Find the length of the leg x Enter the exact value, not a decimal approximation
Find the length of the leg x Enter the exact - 1


Answer 1


x = √(189)

Step-by-step explanation:

Use pythagorean theorem to solve for x.


a^2 + b^2 = c^2


a = 6

b = x = ?

c = 15

Plug in the values into the equation

6^2 + x^2 = 15^2

36 + x^2 = 225

Subtract 36 from each side

x^2 = 225 - 36

x^2 = 189

Take the square root of both sides

x = √(189)

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A king company requires 20 hours of labor to produce a standard table, and a chair requires 12 hours of labor. The labor available is 565 hours per week. The company can produce at most 35 chairs per week.The goal is to find the region that shows the number of tables and chairs that the company can produce in a week, based on the given restrictions. The first step is to represent the situation with a system of inequalities. Let x be the number of tables and y be the number of chairs.Which system of inequalities best represents this situation?please help and thank you!!
Five less than twice a number results in fifteen
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $20,000 annually. The alternate hypothesis is that the mean is not $20,000. If the level of significance for this two-tailed test is 0.10, what is/are the critical value(s)

You have 1 quarts of brown stock.You need 1 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)



you can make 4 servings because 1 quart is 4 cups

2. Anne needs to know how much of her back yard will be used by her newcircular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.



see below

Step-by-step explanation:   6  13  8  09

area = π r²    is the equation to calculate the area of the pool   r = radius

I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter

diameter = 2×radius

diameter / 2 = radius

area = π (d/2)²   = T (d/2)²              d = diameter      π  = T      

        = 3.14(1.11 / 2)²              

        = 3.14 × (0.555)²

        = 0.9677 ft²    which seems like a small pool!

In rectangle KLMN, KM = 9x+26 and LN = 84.5. Find the value of x.



x = 6.5

Step-by-step explanation:

square is rectangle

9x+26 = 84.5

84.5 - 26 = 58.5

9x = 58.5

x = 58.5 divided by 9

x = 6.5

Each person plans to take 2 slices of pizza.mark concludes that he would get more pizza by taking 1 slice from each pizza.instead of 2 slices from the first pizza



No if you only get two slices, it doesn't matter which pizza you take it from you still only get 2 slices.

Step-by-step explanation:

Point R(4,-5) is reflected across the y-axisto point S. Point S is reflected across the x-
axis to point T. What are the coordinatesn
of point T?


too hard Step-by-step explanation:

What is five and seven hundred twenty-four thousandths in expanded


Iin expanded form, 5.724 is: 5 + 7/10 + 2/100 + 4/1000

How to write in expanded form

The number 5.724 can be written in expanded form as:

  • The digit "5" represents the whole number part.
  • The digit "7" after the decimal point represents 7 tenths, or 7/10.
  • The digit "2" after that represents 2 hundredths, or 2/100.
  • The digit "4" at the end represents 4 thousandths, or 4/1000.

5 + 7 * (1/10) + 2 * (1/100) + 4 * (1/1000)

So, in expanded form, 5.724 is:

5 + 7/10 + 2/100 + 4/1000

Read more on expanded form here



The way I would write it is: 700,000 + 20,000 + 4,000= 724,000

Step-by-step explanation: How I got that answer is that is how you write in expandad form.