Answer:
72 = 30%
Step-by-step explanation:
240 = 100%
24 = 10%
12 = 5%
2.4 = 1%
72 / 24 = 3
72 = 30%
Let me know if I got it wrong :)
Answer:
What is the constant variation of Y =- 2 3x?
The constant of variation, k , is 23 .
Step-by-step explanation:
When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.
8 x 5 = 40
40 x 18 = 720
Hope this helps!
De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.
For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes
[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))]
it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
and that is the answer.
For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)
[2^6(cos(40*6))+isin(40*6)],
[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
A 16 karat gold means that there are 16 parts of gold in
24 parts of the gold chain. Therefore the weight of the pure gold is:
pure gold = (16 / 24) * 2.6 ounces
<span>pure gold = 1.73 ounces</span>
