Answer:A
Explanation:
d = √((5 – 0)2 + (2 – 0)2
d = √(25 + 4) = √(29) ≈ 5.385
Answer:
22
Step-by-step explanation:
PEMDAS
25-9÷3
25-3
22
<u>Answer</u><u> </u><u>:</u><u>-</u>
9(3+√3) feet
<u>Step </u><u>by</u><u> step</u><u> explanation</u><u> </u><u>:</u><u>-</u>
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
<u>In ∆ABC , </u>
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
<u>Again</u><u> </u><u>In</u><u> </u><u>∆</u><u> </u><u>ABC</u><u> </u><u>,</u><u> </u>
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
<h3>
<u>Hence </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>triangular</u><u> </u><u>pathway</u><u> </u><u>shown</u><u> </u><u>is</u><u> </u><u>9</u><u> </u><u>(</u><u> </u><u>3</u><u> </u><u>+</u><u> </u><u>√</u><u>3</u><u> </u><u>)</u><u> </u><u>ft</u><u> </u><u>.</u></h3>
![y=\sqrt{x}](https://tex.z-dn.net/?f=%20y%3D%5Csqrt%7Bx%7D%20%20)
As we know, the square root of negative numbers.
Hence, the x must be a positive value and greater than 0.
So, x:x∈[0,∞)
![y=\sqrt{x+3}](https://tex.z-dn.net/?f=%20y%3D%5Csqrt%7Bx%2B3%7D%20%20)
![x+3\geq 0](https://tex.z-dn.net/?f=%20x%2B3%5Cgeq%200%20)
subtracting 3 from both sides
![x\geq -3](https://tex.z-dn.net/?f=%20x%5Cgeq%20-3%20)
x:x∈[-3,∞)
A. 4 squared + b squared = 5 squared