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Rzqust [24]
3 years ago
5

What’s the answer please i need help

Mathematics
1 answer:
marishachu [46]3 years ago
4 0

ANSWER:

Angle xzw has a measure of 95 degrees

EXPLANATION:

A line has a  degress of 180

180-150= 30

Angle X is 30 (smaller one)

total degrees of a triangle is 180

Y angle= 65

X small angle is 30

30+65= 95

180-95=85 (angle xzy [non highlighted z angle])

180-85=95

SO, the highlighted angle is 95 degrees

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Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

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P(B) = ?

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Mathematically;

P(B|A) = P(B nA)/P(A)

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P(A) = 0.87/0.93

P(A) = 0.935483870967742

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3 years ago
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Novay_Z [31]

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Step-by-step explanation:

Given the following expression shown in the picture:

\frac{7}{3-\sqrt{2} }

You need to use a process called "Ratinalization".

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Then, in order to simplify the expression, you can follow the following steps:

<em>Step 1</em>. You need to multiply the numerator and the denominator of the fraction by  3+\sqrt{2}, which is the conjugate of the denominator  3-\sqrt{2}.

<em>Step 2</em>. Then you must apply the Distributive property in the numerator.

<em>Step 3</em>. You must apply the following property in the denominator:  (a+b)(a-b) = a^2 - b^2

Therefore, applying the procedure shown above, you get:

=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}

<em>Step 4</em>.  You can observe that the expression can be simplified even more. Since:

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You get:

\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}

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3 years ago
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