What is the difference in elevation between High Point (673 feet above sea level) and Low point (80 feet below sea level)?

Answer:

The correct answer is 238.95 square inches

Step-by-step explanation:

Regular Pentagon : A quadrilateral having five sides each of equal length is called regular pentagon.

Side length of pentagon, a = 11.8 inches

Hence, The correct answer is 238.95 square inches as it is approximately equal to 239 square inches.

Answer:

The answer is 477.9

Step-by-step explanation:

What you're going to do is base x height. Then your going to multiply you're answer to that by how many sides there are. so for this it going to be: 8.1 x 11.8 = 95.58. 95.58 x 5 = 477.9

Hope this helps!

Have an amazing day!

~Lola

Option c) x² + 11x - 1 = 0 is the correct quadratic equation that can be used to determine the thickness of the frame.

In this problem, Emily wants to hang a painting in a gallery, and she needs to determine the thickness of the frame, denoted by "x," surrounding the painting. The painting and frame together should have an area of 31 square feet. The dimensions of the painting are given as 5 feet in width and 6 feet in length. To find the equation that will help us determine the thickness of the frame, we need to set up a quadratic equation based on the given information.

Let's start by visualizing the problem. The painting is a rectangle, and the frame around it will also form a rectangle. So, we can find the area of the frame by subtracting the area of the painting from the total area of the painting and the frame.

The area of a rectangle can be calculated by multiplying its length and width. For the painting, we have:

Painting's area  = Length * Width

                          = 6 feet * 5 feet

                          = 30 square feet

Now, we know that the total area of the painting and frame together is 31 square feet. So, we can set up the following equation:

Total area (painting + frame) = Painting's area + Frame's area

31 square feet = 30 square feet + Frame's area

Frame's area = 31 square feet - 30 square feet = 1 square foot

The frame's area is given by the product of its width (which is the thickness "x") and the length of the painting (6 feet):

Frame's area = x * 6 feet

Since the frame's area is equal to 1 square foot, we can write:

x * 6 = 1

Now, let's rearrange the equation to set it to zero on one side:

6x - 1 = 0

We have now derived the quadratic equation that represents the problem:

6x - 1 = 0

The correct answer is not directly provided among the options. However, let's manipulate the equation to put it in standard quadratic form (ax² + bx + c = 0):

Multiply the equation by -1 to change the sign of each term:

-6x + 1 = 0

Now, it matches option c) x² + 11x - 1 = 0.

Thus, option c) is the correct quadratic equation that can be used to determine the thickness of the frame, "x," for the given problem.

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The correct answer is 4x2 + 22x − 1 = 0  

That's what you get when you (5 + 2x)(6 + 2x) = 31

And you get to expand that based on the data that is already provided in the question.

Answer:

41, 43, 47, 53, 59

Step-by-step explanation:

Prime numbers are numbers that can be divided only by 1 and itself.i.e. it has only two factors. 1 is not a prime number as it has only one factor. The Prime numbers between 40 and 60 are 41, 43, 47, 53, 59.

The two-story home numbers are 41, 43, 47, 53, 59.

To convert 79 oz into grams, we need to begin with a conversion factor for ounces and grams.

1 ounce = 28.4 grams

Next, notice that we are going from a larger unit "ounces" to a smaller unit "grams." When we go from a larger unit to a smaller unit, we multiply.

79 oz × 28.4 ← Conversion factor

2243.6

Therefore, 5 oz = 2243.6 grams

2243.6 rounds to 2,440 grams

Complete question :

A store advertises a 20​% markdown on a dishwasher with a selling price of ​$952. Find the sale price. This is the greatest possible markdown that the store can discount the dishwasher without losing money. What does this tell you about the​ cost?

Answer:

$761.60

Step-by-step explanation:

Given that :

Sales price = $952

Markdown % = 20%

Sales price = (100 - 20)% * $952

Sales price = 80% * $952

Sales price = $761.60

If 20% is the greatest possible markdown the store can give without losing money, then the price at which the store purchased the dishwasher is $761.60

The expressionrepresents the number of hours Mrs. Nakos worked during the last week of school. When expression evaluated, it equals 6 hours. So, Mrs. Nakos worked 6 hours that week.

To find the number of hours Mrs. Nakos worked during the last week of school, you can evaluate the expression step by step:

1. Start by evaluating the expression inside the parentheses:

2. Now, you have the expression To calculate this, multiply 12 by
since dividing by 2 is the same as multiplying by

So, Mrs. Nakos worked 6 hours during the last week of school.

The expression represents the number of hours worked, and when evaluated, it equals 6 hours. Therefore, Mrs. Nakos worked 6 hours that week.

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