The town park is a rectangular strip of land with a width of 1/2 mile and an area of 1/8 square mile. How long is the town park?
2 answers:
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Answer:
Step-by-step explanation:
Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.
If the weight of an alloy = x kgs
Then weight of copper =
=
And the weight of zinc =
=
If the weight of zinc = 31.5 kg
31.5 =
x =
x = 72 kgs
Therefore, weight of copper =
= 40.5 kgs
2). i). 2 : 3 =
4 : 5 =
Now we will equalize the denominators of each fraction to compare the ratios.
=
Since,
Therefore, 4 : 5 > 2 : 3
ii). 11 : 19 =
19 : 21 =
By equalizing denominators of the given fractions,
And
Since,
Therefore, 19 : 21 > 11 : 19
iii).
=
Now we equalize the denominators of the fractions,
And
Since
Therefore, will be the answer.
IV).
Similarly,
By equalizing the denominators,
Similarly,
Since
Therefore,
V). If a : b = 6 : 5
And b : c = 10 : 9
Since a : b = 12 : 10
And b : c = 10 : 9
Since b = 10 is common in both the ratios,
Therefore, combined form of the ratios will be,
a : b : c = 12 : 10 : 9
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.