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Kobotan [32]
3 years ago
10

The legs of a 45-45-90 triangle have a length of eight units. What is the length of its hypotenuse?

Mathematics
1 answer:
Feliz [49]3 years ago
6 0
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 * <span> <span> <span> 1.4142135624 </span> </span> </span>
hypotenuse = <span> <span> <span> 11.3137084990 </span> </span> </span>

Source:
http://www.1728.org/trig2.htm


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Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: (2x+4)+6x>18

8x+4>18

8x>14

x>\dfrac{14}{8}

x>\dfrac{7}{4}      ...(1)

Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

\dfrac{11}{2}>x     ...(2)

Case III: 6x+18>2x+4

6x-2x>4-18

4x>-14

x>-\dfrac{14}{4}

x>-\dfrac{7}{2}     ...(3)

On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

3 0
3 years ago
A man can paint one house in 12 hours. At this rate, how many houses could 18 men paint in 6 hours
OverLord2011 [107]

Answer:

i want to say 36, im not 100% sure though

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Hana makes and sells knit scarves. She will charge $12 for each scarf she sells at the craft fair next week. She will pay a $25
Aleksandr-060686 [28]

Answer:

$12s - $25

Step-by-step explanation:

Given that:

Amount charged per scarve = $12

Cost of booth used = $25

Profit made for selling 's' scarve after paying for booth

Profit = Revenue - Expenditure

Revenue = cost per scarve * number of scarves sold

Revenue = $12 * s

Revenue = 12s

Expenditure = cost of booth

Expenditure = $25

Hence,

Profit made = $12s - $25

3 0
2 years ago
Help me! Will give 18 Points and will mark a person as brainiest to the first person who answers!
Reika [66]

Answer:

-201.1

-200.9

-200

201

201.8

Step-by-step explanation:

For the given statement we have come to know that number in the line who have negative vales are less than the positive value

so in the number line we can see that

-201.1 is negative value in the number line and it has least value so

next value is -200.9 who is also negative and least but greater than -201.1

moving towards next we can see the value of 200 who is also negative but greater than from -200.9 so moving towards next

we can see that 201.8 is positive value so it is greater from all the past values

next the value 201 is greater than 200

so after these explanation you can see that numbers moving from negative to positive values and its show greatest values as well

hope it will be brainliest to you .

thank you

4 0
3 years ago
HHEELLP PLEASE I GIVE MARK BRAINLIEST!!!!
Shtirlitz [24]
The answer is y-x because there are y seats and x people leave and the key word is leave. When there is words like leave or less those give you hints that mean you are subtracting.

4 0
2 years ago
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