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3 years ago

1. Determine the measure of the unknown angles indicated by letters. Justify your answers with

Mathematics

1 answer:

Maurinko [17]3 years ago

7 0

Answer:

hello,

Step-by-step explanation:

In an isocele triangle, base's angles have the measure:

42+2a=180

2a=180-42

a=69(°)

in a triangle, an external angle has for measure the sum of the angles not adjacents.

55+b=132

b=77 (°)

in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.

90+90+68+c=360

c=360-90-90-68

c=112 (°)

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Distribute the expression. 5(2 s 2 −3s+4)

Nookie1986 [14]

If it's just distribution, not solving for s (I mean I could but do you need to?):

5(2s² - 3s + 4) Distribute/multiply 5 into (2s² - 3s + 4)

(5)2s² - (5)3s + (5)4

10s² - 15s + 20

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3 years ago

A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro

olchik [2.2K]

Answer:

0.756

Step-by-step explanation:

It is given that a machine has four components, A, B, C, and D.

$P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92$

If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of $P(A\cap B\cap C\cap D)$ .

If two events X and Y are independent, then

$P(X\cap Y)=P(X)\times P(Y)$

Assume the probability of one part working does not depend on the functionality of any of the other parts.

$P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)$

Substitute the given values.

$P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92$

$P(A\cap B\cap C\cap D)=0.7559226$

$P(A\cap B\cap C\cap D)\approx 0.756$

Therefore, the probability that the machine works properly is 0.756.

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3 years ago

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