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shusha [124]
3 years ago
7

HELP PLEASE WITH EXPLANATION

Mathematics
1 answer:
avanturin [10]3 years ago
3 0
So hmm notice the picture below

that's the 30-60-90 rule, notice your triangle, the bottom-left-angle is a right angle, 90°, the angle atop is 30°, so the angle on the bottom-right has to be 60°, thus is a 30-60-90 triangle, and as you can see on the triangle on the left in the picture, those are the ratios for it

so 8 will be x, what is the longer leg or side in yours then? well, is \bf 8\sqrt{3}


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A box contains 15 resistors. twelve of them are labelled 50ω and the other three are labeled 100ω. what is the probability that
Igoryamba

Answer : P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}

Explanation :

Since we have given that

Total number of resistors =15

Number of resistors labelled with 50ω = 12

Number of resistors labelled with 100ω =3

Let A: Event getting resistor with 50ω

B: Event getting resistor with 100ω

Since A and B are independent events .

So,

P(A\cap B)=P(A).P(B)

Now, According to question , we can get that

P(A)= \frac{12}{15}=\frac{4}{5}\\\\P(B)=\frac{3}{15}=\frac{1}{5}

So,

P(A\cap B)=P(A).P(B)\\\\P(A\cap B)=\frac{4}{5}\times \frac{1}{5}\\\\P(A\cap B)=\frac{4}{25}

So, by using the conditional probability , which state that

P(B\mid A)=\frac{P(A\cap B)}{P(A)}

P(B\mid A)=\frac{\frac{4}{25}}{\frac{4}{5}}\\\\P(B\mid A)=\frac{5}{25}\\\\P(B\mid A)=\frac{1}{5}

So, P(second resistor is 100ω , given that the first resistor is 50ω) is given by

\frac{1}{5}


4 0
4 years ago
Evaluate: 5 - 3 x when x = - 7
const2013 [10]
5 - 3 x
= 5 - 3 (-7)
= 5 + 21
= 26
7 0
3 years ago
Read 2 more answers
Your $128 regular pay, plus tips, was $237. How much were the tips?
Amanda [17]
Just subtract them- $109
7 0
3 years ago
Read 2 more answers
CORRECT ANSWER GETS BRAINLIEST, MUST HAVE EQUATION
kvasek [131]
I don’t understand 6
5 0
3 years ago
Help pleaseeeeee sissiisisjsiss
Bumek [7]

9514 1404 393

Answer:

  i) ∠AOB = 87°

  ii) ∠BOC = 72°

  iii) ∠COD = 123°

  iv) ∠AOD = 78°

Step-by-step explanation:

The first three angle measures can be read from the diagram. Find the rays that define the angle, and read the measure of the arc between them.

The last angle, AOD, is found using the fact that the sum of all of the angles around a point is 360°.

  87° +72° +123° +∠AOD = 360°

  ∠AOD = 360° -282° . . . . . . . . . . subtract 282° from both sides

  ∠AOD = 78°

7 0
3 years ago
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