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3 years ago

We need a rock garden with a perimeter of 12 feet and an area of 8 square feet

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

width 4

length 2

and it goes the other way aswell

Step-by-step explanation:

You might be interested in

What value of R makes r/ -11 = (-3) true

marissa [1.9K]

Answer:

The value of $r=33$ which makes the equation true.

Step-by-step explanation:

Given the equation

$\frac{r}{-11}=-3$

We have to find the value of r for which the equation must be true.

solving the equation

$\frac{r}{-11}=-3$

Multiply both sides by -11

$\frac{r\left(-11\right)}{-11}=\left(-3\right)\left(-11\right)$

$r=33$

Therefore, the value of $r=33$ which makes the equation true.

<u>VERIFICATION:</u>

Putting $r=33$ in the equation

$\frac{r}{-11}=-3$

$\frac{33}{-11}=-3$

$-3=-3$ ∵ $\frac{33}{-11}=-3$

L.H.S = R.H.S

Therefore, the value of $r=33$ which makes the equation true.

7 0

3 years ago

What is the length of the missing side

chubhunter [2.5K]

Answer:

a=8

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2 +15^2 = 17^2

a^2 +225 = 289

Subtract 225 from each side

a^2 +225-225=289-225

a^2 = 64

Take the square root of each side

sqrt(a^2) = sqrt(64)

a = 8

6 0

3 years ago

Read 2 more answers

Solve.

abruzzese [7]

Answer:

$x=\frac{15}{4}=3\frac{3}{4}$

Equation:

$\frac{2}{3}x+\frac{5}{6} =\frac{10}{3}$

<h3>Step-by-step solution</h3>

Linear equations with one unknown

_____________________________________

1. Group all constants on the right side of the equation

$\frac{2}{3}\cdot x+\frac{5}{6}=\frac{10}{3}$

Subtract $5/6$ from both sides:

$\frac{2}{3}x+\frac{5}{6}-\frac{5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x+\frac{5-5}{6}=\frac{10}{3}-\frac{5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x+\frac{0}{6}=\frac{10}{3}-\frac{5}{6}$

Reduce the zero numerator:

$\frac{2}{3}\cdot x+0=\frac{10}{3}-\frac{5}{6}$

Simplify the arithmetic:

$\frac{2}{3}\cdot x=\frac{10}{3}-\frac{5}{6}$

Find the lowest common denominator:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{3\cdot 2}+\frac{-5}{6}$

Multiply the denominators:

$\frac{2}{3}\cdot x=\frac{10\cdot 2}{6}+\frac{-5}{6}$

Multiply the numerators:

$\frac{2}{3}\cdot x=\frac{20}{6}+\frac{-5}{6}$

Combine the fractions:

$\frac{2}{3}\cdot x=\frac{20-5}{6}$

Combine the numerators:

$\frac{2}{3}\cdot x=\frac{15}{6}$

Find the greatest common factor of the numerator and denominator:

$\frac{2}{3}\cdot x=\frac{5\cdot 3}{2\cdot 3}$

Factor out and cancel the greatest common factor:

$\frac{2}{3}\cdot x=\frac{5}{2}$

2. Isolate the x

$\frac{2}{3}\cdot x=\frac{5}{2}$

Multiply both sides by inverse fraction 3/2:

$\frac{2}{3}x\cdot \frac{3}{2}=\frac{5}{2}\cdot \frac{3}{2}$

Group like terms:

$\frac{2}{3}\cdot \frac{3}{2}x=\frac{5}{2}\cdot \frac{3}{2}$

Simplify the fraction:

$x=\frac{5}{2}\cdot \frac{3}{2}$

Multiply the fractions:

$x=\frac{5\cdot 3}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{2\cdot 2}$

Simplify the arithmetic:

$x=\frac{15}{4}$

______________________

Why learn this

Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?

Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.

__________________________

Terms and topics

Linear equations with one unknown

4 0

2 years ago

True or false the product of a positive integer and a negative integer is positive

inessss [21]

Answer:

Yes

Step-by-step explanation:

Example::

10*10 = 100 is a positive number

-10*-10 =100 is a positive number since -*- is +

4 0

3 years ago

What time is 3 1/3 hours after 11:45 pm?

levacccp [35]

Answer:

3:05

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers