Answer:
4.4
Step-by-step explanation:
x is hypotenuse of the right triangle.
One leg is 2.4 in.
Second leg = 7.4/2 = 3.7 in.
Using Pythagorean theorem
Hypotenuse²= (first leg)² + (second leg)²
x² = 2.4² + 3.7² = 19.45 in²
x=√19.45 ≈ 4.4 in
The values of x are x = -0.77 and x = 3.27
<h3>How to determine the value of x?</h3>
To calculate the value of x. we start by using the following equivalent ratio
2x : (3.5 + x + 1.5) = x + 0.5 : x + 1.5
Evaluate the like terms
2x : (5 + x) = x + 0.5 : x + 1.5
Express the ratio as a fraction
2x/5 + x = x + 0.5/x + 1.5
Cross multiply
2x(x + 1.5) = (5 + x)(x + 0.5)
Open the brackets
2x^2 + 3x = 5x + 2.5 + x^2 + 0.5x
Evaluate the like terms
x^2 - 2.5x - 2.5 = 0
Using a graphing calculator, we have
x = -0.77 and x = 3.27
Hence, the values of x are x = -0.77 and x = 3.27
Read more about triangles at:
brainly.com/question/17335144
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Answer:
d = 2.12
Step-by-step explanation:
Answer:
31.25
Step-by-step explanation: