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3 years ago

15

PLEASE HELP!!! Find the length of side x in simplest radical form with a rational denominator.

1 answer:

Kobotan [32]3 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{x}{7}=\frac{1}{\sqrt{3}}\\ \\ x=\frac{7}{\sqrt{3}}\\ \\ x=\frac{7\sqrt{3}}{3}$

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A table has an area of 12 ft squared and a perimeter of 16 ft. What are the dimensions of the table?

Likurg_2 [28]

P=2x+2y, y=(p-2x)/2

a=xy, using y found above in this equation gives you:

a=(px-2x^2)/2 we are told a=12 and p=16 so

12=(16x-2x^2)/2

24=16x-2x^2

2x^2-16x+24=0

2x^2-12x-4x+24=0

2x(x-6)-4(x-6)=0

(2x-4)(x-6)=0

2(x-2)(x-6)=0

So the table is 2 ft by 6 ft.

7 0

3 years ago

Read 2 more answers

Find the distance between the two points rounding to the nearest tenth (if necessary).

Genrish500 [490]

Answer:

13 units

Step-by-step explanation:

(-1,5) and (4, -7)

To find the distance of two points, we use the distance formula:

$d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }$

Let's plug in what we know.

$d = \sqrt{(4 - (-1))^2 + (-7 - 5)^2 }$

Evaluate the double negative.

$d = \sqrt{(4 +1))^2 + (-7 - 5)^2 }$

Evaluate the parentheses.

$d = \sqrt{(5)^2 + (-12)^2 }$

Evaluate the exponents.

$d = \sqrt{(25) + (144) }$

Add.

$d = \sqrt{(169) }$

Evaluate the square root.

$d = 13$

13 units

Hope this helps!

4 0

3 years ago

Read 2 more answers

Adante begins to evaluate the expression 3 1/3 * 5 1/4

goldenfox [79]

For this case we must find the product of two mixed numbers:

$3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}$

So, we have:

$\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}$

If we go to a mixed number we have:

$\frac {35} {2} = 17 \frac {1} {2}$

Answer:

$17 \frac {1} {2}$

4 0

3 years ago

If a boy has 4 pairs of shorts, 8 shirts, and 2 pairs of shoes, how many different outfits could he wear?

sveta [45]

Answer:

64

Step-by-step explanation:

I paired the first shirt with all of the pants and both shoes which was 8 outfits, but here are 8 other shirts which will also make 8 outfits.

4 0

3 years ago

What is the value of x (x+2)(x-3)=0

wolverine [178]

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

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

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

8 0

3 years ago