Answer:
6.05 miles
Step-by-step explanation:
When the question says "the longest distance is between the school and the park", that distance must be the hypotenuse since the hypotenuse is always longer than the legs. Therefore, the legs must be 3.4 and 5. Using the Pythagorean theorem to solve:
a² + b² = c²
(3.4)² + (5)² = c²
11.56 + 25 = c²
36.56 = c²
√36.56 = √c²
6.05 = c
Therefore, the distance from the school to the park is 6.05 miles.
Answer:
206 Cornish hens
169 turkeys
Step-by-step explanation:
Let c represent the number of Cornish hens sold. Then c-37 is the number of turkeys sold. The total sales would be ...
... c + (c-37) = 375
... 2c = 412 . . . . collect terms, add 37
... c = 206 . . . . Cornish hens sold
... (c-37) = 169 . . . turkeys sold
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<em>Comment on this type of problem</em>
Note that the solution to this problem is that the larger number (number of cornish hens) is half the sum of the total and the difference: (375+37)/2 = 206. This is the general solution for this type of "sum and difference" problem.
The larger contributor is half the total plus half the difference; the smaller contributor is half the total minus half the difference.
Cornish hens = (1/2)(375 +37) = 206
Turkeys = (1/2)(375 -37) = 169
The answer is B. Hope that helped.
Answer:
F(-3)=12
F(2)=7
F(0)=3
F(5)=28
Step-by-step explanation: