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3 years ago

The legs of a right triangle measure 7 and x. The hypotenuse measures 25. Determine the value x

Mathematics

1 answer:

777dan777 [17]3 years ago

3 0

According to Pythagoras :

The square of hypotenuse is the sum if the square if the two other side

so : 7^2 + X^2 = 25^2

49 + X^2 = 625

X^2 = 625-49

X^2 = 576

this equation as two roots . As a triangle cannot have a negative side value, I will only take positive value

so X = V576 =24

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Kelly works two jobs. She usually works at a retail store for 8 hours during the day and is paid $12.90 per hour by the store. I

quester [9]

Answer:

i believe its 12.55

Step-by-step explanation:

if you add both number, 12.90 and 12.20, then divide by 2.

you'll will gain the same result

6 0

3 years ago

Assume that the national credit card interest rate is 12.83 percent. A study of 62 college students finds that their average int

meriva

Answer:

b) 95 percent confidence interval for this single-sample t test

[11.64, 16.36]

Step-by-step explanation:

Explanation:-

Given data a study of 62 college students finds that their average interest rate is 14 percent with a standard deviation of 9.3 percent.

Sample size 'n' =62

sample mean x⁻ = 14

sample standard deviation 'S' = 9.3

95 percent confidence interval for this single-sample t test

The values are $(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-}+t_{0.05}\frac{S}{\sqrt{n} })$ the 95 percent confidence interval for the population mean 'μ'

Degrees of freedom γ=n-1=62-1=61

t₀.₀₅ = 1.9996 at 61 degrees of freedom

$(14 - 1.9996\frac{9.3}{\sqrt{62} } ,14+1.9996\frac{9.3}{\sqrt{62} })$

(14-2.361 , 14 + 2.361)

[(11.64 , 16.36]

Conclusion:-

95 percent confidence interval for this single-sample t test

[11.64, 16.36]

6 0

3 years ago

The image of the point (-5,4) under a reflection across the Y-axis is (5,4). True or false

Vanyuwa [196]

The answer is true. A reflection is a translation over an axis

7 0

3 years ago

Find the interior angle sum for each polygon. Round your answer to the nearest tenth if needed

Lerok [7]

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

$S=180(n-2)$

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

$S=180(n-2)$

$S=180(6-2)\\\\S=180(4)\\\\S = 720$

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

$S=180(n-2)$

$S=180(5-2)\\\\S=180(3)\\\\S=540$

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

6 0

3 years ago

a high school baseball team won 40%of it's first 15 games beginning with 16th game how many games in a row dies the team now hav

Colt1911 [192]

11% would make it work I guess

7 0

3 years ago