What is the distance around a triangle that has measuring 2 1/8 feet,3 1/2 feet, 2 1/2 feet

klasskru [66]

Answer:

x = -1 ± √109

Step-by-step explanation:

2x • 3x + (2 • 3)x + 6x = 648

According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.

(2 • 3) = 6

Now we have:

2x • 3x + (6)x + 6x = 648

Now let's multiply.

2x • 3x = 6x²

6 • x = 6x

Now we have.

6x² + 6x + 6x = 648

Combine like terms.

6x² + 12x = 648

Let's factor out a 6.

6(x² + 2x) = 648

Divide both sides by 6.

x² + 2x = 108

Let's use completing the square.

Our equation is in a² + bx = c form.

Divide b by 2.

2/2 = 1

Then square it.

1² = 1

Add 1 to both sides.

x² + 2x + 1 = 108 + 1

Simplify.

x² + 2x + 1 = 109

Now we want to factor the left side. A shortcut is just to use b/2.

(x + 1)² = 109

Take the square root of both sides.

x + 1 = ±√109

The square root is as simplified as possible.

Subtract 1 from both sides.

x = -1 ± √109

Hope this helps!

4 0

3 years ago

Read 2 more answers

Norman and Suzanne own 34 shares of a fast food restaurant stock and 70 shares of a toy company stock. At the close of the marke

puteri [66]

1488=34F+70T
F=T+30
this is the system of equations heeded o solve this problem. because we are given that both stocks together are equal to $1488. we are also told that here are 34 share of the fast food stock. and there are 70 shares of the toy stock. each share has an unknown value. this is where i get the. 34F and 70T. we are told that one fast food share (F) is equal to $30 more than the toy share (T) so f=t+30.
solve he system of equations. they give you the value of f is t+30. so plug that into the original equation (1488=34F+70T) in placeof F so the new equation is 1488=34(T+30)+70T
combine like terms and solve for T. plug the value of T into the original equation and solve for F. check your work by plugging both of your answers (answer for F and answer for T) into the original equation.

6 0

3 years ago

Explain how to find a common denominator of 3/4 and 1/5 what is a common denominator of 3/4 and 1/5 show how you can rename 3/4

Paul [167]

Answer:

Common denominator = 20

New fractions are: $\dfrac{15}{20}\ and\ \dfrac{4}{20}$

Step-by-step explanation:

Given:

The fractions are given as:

$\dfrac{3}{4}\ and\ \dfrac{1}{5}$

The denominators of the first fraction is 4 and that of the second fraction is 5.

In order to find the common denominator for 4 and 5, we have to find the least common multiple of each of the numbers.

Multiples of 4 = 4, 8, 12, 16, 20, 24, 28,....

Multiples of 5 = 5, 10, 15, 20, 25, 30,....

Therefore, the least common multiple of 4 and 5 is 20. So, the common denominator is 20.

Now, multiply the numerator and denominator of each fraction by the same suitable number such that the denominator becomes 20.

So, for the first fraction, 4 is in the denominator.

So, 4 when multiplied by 5 gives 20.

So, we multiply the numerator and denominator of first fraction by 5. This gives,

$\dfrac{3}{4}=\dfrac{3\times 5}{4\times 5}=\dfrac{15}{20}$

Now, for the second fraction, 5 is in the denominator.

So, 5 when multiplied by 4 gives 20.

So, we multiply the numerator and denominator of first fraction by 4. This gives,

$\dfrac{1}{5}=\dfrac{1\times 4}{5\times 4}=\dfrac{4}{20}$

Therefore, the new fractions after making the denominators same are:

$\dfrac{15}{20}\ and\ \dfrac{4}{20}$

4 0

3 years ago

Find the area of the circle

vlada-n [284]

Answer:

A = 1.77 ft^2

Step-by-step explanation:

The circle has a diameter of 1.5 ft

We need the radius

r = d/2 = 1.5/2 = .75 ft

The area of a circle is

A = pi r^2

A = 3.14 ( .75)^2 = 1.76625

To the nearest hundredth

A = 1.77 ft^2

3 0

3 years ago

Edward is driving a car on the highway. He drives for 28.5 miles in 3/8 of an hour. At this rate, how much distance can he cover

Rom4ik [11]

The distance covered in one hour is 76 miles.

Step-by-step explanation:

Edward drives a car for 28.5 miles.

Therefore, the distance he travels by the car = 28.5 miles.

The time it takes to drive 28.5 miles is 3/8 of an hour.

The formula to find the rate :

Rate = Distance traveled / Time taken in hours.

Here, the distance is 28.5 miles and time is 3/8 hour.

Rate = $28.5/ (3/8)$

To find the distance covered in 1 hour :

Let us assume, 'x' be the distance covered in one hour.

Rate = $x/1$

Now, comparing the rates to find the x value :

⇒ $28.5 / (3/8) = x /1$

⇒ $x = 28.5 \times 8/3$

⇒ $x = 228/3$

⇒ $x = 76$

Therefore, the distance covered in one hour is 76 miles.

4 0

3 years ago