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Ilya [14]
3 years ago
11

Lucy’s rectangular garden is 15ft long and 12 ft wide. She adds a right triangle to her garden plan, so that the triangle’s heig

ht extends out 7ft in line with the shorter side of the rectangle, and the base of the triangle runs from the corner of the rectangle to the center of the longer side of the rectangle. Total area of Lucy’s garden:

Mathematics
1 answer:
KIM [24]3 years ago
4 0
Okay, so lets break this down.

First of all, we have the rectangular garden with a length of 15ft and a width of 12feet.  We need to find the area of this which is pretty simple.  This would be 15ft times 12ft which is 180ft².

Okay, now time for the triangle.  The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).

But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long.  Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.

Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15).  Then, the height is 7ft as included in the question.

Now to solve the area of a right triangle, you can use 1/2(bh).  So 1/2 of the base times height.

This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².

Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²

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10 + 3x < 4 or 2x + 5 > 11 in interval notation​
Stella [2.4K]

Answer:

( − ∞ , ∞ ) hope i help

Step-by-step explanation:

First, solve each inequality. I'll solve the first one first.

7 ≥ 2 x − 5

12 ≥ 2 x

6 ≥ x

Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:

( − ∞ , 6 ]

The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could  

x

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Let's try the second example:

3 x − 2 4 > 4

3 x − 2 > 16    3 x > 18 x > 6

Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:

( 6 , ∞ )  

The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).

Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either  x  is on the interval  ( − ∞ , 6 ] or the interval  ( 6 , ∞ )

. In other words,  x

is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that  

x

could be any real number, since no matter what number  

x

is, it will fall in one of these intervals. The interval "all real numbers" is written like this:

( − ∞ , ∞ )

6 0
3 years ago
Order from least to greatest 2.34,2 3/4,9/4.
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Its not in order its 2.34,9/4,2 3/4
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The swimming pool is leaking 1.75 gallons of water/ hr.

Hope this helps~
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LMNO is a parallelogram. If NM = x + 33 and OL = 4x + 9, find the value of x and then find NM and OL.
anyanavicka [17]
Because these are on opposite sides of the parallelogram, x + 33 = 4x + 9.

This gives you x = 8; OL = 41, NM = 41. 
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3 years ago
What is (0.54)⋅(3.8)=
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Answer:

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Step-by-step explanation:

I hope it helped lot sj

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