An airplane is at 32,000 feet above sea level and descends at an average rate of 1,000 feet per minute. How many minutes will it
2 answers:
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The solutions to the equation are
Explanation:
Given the equation
, we aim to find the solutions of the equation.
Let us use and
Thus, the equation transforms into
Factoring the equation results in:
Inserting back and allows us to solve for x.
Initially, we will substitute
Consequently, we find;
Similarly, by substituting , we derive;
Thus, the solutions to the equation are
<span>Which formula can be applied to find the side length of the rhombus?
The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>
The correct answer is the first choice: 10/Cos(30°)
Explanation:
1. The figure shows a right triangle, where the hypotenuse is denoted by "x," and this is the length you are solving for. Therefore, you have:
Cos(</span>α)=Adjacent side/Hypotenuse
<span>
</span>α=30°
<span> Adjacent side=(20 in)/2=10 in
Hypotenuse=x
2. Inputting these numbers into the equation yields:
</span>
Cos(α)=Adjacent side/Hypotenuse
<span> Cos(30°)=10/x
3. Hence, by isolating the hypotenuse "x," you arrive at the expression to find the side length of the rhombus, as shown below:
x=10/Cos(30°)
</span>