Answer:
TRUE
Step-by-step explanation:
A complex number is represented as z = x + iy
Given the complex number -5i, this can also be written as;
z = 0-5i
Get the modulus
|z| = √0²+(-5)²
|z| = √25
|z| = 5
Get the argument
theta = arctan(y/x)
theta = arctan(-5/0)
theta = arctan(-∞)
theta = -90degrees
Since tan is negative in the 2nd and fourth quadrant
in the fourth quadrant, theta - 360 - 90
theta = 270 degrees
Express in polar form;
z = |z|(cos theta + i sintheta)
z = 5(cos270°+ison270°)
Hence the statement given is TRUE
Answer:
3x-24
Step-by-step explanation:
jajdjaknfjsjsjdn
<h3>Given:</h3>
- Radius of 50 point region= 3 in
- Width of other regions= 4 in
<h3>To find:</h3>
The area of the target which earns 30 points on a throw.
<h3>Solution:</h3>
![\huge\boxed{Formula: a= \pi{r}^{2}}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7BFormula%3A%20a%3D%20%5Cpi%7Br%7D%5E%7B2%7D%7D)
![4+3](https://tex.z-dn.net/?f=4%2B3)
![=7](https://tex.z-dn.net/?f=%3D7)
Let's solve
We have to find the answer in terms of π so, we'll just have to multiply the radius by itself.
![a={7}^{2}](https://tex.z-dn.net/?f=a%3D%7B7%7D%5E%7B2%7D)
![\large\boxed{a= 49 \pi\: {in}^{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba%3D%2049%20%5Cpi%5C%3A%20%7Bin%7D%5E%7B2%7D%7D)
<u>Hence,</u><u> </u><u>the</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the target which earns 30 points on a throw</u><u> </u><u>is</u><u> </u><u>4</u><u>9</u><u>π</u><u> </u><u>square</u><u> </u><u>inches</u><u>.</u>
<u>Answer</u><u>=</u><u> </u><u>Option</u><u> </u><u>B</u>
The question also states that each brick weighs 4 lb and ask to find 1) the function and 2) the total load if the wheelbarrow carry 20 bricks.
1) Function: weight of the wheelbarrow + weight of the bricks
call x, the number of bricks
f(x) = 42 + 4x
2) total load with 20 bricks
f(20) = 42 + 4(20) = 42 + 80 = 122 lb
Answer:
924.72 yards²
Step-by-step explanation: