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maksim [4K]
2 years ago
5

Solve (x+2<5) u (x-7>-6)

Mathematics
1 answer:
FrozenT [24]2 years ago
5 0

Answer:

{x | x<3 or x>1}

Step-by-step explanation:

x+2<5

x<5-2

x< 3

x-7> -6

x> -6+7

x>1

symbol U means union

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Jacob made a banner for a sporting event in the shape of a parallelogram the area of the banner is 127 1/2 square centimeters th
Firlakuza [10]
For a parallelogram, the area is calculated by the equation,
                                            A = bh
where A is area, b is base, and h is height. From this equation, we can solve for the base of the banner by dividing the area by the height. 
                        base of the banner = 127.5 cm² / 4.25 cm
                         base of the banner = 30 cm
Thus, the measure of the base of the banner is equal to 30 cm. 
8 0
3 years ago
What two values the following number 250 is between
polet [3.4K]

Answer:

B

Step-by-step explanation:

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2 years ago
A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability
Anika [276]

Answers:

  • Red = 1/3
  • Yellow = 7/15
  • Blue = 1/5

====================================================

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

  • Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
  • Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
  • Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
4 0
2 years ago
11. What is the vertex of ZLMN?
astraxan [27]
ANSWER: (5,2)

according to the graph, the vertices of the
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3 0
2 years ago
Help? with complete solution​ please help me please
serious [3.7K]

9514 1404 393

Answer:

  1. 13 ft
  2. (a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

__

<h3>2. </h3>

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

__

(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

8 0
2 years ago
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