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Diano4ka-milaya [45]
3 years ago
12

Nine times the sum of a number and two is forty five. What is the number? {Write an equation.}

Mathematics
1 answer:
shusha [124]3 years ago
3 0

Answer:

Step-by-step explanation:

9*n+2=45

9*n+2-2=45-2

9*n=43

<u>9n</u>=<u>43</u>

9     9

n=4 7/9

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What is the exterior angle of #9 ?
Alexxandr [17]

Answer:

55

Step-by-step explanation:

3x-12=2x

    +12

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4(12)+ 9

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6 0
3 years ago
A building may fail by excessive settlement of the foundation or by collapse of the superstructure. Over the life of the buildin
patriot [66]

Answer:

0.1536

Step-by-step explanation:

The computation of probability that the building failure will occur over its life is shown below:-

P(building failure) is

P(ES \cup C)\\\\ = P(ES) + P(C) - P(ES\cap C)\\\\ = P(ES) + P(C) - P(ES) P (C | ES)\\\\ = 0.12 + 0.06 - 0.12 \times 0.22

now we will solve the above equation

= 0.18 - 0.0264

After solving the above equation we will get

= 0.1536

Therefore for computing the probability that the building failure will occur over its life we simply applied the above formula.    

3 0
3 years ago
A square matrix A is said to be idempotent iff A2 = A. (i) Show that if A is idempotent, then so is I − A. (ii) Show that if A i
muminat

Answer:

Step-by-step explanation:

Given that A is a square matrix and A is idempotent

A^2 = A

Consider I-A

i) (I-A)^2 = (I-A).(I-A)\\= I^2 -2A.I+A^2\\= I-2A+A\\=I-A

It follows that I-A is also idempotent

ii) Consider the matrix 2A-I

(2A-I).(2A-I)=\\4A^2-4AI+I^2\\= 4A-4A+I\\=I

So it follows that 2A-I matrix is its own inverse.

7 0
3 years ago
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