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ExtremeBDS [4]
3 years ago
14

Tell whether the following lengths are possible to be sides of a right triangle. if it is a triangle, state whether if it is a a

cute, right or obtuse
a. 2,2,2
b. 4,6,10
c. 7,24,25
d. 1, √3, 2
​
Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

A) an equilateral triangle with acute angles (60°)

B) isn't the lengths of a triangle

C) is a right triangle

D) is a right triangle

Step-by-step explanation:

A) 2,2,2, all sides and angles are all equal

B) applying cos rule to get the angles, an angle will be zero and a triangle can't have zero angle, thus the lengths are not that of a triangle

C) it's a right triangle as the dimensions are a pythagorean triple

D) it's a right triangle as the dimensions are a pythagorean triple

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Given that R=2x+9y Find x when y=3 and R=13.
german

R = 2x + 9y [ Given ]

When,

  • y = 3

  • R = 13

★ Substituting the values in the above equation

=> 13 = 2x + 9 × 3

=> 13 = 2x + 27

=> 13 - 27 = 2x

=> -14 = 2x

=> x = -14/2

=> x = -7

6 0
3 years ago
Wilda can do a job in 4 hours that karla needs 5 hours to do. If wilda works 1 hour before karla joins her, how long will it tak
mezya [45]
Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.

Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived.  So only 0.75 of the job remained to be done together.

Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.

How many times do they need to do  0.45  of the job in order to finish
the  0.75  of it that remains ?  That's the number of hours it will take them,
working together.

0.75 / 0.45  =  <em>1 and 2/3</em>

After Wilda worked alone for 1 hour and Karla came along to join her, it will
take them another  <em>1 hour and 40 minutes</em> to finish the job and go for a swim.
8 0
3 years ago
A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
Consider the matrix shown below:
WINSTONCH [101]

Answer:

A

Step-by-step explanation:

P^T is transpote matrix. So the rows of matrix P you write like columns in P^T.

So we have first row: 2, 5, it will be firsl column

2nd row: 8,1 will be 2nd column.

It is matrix:

2 8

5 1

This is matrix a)

3 0
3 years ago
HELP FAST I JUST NEED ANSWER
lukranit [14]

Answer:

449.60 or yellow

Step-by-step explanation:

5 0
3 years ago
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