Answer:
Step-by-step explanation:
slope = 4
Answer:
18.2 miles
Step-by-step explanation:
simple multiplication:
We know that 1 inch of distance on the map is equal to 5.2 miles.
Using this knowledge we can multiply the amount of inches by the miles per inch.
5.2*3.5=18.2 miles apart
Hope this helps!!
Answer:
the amount after 5 years using compound continuously is $135.03
Step-by-step explanation:
The computation of the amount after 5 years using compound continuously is as follows
= Principal × e^(rate × time period)
= $110 × e^(4.2% × 5)
= $110 × 1.227525065
= $135.03
Hence, the amount after 5 years using compound continuously is $135.03
We simply applied the above formula so that the correct value could come
And, the same is to be considered
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
BD is equal to 120 because when you find the hypotenuse of triangle GEB, you just have to multiply it by 1.5.
