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
artcher [175]
3 years ago
10

a garden pond is in the shape of a rectangle that measures 5 m by 3 m. a stone path is built all around the pond. this path is t

he same width all the way around. the area of the pond and the path together is 39 m². how wide is the path?​
Mathematics
1 answer:
Inessa [10]3 years ago
4 0

Answer:

<u>1.16 m (approximately)</u>

Step-by-step explanation:

Let x be the width of the path.

Total area  = (5+2x)(3+2x) = 39

Expand and simplify

4x²+ 16x+15-39 = 0

4x² + 16x - 24 = 0

Simplify

x² + 4x -6 = 0

Rational factoring does not work, so use quadratic formula

x = +/- sqrt(10) -2

= 1.16 or -5.16 (reject)

= <u>1.16 m (approximately)</u>

You might be interested in
On the following number line, two rational numbers are graphed.Represent the two numbers as fractions (or mixed numbers) in lowe
nordsb [41]
The first graphed rational number is at the middle of -2 and -1, thus the number represented is -1 \frac{1}{2}

The second graphed number is five out of six places from from 0 to 1, thus the number graphed is 0+ \frac{5}{6} = \frac{5}{6}

The difference between the two numbers can be represented as
-1 \frac{1}{2} - \frac{5}{6}
or
\frac{5}{6} -(-1 \frac{1}{2} )= \frac{5}{6} +1 \frac{1}{2}

To find the difference,

-1 \frac{1}{2} - \frac{5}{6} \\ \\ =-1 \frac{3+5}{6}  \\  \\ =-1 \frac{8}{6} =-2 \frac{2}{6}  \\  \\ =-2 \frac{1}{3}

Also,

\frac{5}{6} +1 \frac{1}{2} \\  \\ =1 \frac{5+3}{6}  \\  \\ =1 \frac{8}{6} =2 \frac{2}{6}  \\  \\ =2 \frac{1}{6}
4 0
4 years ago
What is your favorite big cat??? And what is 20 + 1???? i need help
RideAnS [48]

Answer:serval cats and 21

Step-by-step explanation:

4 0
3 years ago
Can someone help me with this question?
Crazy boy [7]

Answer:

m<S' = 115

Step-by-step explanation:

A translation is when one shifts the image over on a coordinate plane. A translation doesn't affect the image itself. Hence m<S is the same as m<S'. Therefore m<S' = 115

4 0
3 years ago
Read 2 more answers
Help me with 4-9pleasw
stira [4]

Answer:

4. d= =  -0.5

9.  b= -2.2


8 0
3 years ago
Help me with this pls!!! You need to fill in the blanks with the words given above 99 Points!
sweet-ann [11.9K]

A simulation is a mathematical model used to represent a situation.

  • A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.

When we combine two or more simple events we have a compound event

  • "Compound" means to combine, like a compound word would be a combination of two words

A Tree Diagram is a diagram that shows all the possible outcomes of an event

  • In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.

All the possible outcomes or results is called the sample space

  • The outcomes are each different samples, and a sample space is a space that collects each of these samples

When an event is not affected by a previous outcome we have an independent event

  • This event is "independent", not affected by other factors, making it an independent event

Let me know if you need any clarifications, thanks!

~ Padoru

8 0
3 years ago
Other questions:
  • A parking garage allows users to park the first hour free and then charges $2.50 for each additional hour or fraction of an hour
    7·2 answers
  • Does anyone know the answer to this?
    13·1 answer
  • Select the equation of the line parallel to 2x + 6y = -4 the equation and that passes through the point (3, -3) .
    9·1 answer
  • Duc works for a salary of $2,200 per month. His computed hourly rate of pay is $13.75 per hour. Although Duc earns a salary, he
    9·2 answers
  • SOMEONE DO THE WORK FOR 13 ITS DUE IN 3 MINUETS
    10·1 answer
  • In​ randomized, double-blind clinical trials of a new​ vaccine, were randomly divided into two groups. Subjects in group 1 recei
    10·1 answer
  • I need help did I get this right?
    11·2 answers
  • Thomas and his sister Lauren are competing in a running race. When Thomas is 0.7 miles from the finish line, he notices that his
    9·1 answer
  • Can u help me on this pl
    12·1 answer
  • Translate the sentence into an equation,
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!