The answer is 7 cups of water are needed for 21 cups of flour.
Shown work:
1 cup of water=3 cups of flours
? Cup of water=21 cups of flours
21 divided 3=7
1 multiply by 7= 7 cups of water needed
If Dan is 8x years old next year then he must be 8x-1 years old this year
With the same logic, five years ago from this year, he must be 8x-1-5=8x-6
The answer should be 8x-6
To find the length of a square given the area, we just need to take the square root of the area given. The sqrt of 36 is 6, so each side is 6 inches. :)
Answer:
The complex number in the form of a + b i is 3/2 + i √3/2
Step-by-step explanation:
* Lets revise the complex number in Cartesian form and polar form
- The complex number in the Cartesian form is a + bi
-The complex number in the polar form is r(cosФ + i sinФ)
* Lets revise how we can find one from the other
- r² = a² + b²
- tanФ = b/a
* Now lets solve the problem
∵ z = 3(cos 60° + i sin 60°)
∴ r = 3 and Ф = 60°
∵ cos 60° = 1/2
∵ sin 60 = √3/2
- Substitute these values in z
∴ z = 3(1/2 + i √3/2) ⇒ open the bracket
∴ z = 3/2 + i √3/2
* The complex number in the form of a + b i is 3/2 + i √3/2
There is two event that needs to be made: 1. blue eyes, and 2. brown eyes. A spinner is made with a circle. A full circle has 360 degrees and it would be divided based on the probability of the event.
Blue eyes have 25% chance, so the angle of the spinner would be 25%*360°= 90°
Brown eyes have 75% chance, so the angle of the spinner would be 25%*360°= 270°
So, the 90° of the circle would be written as 1(blue eyes) and 270° of the circle will be written as 2(brown eyes).
