Answer:
5
Step-by-step explanation:
Assuming we want to evaluate |z|, given that, z=4+3i.
Then, by definition of modulus,
![|x + yi| = \sqrt{ {x}^{2} + {y}^{2} }](https://tex.z-dn.net/?f=%20%7Cx%20%2B%20yi%7C%20%20%3D%20%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%7D%20)
![|4+ 3i| = \sqrt{ {4}^{2} + {3}^{2} }](https://tex.z-dn.net/?f=%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B%20%7B4%7D%5E%7B2%7D%20%2B%20%20%7B3%7D%5E%7B2%7D%20%20%7D%20)
![|4+ 3i| = \sqrt{ 16+ 9 } \\ |4+ 3i| = \sqrt{25 } \\ |4+ 3i| = 5](https://tex.z-dn.net/?f=%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B%2016%2B%20%209%20%7D%20%20%5C%5C%20%7C4%2B%203i%7C%20%20%3D%20%20%5Csqrt%7B25%20%7D%20%20%5C%5C%20%7C4%2B%203i%7C%20%20%3D%205)
Therefore the modulus be of the given complex number is 5 units
Answer:
11 units i think
Step-by-step explanation:
To find the area of an obtuse triangle you have to multiply the base of the triangle by the vertical height and divide the result by 2 following the formula:
![A=\frac{b\cdot h}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bb%5Ccdot%20h%7D%7B2%7D)
The base of the triangle is b= 7 miles and the height is h= 8 miles, using these lengths calculate the area as follows:
![\begin{gathered} A=\frac{7\cdot8}{2} \\ A=\frac{56}{2} \\ A=28mi^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D%5Cfrac%7B7%5Ccdot8%7D%7B2%7D%20%5C%5C%20A%3D%5Cfrac%7B56%7D%7B2%7D%20%5C%5C%20A%3D28mi%5E2%20%5Cend%7Bgathered%7D)
The area of the triangle is 28 square miles.
Please show a picture so that I can help you
Answer:
a.)
Step-by-step explanation: