Answer:
b = -1/10.
Step-by-step explanation:
(2i/2+i)-(3i/3+i)
= 2i(3 + i) - 3i(2 + i) / (2 + i)(3 + i)
= 6i + 2i^2 - 6i - 3i^2 / (2 + i)(3 + i)
= (-2 + 3) / (6 + 5i - 1)
= 1 / (5 + 5i)
Now we multiply top and bottom by 5 - 5i :
= 5 - 5i / (5 + 5i)(5 - 5i)
= 5 - 5i / 25 -25i^2
= 5 - 5i / 50
= 1/10 - 1/10i
Answer:
2100 ft²
Step-by-step explanation:
1 yard is 3 ft, so 70 yards is (70 yd)×(3 ft/yd) = 210 feet.
The area of the pavement is the product of its length and width:
area = (210 ft)(10 ft) = 2100 ft²
_____
If you keep the units with the numbers as I have done here, you find that the product of (10 ft) and (70 yd) does not have the units of ft². Rather, the units are ft·yd, which is <em>not what the problem is asking for</em>.
Answer:
3 hours
Step-by-step explanation:
Given that:
Time taken by Kalon = 4 hours
Time taken by Marna =?
Time taken if the work together = 1 5/7 hours
Kalon's rate = 1/ time =. 1/4
Kalon + Marna = 1 ÷ 1 5/7 = 7/12
Hence,
Marna's rate = 7/12 - 1/4
Marna's Rate = (7 - 3) / 12 = 4/12 = 1/3
Marna's rate = 1/3
Hence, time it takes Marna = reciprocal of rate = 1÷ 1/3 = 1 * 3/1 = 3 hours
Answer:
52 degrees
Step-by-step explanation:
Every triangles angles sum up to 180 degrees
83+45=128
180-128=52 degrees
14 because he didn't gather 28 or more he gathered only 14
