Answer: 313.1 feet
Step-by-step explanation:
\tan 82=\frac{x}{44}
tan82=
44
x
44\tan 82=x
44tan82=x
x=313.0763\approx \mathbf{313.1}\text{ feet}
x=313.0763≈313.1 feet
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
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Answer:
31.2
Step-by-step explanation:
Answer: Hypotenuse is 12 inches
Step-by-step explanation: a^2+b^2=c^2
c^2=8^2+9^2
c^2=64+81
c^2=145
c=square root of 145
c=12.04
Answer:
Index of refraction of transparent is 1.48
Step-by-step explanation:
Snell's law states that;
n1(sinθ1) = n2(sinθ2)
Where;
n1 and n2 represent the indices of refraction for the two media, and θ1 and θ2 are the angles of incidence and refraction that the ray R makes with the normal.
In this question;
n1 = 1;
θ1 = 43.8°
θ2 = 19.3°
n2 is unknown.
Thus using Snell's law, we have;
1 x sin 43.8 = n2 x sin 19.3
n2 = (sin 43.8)/sin 19.3
n2 = 1.48
