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3 years ago

Will the given side lengths form a right triangle? 1, 2, 5

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Step-by-step explanation:

For 3 side lengths of a triangle to form a right triangle, the sum of the squares of the 2 smaller side lengths must be equal to the square of the largest side. (a² + b² = c²)

Since 1² + 2² =/= 5², (5 =/= 25)

it will not form a right triangle.

Another Explanation:

Since 5 > 1 + 2, the sum of the 2 smaller side lengths is less than the largest side. Hence it will not form a triangle => not form a right triangle.

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Please help with these questions!!!

klasskru [66]

Answer:

Step-by-step explanation:

Q1: (x-1) * (x+1) * (x-2) * (x+2)

Q2: x'1 = -1/3, x'2 =2

Q3: i dont get this one sry

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2 years ago

The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distribu

Elodia [21]

Answer:

a) Standard error = 0.5

b) 99% Confidence interval: (19.2125,21.7875)

Step-by-step explanation:

We are given the following in the question:

Population mean = 20.50 mpg

Sample standard deviation = 3.00 mpg

Sample size , n = 36

Standard Error =

$=\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = 0.5$

99% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.575$

$20.50 \pm 2.575(\displaystyle\frac{3}{\sqrt{36}})= 20.50 \pm 1.2875 = (19.2125,21.7875)$

4 0

2 years ago

If i is raised to an even power than I can’t simplify to be <br> i <br> 1 <br> -1

son4ous [18]

Answer:

Step-by-step explanation:

i^ even power

i^2 = i*i = -1

i^4 = =1

So raised to an even power, it will be either 1 or negative 1

raised to an odd power it will be either i or -i

4 0

3 years ago

Julia is casting a play with 4 main roles. Six students

aev [14]

Using the combination formula, it is found that Julia can take 15 combinations.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

$C_{6,4} = \frac{6!}{4!2!} = 15$

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

7 0

2 years ago

Community Gym Charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fr

zheka24 [161]

For the Community Gym:
Membership Charge = $50
Monthly fee = $55
So for the 1st month total charge = $(50 +55)
   = $105
For each month the member pays $55
So after the 2nd month total payment = $(105 + 55)
   = $160
After 3rd month total payment = $(160 + 55)
   = $215
After 4th month total payment = $(215 + 55)
   = $270
After 5th month total payment = $(270 + 55)
   = $325
After 6th month total payment = $(325 + 55)
   = $380
Now for the Workout Gym:
Membership Charge = $200
Monthly Charge = $45
So for the 1st month the member pays = $(200 + 45)
      = $245
For the 2nd month total payment = $( 245 +45)
      = $290
For the 3rd month total payment = $(290 + 45)
   = $335
For the 4th month total payment = $(335 + 45)
   = $ 380
So the 6th month payment in the Community Gym is the same as the 4th month payment in the Workout Gym. The amount will be $380.

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3 years ago