Answer:
x=0, -5/3
Step-by-step explanation:
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
<u><em>Answer:</em></u>
Option 3
<u><em>Explanation:</em></u>
<u>To get the value of the cheapest bike, best option, we will calculate the total cost of each bike:</u>
<u>i- Option 1:</u>
Total cost = $88
<u>ii- Option 2:</u>
$5 down payment and $8 per week for 10 weeks
Total cost = 5 + 8(10) = 5 + 80 = $85
<u>iii- Option 3:</u>
$12 down payment and $5 per month for 12 months
Total cost = 12 + 5(12) = 12 + 60 = $72
<u>iv- Option 4:</u>
$20 down payment and $20 per month for 12 months
Total cost = 20 + 20(12) = 20 + 240 = $260
<u>Now, from the above calculations, we can conclude that:</u>
The best price would be that of option 3 ($72). It is the lowest price compared to other option.
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
60 minutes
find 30 potatoes at the x-axis and look at where the line is at
