Answer:
60 yards
Step-by-step explanation:
300 = 2(30 + w) + 2(w)
300 = 60 +2w + 2w
300 = 60 + 4w
240 = 4w
60 = w
The circumference, C, of a given circle may be calculated through the equation,
C = 2πr
where r is the radius.
Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>
Thus, the answer is this item is the second choice.
Answer:
Option A is the correct choice.
Step-by-step explanation:
Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.
We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.
Further, the company plan to make $300. We can represent this information as:

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:


Therefore, our desired system of equation will be:

Answer:
△NPK≅△HBG; and △KNP≅△GHB
Explanation:
Using the given congruence statement, we can determine corresponding pieces of the triangles:
P corresponds to B; K corresponds to G; and N corresponds to H.
This means that △NKP≅△HGB, not HBG.
△KPN≅△GBH, not BHG.
△NPK≅△HBG; this is correct.
△KNP≅△GHB; this is correct.