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VARVARA [1.3K]
3 years ago
12

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
2 answers:
koban [17]3 years ago
7 0

Answer:

tan∠Y = 2,14

Step-by-step explanation:

First , we need to determine XY

in order to do that we use the Pythagorean theorem :

XY = √(85^2-77^2) = 36

tan∠Y = 77/36 = 77÷36 = 2,138888888889

Jobisdone [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Triangle WXY is a right angle triangle.

From the given right angle triangle

WY represents the hypotenuse of the right angle triangle.

With ∠Y as the reference angle,

XY represents the adjacent side of the right angle triangle.

WX represents the opposite side of the right angle triangle.

To determine XY, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

85² = 77² + XY²

XY² = 85² - 77² = 7225 - 5929

XY = √1296 = 36

To determine tan Y, we would apply trigonometric ratio

Tan θ = opposite side/adjacent side. Therefore,

Tan Y = 77/36

Tan Y = 2.14

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5. Find the squares of the following numbers by using the formula of (a + b)' or (a-b]². c) 98​
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alexira [117]

Answer:

Mean = 10

Variance = 30.89

Standard Deviation = 5.56

Step-by-step explanation:

Find the Mean, Variance and Standard deviation

6, 14, 8, 2, 11, 7, 12, 4, 18, 18

Step 1

We rearrange the data and find the Mean

2, 4, 6, 7, 8, 11, 12, 14, 18, 18

Mean = Sum of values/Number of values

= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10

= 100/10

= 10

Step 2

We find the variance of this sample days ma

Variance = (x - Mean)²/n - 1

n = 10

Hence,

=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1

= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9

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= 30.88888889

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Step 3

Standard Deviation = √Variance

= √30.89

= 5.5578772926

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6 0
3 years ago
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