Using the Pythagorean theorem, the other leg measures:
x = sqrt(35^2 - 32.6^2) = 12.74 cm
Since this is a right triangle, the base and height are simply the two sides that are perpendicular to each other.
Then the approximate area is (1/2)(leg 1)(leg 2) = (1/2)(32.6)(12.74) = 207.6 cm^2.
Answer:
1. In the multiplication of the imaginary parts, the student forgot to square of i. OR
2. The student has only multiplied the real parts and the imaginary parts.
Correct value
.
Step-by-step explanation:
The given expression is
![(4+5i)(3-2i)](https://tex.z-dn.net/?f=%284%2B5i%29%283-2i%29)
A student multiplies (4+5i) (3-2i) incorrectly and obtains 12-10i.
Student's mistake can be either 1 or second:
1. In the multiplication of the imaginary parts, the student forgot to square of i.
2. The student has only multiplied the real parts and the imaginary parts.
![(4+5i)(3-2i)=4\times 3+5\times (-2)i=12-10i](https://tex.z-dn.net/?f=%284%2B5i%29%283-2i%29%3D4%5Ctimes%203%2B5%5Ctimes%20%28-2%29i%3D12-10i)
Which is not correct. The correct steps are shown below.
Using distributive property, we get
![4(3-2i)+5i(3-2i)](https://tex.z-dn.net/?f=4%283-2i%29%2B5i%283-2i%29)
![4(3)+4(-2i)+5i(3)+5i(-2i)](https://tex.z-dn.net/?f=4%283%29%2B4%28-2i%29%2B5i%283%29%2B5i%28-2i%29)
![12-8i+15i-10i^2](https://tex.z-dn.net/?f=12-8i%2B15i-10i%5E2)
![[\because i^2=-1]](https://tex.z-dn.net/?f=%5B%5Cbecause%20i%5E2%3D-1%5D)
![12+7i+10](https://tex.z-dn.net/?f=12%2B7i%2B10)
![22+7i](https://tex.z-dn.net/?f=22%2B7i)
Therefore, the correct value of
is
.
It wouldnt be an even number but i got 7.3