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Flura [38]
3 years ago
8

(07.01 HC)

Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

Sinx = 5/13

cosy = 5/13

cosy = sinx ; they both share a proportional relationship

Step-by-step explanation:

From the attached triangle, since the triangle is right angled, we can use trigonometric functions where ;

sinx° = opposite / hypotenuse

From Pythagoras ;

Hypotenuse = √(opposite² + adjacent²)

Hypotenus = √(12² + 5²)

Hypotenus = 13

Sin x° = opposite / hypotenus = 5 / 13

Sin x° = 5/13

Cos y = adjacent / hypotenus = 5 / 13

Hence,

sinx = cosy

Therefore, they both share a proportional relationship.

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Answer:

a. 0.5

Step-by-step explanation:

We know that X follows normal distribution with

mean=75

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P(X\geq 75)=P(\frac{x-mean}{standard deviation}\geq \frac{75-75}{8})

P(X\geq 75)=P(Z\geq 0)

P(Z\geq 0)=P(0<Z<∞)

The area under the normal curve is 1 and the  (0<Z<∞) =0.5 and (-∞<Z<0) =0.5

So, P(0<Z<∞)=0.5

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4 years ago
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Ivanshal [37]

Answer:

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General Formulas and Concepts:

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define Expression</u>

5m + 18 + 15m - 24 - 4m

<u>Step 2: Simplify</u>

  1. Combine like terms (m):                    16m + 18 - 24
  2. Combine like terms (Z):                     16m - 6
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Answer:

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Step-by-step explanation:

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