Answer:
÷ ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
Step-by-step explanation:
→
÷ ![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
![= \frac{2\sqrt{5} }{\sqrt{5} }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B2%5Csqrt%7B5%7D%20%7D%7B%5Csqrt%7B5%7D%20%7D)
<u>→ </u><u>2</u><u> is a rational number</u>
→
÷ ![2\sqrt{5}](https://tex.z-dn.net/?f=2%5Csqrt%7B5%7D)
![=\frac{\sqrt{2} }{2\sqrt{5} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B2%5Csqrt%7B5%7D%20%7D)
![=\frac{\sqrt{2} }{\sqrt{2}*\sqrt{2}*\sqrt{5} }](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B2%7D%2A%5Csqrt%7B2%7D%2A%5Csqrt%7B5%7D%20%20%20%7D)
<u>↑ is irrational number</u>
÷ ![\pi](https://tex.z-dn.net/?f=%5Cpi)
![= \frac{\pi }{2} *\frac{1}{\pi }](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%2A%5Cfrac%7B1%7D%7B%5Cpi%20%7D)
![=\frac{1}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B2%7D)
<u>↑ is a rational number</u>
![D)](https://tex.z-dn.net/?f=D%29)
÷ ![\pi](https://tex.z-dn.net/?f=%5Cpi)
<u>↑ is a rational number</u>
<u>So,</u><u> Option B</u><u> is your answer</u>
![-----------------](https://tex.z-dn.net/?f=-----------------)
hope it helps..
have a great day!!!
You add/subtract complex numbers simply by adding/subtracting real parts and imaginary parts.
So, the real part of this sum is the sum of the real parts:
![-3+6=3](https://tex.z-dn.net/?f=-3%2B6%3D3)
And the imaginary part of this sum is the sum of the imaginary parts:
![5i+2i=7i](https://tex.z-dn.net/?f=5i%2B2i%3D7i)
So, you have
![(-3+5i)+(6+2i) = 3+7i](https://tex.z-dn.net/?f=%28-3%2B5i%29%2B%286%2B2i%29%20%3D%203%2B7i)
To solve this problem you must apply the proccedure shown below:
1- You have the following expression given in the problem above <span>2^4x2^-7
2- You can find and equivalent expression as following: The negative exponent indicates that 2^7 must be in the denominator:
</span><span> =</span><span>2^4/2^7
</span> 3- By simplifying, you obtain:
=1/2^3
=1/8
Therefore, the answer is: 1/8
Answer:
That is true
Step-by-step explanation:
The ratio is a one-to-one measure, literally a ratio of the sides in reduced form. The area is that one-to-one ratio squared.
Our numbers are already squared, so in order to find the one-to-one we have to take the square roots of both of them.
.
Answer:
x = 30° ; y = 45°
Step-by-step explanation:
Angle subtended by the diameter on any point of the circle is 90°. So,angleRSP = 90°
angleRST = 120° (given)
But,
angleRST = angleRSP + anglePST
![= > 90 + x = 120](https://tex.z-dn.net/?f=%20%3D%20%20%3E%2090%20%2B%20x%20%3D%20120)
![= > x = 120 - 90 = 30](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20%3D%20120%20-%2090%20%3D%2030)
In triangle PQR , PQ = RQ (given)
Hence , it is an isosceles triangle. As it is an isosceles triangle , the base angles are equal.
=> anglePRQ = angleRPQ = y°
anglePQR = 90° (Angle subtended by diameter on any point of circle is 90°)
According to Angle Sum Property of Triangle,
anglePRQ + angleRPQ = anglePQR
![= > 90 + y + y = 180](https://tex.z-dn.net/?f=%20%3D%20%20%3E%2090%20%2B%20y%20%2B%20y%20%3D%20180)
![= > 2y = 180 - 90 = 90](https://tex.z-dn.net/?f=%20%3D%20%20%3E%202y%20%3D%20180%20-%2090%20%3D%2090)
![= > y = \frac{90}{2} = 45](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20y%20%3D%20%20%5Cfrac%7B90%7D%7B2%7D%20%20%3D%2045)