mother's a rectangular drawing is 43.5 centimeters by 934 milli
    14·2 answers
  • What is the answer for 15b+13c-12b+10c+8=
    8·1 answer
  • If (-6,-38) and (5,28) are two anchor points on the trend line, then find the equation of the line
    9·1 answer
  • A rectangular swimming pool measures 50 meters in length and 25 meters in width. Using a scale of 1 centimeter represents 5 mete
    13·1 answer
  • A rocket is launched from a tower. the height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
    6·1 answer
  • Find the measure of the indicated aces and angles
    12·1 answer
  • There are 5,280feet in a mile. Factoid of the day: The longest wedding veil was 63.5 football fields. About how many miles is th
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!