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Answer:
A=3, B=4, C=-5
Step-by-step explanation:
So A represents the amplitude, which is the distance between the midline (C), the middle of the graph, and the maximum (or minimum). B is the distance of the period of the graph. In this case, we see that the midline is C=-5 because that is the halfway point of the sine function. We also see that the period distance is B=5-1=4, so our period would be 2π/4 or π/2. Our amplitude would be A=3 because |a|=|-5-(-2)|=|-5+2|=|-3|=3. Observe the graph to see this visually.
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
Answer:
1/2
Step-by-step explanation:
Pete found 5/6 of a party sand which in the refrigerator. He took 1/2 of the 5/6 of the sand which to his neighbors.
This is calculated as:
1/2 × 5/6
= 5/12
Hence, he took 5/12 of the sand
How much of the original sand which did pete take to his neighbors.
Let the original sand be represented as 1
Hence:
5/6 = 5/12 sand
1 = x
Cross Multiply
5/6x = 1 × 5/12
x = 5/12 ÷ 5/6
x = 5/12 × 6/5
x = 1/2
Therefore, pete took 1/2 of the original sand to his neighbors.
Answer:
AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC
So we have two sides and included angle equal.
- <em>If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.</em>
According to the rule above we can say triangles ΔABD ≅ ΔCBD