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sweet [91]
4 years ago
13

A garden has the form of a right triangle. One leg of the triangle is formed by a 2400​-ft long sea wall. The hypotenuse of the

triangle is 1600 ft longer than the other leg. What are the dimensions of the​ garden?
Mathematics
1 answer:
stepladder [879]4 years ago
4 0

Answer:

  • given leg: 2400 ft
  • other leg: 1000 ft
  • hypotenuse: 2600 ft

Step-by-step explanation:

The Pythagorean theorem tells a relation between the leg lengths and the hypotenuse. If x represents the unknown leg length, then we have ...

  x^2 + 2400^2 = (x +1600)^2

  x^2 +5760000 = x^2 +3200x +2560000 . . . . eliminate parentheses

  3200000 = 3200x . . . . . . . . . subtract x^2+2560000

  1000 = x . . . . . . . . . . . . . . divide by 3200

The other leg length of the garden is 1000 ft. The garden is a triangle with side lengths 1000 ft, 2400 ft, 2600 ft.

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Write 0.46 as a fraction in simplest form.<br> 0.46=
Inga [223]
The answer is 23 over 50 or 23/50 what ever you can understand better hope it help
8 0
3 years ago
Read 2 more answers
What are the explicit equation and domain for an arithmetic sequence with a first term of 8 and a second term of 5?
boyakko [2]

Answer:

Option C.

Step-by-step explanation:

It is given that the first term of the arithmetic sequence is 8 and second term is 5.

a=8

d=5-8=-3

We know that the explicit equation of an AP is

a_n=a+(n-1)d, where n is an integer greater than or equal to 1.

where, a is first term and d is common difference.

a_n=8+(n-1)(-3)

a_n=8-3(n-1)

So, domain of this explicit equation is all integers where n ≥ 1.

Therefore, the correct option is C.

4 0
4 years ago
Fill in the blank 43_ _ _54
Oksana_A [137]

Answer:

The answer is add 4.

Step-by-step explanation:

I know this because if you add 4 to 43 that's 47 so that's 1 of the blanks. Add another 4 that's 51. that's another 1. and that's last one is add 4 which makes 54.

Hope this helps.

6 0
3 years ago
In a grouped frequency distribution one interval is listed as 50-54. Assuming that the scores are measuring a continuous variabl
aliina [53]

Answer:

a. 49.5 and 54.5

Step-by-step explanation:

Class interval is a range of a value that is used to group data into equal size for easy analysis and representation of the data. It is applicable in the divisions of a histogram or bar chart into classes.  Examples of class interval are 50-54, 55-59, 60-64, 65-69, 70-74 etc.

Class limit is the minimum and maximum value the class interval may contain. The minimum value is called the lower class limit and the maximum value is called the upper class limit. For class interval 50-54, the lower class limit is 50 and the upper class limit is 54.

Class boundaries are the numbers used to separate classes. It is the real limits of a class. For non-overlapping classes, the lower class boundary of each class is calculated by subtracting 0.5 from the lower class limit. The upper class boundary of each class is calculated by adding 0.5 to the upper class limit. Example: For class interval 50-54, the lower class boundary is 49.5 and the upper class class boundary is 54.5

Considering the question given, to get the real limits of the interval 50-54, 0.5 is subtracted from the lower class limit to give 49.5. Also, 0.5 is added to the upper class limit to give 54.5.

4 0
4 years ago
Someone please help me quick!
Inessa [10]
Can you explain the question in words please?
5 0
3 years ago
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