The length of sides x in the simplest radical form is 2√2
<h3>Properties of a right angled triangle:</h3>
- One of the angle is equals to 90 degree.
- The sides can be found using Pythagoras theorem
- Trigonometric ratios can be used to find the angles.
Let's find x using trigonometric ratios
sin ∅ = opposite / hypotenuse
Therefore,
sin 30° = √2 / x
x sin 30° = √2
x = √2 / sin 30°
x = ![\frac{\sqrt{2} }{\frac{1}{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
x =
× 2
x = 2√2
learn more on right angle triangle: brainly.com/question/15948053?referrer=searchResults
Estimate using rate per 100. 24% of 289
Solution: We have to find the 24% of 289,
We know that:
![24\%=\frac{24}{100}](https://tex.z-dn.net/?f=24%5C%25%3D%5Cfrac%7B24%7D%7B100%7D)
![\therefore 24\% of 289 = \frac{24}{100} of 289](https://tex.z-dn.net/?f=%5Ctherefore%2024%5C%25%20of%20289%20%3D%20%5Cfrac%7B24%7D%7B100%7D%20of%20289)
![=\frac{24}{100}\times289](https://tex.z-dn.net/?f=%3D%5Cfrac%7B24%7D%7B100%7D%5Ctimes289)
![=0.24 \times 289](https://tex.z-dn.net/?f=%3D0.24%20%5Ctimes%20289)
![=69.36](https://tex.z-dn.net/?f=%3D69.36)
![\therefore 24\% of 289 = 69.36](https://tex.z-dn.net/?f=%5Ctherefore%2024%5C%25%20of%20289%20%3D%2069.36)
Answer:
-8/15
Step-by-step explanation:
The decimal is -0.53 if you need that also
If you would like to solve the equation -2c = pm^2 - n for m, you can do this using the following steps:
<span>-2c = pm^2 - n
</span>-2c + n = pm^2 /p
m^2 = (-2c + n) / p
m = sqrt((-2c + n) / p)
The correct result would be the second answer; m = sqrt((-2c + n) / p<span>).</span>
The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r