Let "x" denote the unit count.
5x represents the total tomato plants in Inessa's garden.
6x signifies the number of tomato plants in Ralph's garden.
According to the prompt, half of Inessa's total tomato plants (1/2 x (5x)) are transferred to Ralph's garden.
Consequently, Ralph has 850 tomato plants in total after this transfer.
By using this information, we arrive at the equation we need to solve:
(1/2)(5x) + 6x = 850
Upon finding "x", we determine that:
"x" = 100
Returning to our original context, Ralph initially had (6x) tomato plants, so with "x" equal to 100, we multiply 6 by 100.
This analysis leads us to the conclusion:
Ralph initially had 600 tomato plants.
I hope this clarifies things!:D
Response:
Detailed explanation:
The length of the pool is longer than its width by 8 meters.
If we designate L as length and W as width, we can express this as:
L = 8 + W
We also know that the area amounts to 105 m squared.
Note:
Area of a Rectangle = Length x Width
Thus, 105 = (8 + W) x W

To adjust the equation, subtract 105 from both sides:

Result:
20.19°
Detailed explanation:
Refer to the attached diagram related to the question. We need to determine <CAB
Utilizing the sine rule on triangle ABC:

cross-multiply


Thus, the angle <CAB measures 20.19°
2ab x cos(C) = 7 since
a^2 + b^2 - 2ab x cos(C) = c^2
2ab x cos(C) = a^2 + b^2 - c^2
2ab x cos(C) = 2^2 + 2^2 - 1^2
2ab x cos(C) = 7