In a right triangle the two legs are measures of 4x and 3x with a hypotenuse measurement of 5x. If the area of the triangle is 24 square units, find the cosine of each acute angle.

The cosine of the acute angles are 0.80 and 0.60 respectively

The given parameters are:

Let the acute angles be and

The cosine of the acute angles is calculated using:

So, the formula becomes

and

Hence, the cosine of the acute angles are 0.80 and 0.60 respectively

Read more about cosines at:

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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