94.1224489795918367 is the answer to your question
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Answer: Choice C) </h3><h3>
The system can only be independent and consistent</h3>
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Explanation:
Let's go through the answer choices
- A) This isn't possible. Either a system is consistent or inconsistent. It cannot be both at the same time. The term "inconsistent" literally means "not consistent". It's like saying a cup is empty and full at the same time. We can rule out choice A.
- B) This is similar to choice A and we cannot have a system be both independent and dependent. Either a system is independent or dependent, but not both. Independence means that the two equations are not tied together, while dependent equations are some multiple of each other. We can rule out choice B.
- C) We'll get back to this later
- D) The independence/dependence status is unknown without the actual equations present. However, we know 100% that this system is not inconsistent. This is because the system has at least one solution. Inconsistent systems do not have any solutions at all (eg: parallel lines that never cross). We can rule out choice D because of this.
Going back to choice C, again we don't have enough info to determine if the system is independent or dependent, but we at least know it's consistent. Consistent systems have one or more solutions. So part of choice C can be confirmed. It being the only thing left means that it has to be the final answer.
If it were me as the teacher, I'd cross out the "independent" part of choice C and simply say the system is consistent.
The correct answer is <span>1 and 1/2
Hope I helped</span>
Answer:
E, 297.1
Step-by-step explanation:
First, find the area of the triangle using the formula a= (bh) / 2
Base x height would be 16 x 12, which is 192
192 / 2 is 96 sq meters
Then, find the area of the circle using the formula a= Pi (r^2)
If the diameter is 16, the radius would be 8 because you divide by 2
8^2 is 64, 64 times Pi is approximately 201.1
Finally, add the areas together, 96 + 201.1 is 297.1 or E
9514 1404 393
Answer:
8) 42 in²
9) 33 cm²
10) 112 yd²
Step-by-step explanation:
8) The area is given by the formula ...
A = 1/2(b1 +b2)h
A = (1/2)(9 in +5 in)(6 in) = 42 in²
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9) The area is half the product of the lengths of the diagonals.*
A = 1/2(d1)(d2)
A = 1/2(6 cm)(11 cm) = 33 cm²
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10) As in the previous problem, ...
A = 1/2(14 yd)(16 yd) = 112 yd²
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* This formula works for any quadrilateral with perpendicular diagonals.
