Answer:
x = 16√3
y = 8√3
Step-by-step explanation:
First, to figure out x, put the side we already know (24) over the cosine of the angle we know (30).
x = 24/cos(30)
<em>(cos(30) is the same as √3/2)</em>
x = 24/√3/2
<em>Step 1: Multiply by 2/√3</em>
x = (24 * 2)/√3
<em>Step 2: Rationalize the denominator by multiplying by √3</em>
x = √3(24 * 2)/√3 * √3
<em>Step 3: √3 squared is 3.</em>
√3(24 * 2)/3
<em>Step 4: Multiply 24 by 2 to get 48.</em>
x = √3(48)/3
<em>Divide √3(48) by 3 to get 16√3</em>
x = 16√3
Before we figure out y, we need to find you what 16√3 squared is.
((16(√3))²
<em>Step 1: Expand the above equation.</em>
16²(√3)²
<em>Step 2: Square 16 to get 256.</em>
256(√3)²
<em>Step 3: √3 squared is 3.</em>
256(3)
<em>Step 4: Multiply 256 by 3 to get 768.</em>
768
Now, subtract 576 (24 squared) from 768 to get 192. Find the square root of that, which is 8√3. (192 = 8² * 3; rewrite as √8²√3, then take the square root of 8²
Answer:
C. Circle
Step-by-step explanation:
A sphere is just a three dimensional circle, if you rotate a two dimensional object it becomes three dimensional.
<h2><em>6. 18 divided by 3 is 6. 6 students in the class are painting. Hope this helps and have a nice day...! o/</em></h2>
4.2x - 1.4y = 2.1 |multiply both sides by 10
42x - 14y = 21 |subtract 42x from both sides
-14y = 21 - 42x |change signs
14y = 42x - 21 |divide both sides by 14
y = 3x - 1.5
