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mestny [16]
2 years ago
10

Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone

lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?
Mathematics
1 answer:
Fudgin [204]2 years ago
5 0

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

<h3>What is a rectangle?</h3>

A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.

The length of the diagonal (x) can be determined using Pythagoras, hence:

x² = 15² + 8²

x = 17 feet

The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.

Find out more on rectangle at: brainly.com/question/25292087

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3 years ago
Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

8 0
3 years ago
Factor the following: x2−16x+64
boyakko [2]

Answer:

why wont u just go to quizlet for the answer of look it up on calculator soup it is a great place for those kinds of answers

Step-by-step explanation:

3 0
3 years ago
What value should take the place of 18
rodikova [14]

Answer:

  1. the value should be twns and ones

Step-by-step explanation:

1 8=tens 8(1 ones)

3 0
3 years ago
what’s the answer and work for this??? SOMEONE PLEASEEEE TELLLLL MEEEE!!!!!
Cloud [144]

Answer:

ten scores in order: (Hint: These are in order)

81

81

  1. 82
  2. 84
  3. 85
  4. 86
  5. 89
  6. 93
  7. 94
  8. 95
  9. sum = 870
  10. mean = 870/10 = 87
  11. median 85.5 (5 above, 5 under)
  12. mode = 81 (there are two of them)

Hope this helped you solve the problem :)

Remember to type this correctly!

Found this on a website: jiskha.com/questions/1060894/the-test-score-for-a-math-class-are-shown-below-81-84-82-93-81-85-95-89-86-94-what-are

P.S Bad at Math.

Step-by-step explanation:

Skills needed: Addition Multiplication Division Data Sets

When you get a big set of data there are all sorts of ways to mathematically describe the data. The term "average" is used a lot with data sets. Mean, median, and mode are all types of averages. Together with range, they help describe the data. Definitions: Mean - When people say "average" they usually are talking about the mean. You can figure out the mean by adding up all the numbers in the data and then dividing by the number of numbers. For example, if you have 12 numbers, you add them up and divide by 12. This would give you the mean of the data. Median - The median is the middle number of the data set. It is exactly like it sounds. To figure out the median you put all the numbers in order (highest to lowest or lowest to highest) and then pick the middle number. If there is an odd number of data points, then you will have just one middle number. If there is an even number of data points, then you need to pick the two middle numbers, add them together, and divide by two. That number will be your median. Mode - The mode is the number that appears the most. There are a few tricks to remember about mode: If there are two numbers that appear most often (and the same number of times) then the data has two modes. This is called bimodal. If there are more than 2 then the data would be called multi-modal. If all the numbers appear the same number of times, then the data set has no modes. They all start with the letter M, so it can be hard to remember which is which sometimes. Here are some tricks to help you remember: Mean - Mean is the average. It's also the meanest because it take the most math to figure it out. Median - Median is the middle. They both have a "d" in them. Mode - Mode is the most. They both start with "mo". Range - Range is the difference between the lowest number and the highest number. Take, for example, math test scores. Let's say your best score all year was a 100 and your worst was a 75. Then the rest of the scores don't matter for range. The range is 100-75=25. The range is 25.

7 0
3 years ago
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