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Rom4ik [11]
3 years ago
7

Describe the interval shown using an inequality, set notation, and interval notation. (Picture attached!) Thank you!

Mathematics
1 answer:
marta [7]3 years ago
5 0

Answer:

inequality: x > -3

Set notation: {x: x> -3}

Interval notation: [-3, ∞)

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The length of the base of a rectangle is 6 less than 3 times the width. The perimeter of the rectangle is 52 inches. What is the
vivado [14]

Answer:

The rectangle has a width of 18 inches and a height length of 8 inches.

Step-by-step explanation:

The perimeter of a rectangle is described by the equation:

p = 2w + 2l

where <em>l</em> is width, <em>h</em> is height, and <em>p</em> is perimeter.

We're also told that the total perimeter is 52 inches.

We're also told that the length is six inches less than three times the width.  We can express that as w = 3l - 6.

We can plug that definition of w into the perimeter equation to find the length:

p = 2w + 2l\\52 = 2(3l - 6) + 2 * l\\52 = 6l - 12 + 2l\\52 + 12 = 8l\\8l = 64\\l = 64/8\\l = 8

Now we can take that and the given perimeter, and substitute those into the perimeter equation to find the width:

p = 2w + 2l\\52 = 2w + 2(8)\\52 = 2w + 16\\36 = 2w\\w = 36 / 2\\w = 18

So the width is 18

7 0
3 years ago
if 2/5 of a ton of concrete covers 5/6 of a wall, how many tons of concrete are required to cover the entire wall?
Valentin [98]
Your answer would be 12/25 tons. If you set up a proportion  2/5             X
                                                                                       --------   =   -------
                                                                                        5/6             1
Solve your proportion.    
8 0
3 years ago
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The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the neares
patriot [66]
Hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch
6 0
3 years ago
Divide 53 by 10. write the quotient as a mixed number
posledela

\frac{53}{10}  = 5 \frac{3}{10}

Hope this helps. - M
5 0
3 years ago
56. A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12 cm forming the solid s
icang [17]

Answer:  I think it's 15,872cm

7 0
3 years ago
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