<h3>3 answers: Choice A), Choice C), Choice D)</h3>
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Explanation:
We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:
b-a < c < b+a
3-3 < c < 3+3
0 < c < 6
The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.
Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.
Answer:
$55.20
Step-by-step explanation:
Create a proportion where x is the cost of 12 lbs of walnuts:
= 
Cross multiply and solve for x:
0.75x = 41.4
x = 55.2
So, for 12 lbs of walnuts, it will cost $55.20
The answer is choice A, a 3.5% increase.
12/15 = 80%
13/17 = 76.47%
80% - 76.47% = 3.5%
Answer:
11/7 feet
Step-by-step explanation:
Perimeter of a circle = pi
Semicircle would be 1/2 of pi
1/2 × 22/7 × 1
You must divide by one to get the value of 1/2
11/7 is the answer
