3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5
1 answer:
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Question :
The inequality 10.45b + 56.50 < 292.67 is used to find the number of boxes (b) that can be loaded on a truck without exceeding the weight limit of the truck. The solution is written as {b | b < 22.6}. Which statement best describes the meaning of the solution?
The truck can hold more than 22 boxes.
The truck can hold more than 23 boxes.
The truck can hold up to 22 boxes.
The truck can hold up to 23 boxes.
Answer:
Option C: The truck can hold up to 22 boxes.
Explanation:
Given that the inequality is is used to find the number of boxes can be loaded on a truck without exceeding the weight limit of the truck.
To determine the number of boxes, let us solve the inequality.
Thus, we have,
Subtracting both sides by 56.50, we get,
Dividing both sides by 10.45, we have,
This means that the number of boxes that can be loaded on a truck without exceeding the weight limit of the truck should be lesser than 22.6
Therefore, the truck can hold up to 22 boxes.
Hence, Option C is the correct answer.
We have two sides and one angle opposite to one of the known sides.
Begin with applying the Law of Sines to find angle A:
= <span>
Then, solve for sin A:
</span>sin A =
Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Begin with applying the Law of Sines to find angle A:
Then, solve for sin A:
</span>sin A =
Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.