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mojhsa [17]
2 years ago
7

Find the value of x. Round to the nearest tenth. 17° 47 Х X =[?]

Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
4 0

Answer:

13.7 units

Step-by-step explanation:

Hi there!

The dotted lines and the hypotenuse of the green triangle create a new right triangle, with one of its acute angles measuring 17 degrees and its hypotenuse measuring 47 units.

Given this information and that we must solve for the side opposite the given angle, we can use the sine ratio:

sin\theta=\frac{opposite}{hypotenuse}

Plug in known information

sin17=\frac{x}{47}\\47*sin17=x\\13.7=x

Therefore, the value of x when rounded to the nearest tenth is 13.7 units.

I hope this helps!

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Using the discriminant, describe the nature of the roots for the equation <br> 49x^2 − 28x + 4 = 0.
scZoUnD [109]

Answer:

Put the equation in standard form by bringing the 4x + 1 to the left side.

7x2 - 4x - 1 = 0

We use the discriminant to determine the nature of the roots of a quadratic equation. The discriminant is the expression underneath the radical in the quadratic formula: b2 - 4ac.

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Now here are the rules for determining the nature of the roots:

(1) If the discriminant = 0, then there is one real root (this omits the ± from the quadratic formula, leaving only one possible solution)

(2) If the discriminant > 0, then there are two real roots (this keeps the ±, giving you two solutions)

(3) If the discriminant < 0, then there are two imaginary roots (this means there is a negative under the radical, making the solutions imaginary)

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4 0
2 years ago
Joe swam a total of 558 labs at the pool during the summer swam 7 laps each day except the last day he swam fewer laps how many
Natasha_Volkova [10]

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Answer:

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