Answer:
∠3 = 140°
Step-by-step explanation:
∠4 = 40°
∠4 = ∠1 <u><em>(vertical angles)</em></u>
∠1 = ∠2 <u><em>(alternate angles)</em></u>
∠2 = 40°
So,
∠2+∠3 = 180 <em><u>[Angles on a straight line add up to 180°]</u></em>
40 + ∠3 = 180
∠3 = 180-40
∠3 = 140°
Answer:
c 2:1
Step-by-step explanation:
8/4=2
4/4=1
8:4 simplified is 2:1
Answer:
Step-by-step explanation:
Given complex number is:
To find:
Answer in rectangular form after using De Moivre's theorem = ?
i.e. the form (not in forms of angles)
Solution:
De Moivre's theorem provides us a way of solving the powers of complex numbers written in polar form.
As per De Moivre's theorem:
So, the given complex number can be written as:
Now, using De Moivre's theorem:
So, the answer in rectangular form is:
It must be an equal ratio- 2:3:7 = n:n:112
Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.
To get from 7 to 112, we must multiply by 16. This is the relationship.
So, we must multiply both, the walnut and raisin cookies by 16 also.
2 x 16 = 32 = Raisin
3 x 16 = 48 = Walnut
Already known: 112 = Pinwheel
Now that we have all the data, we can make the ratio.
Raisin : Walnut : Pinwheel
32 : 48 : 112
Hope this helps! :)
the answer is 17.5 kilometers