Answer:
3+-3
Step-by-step explanation:
To compare fractions with like numerator and different denominators, draw out the numerator and denominators to figure it out. So if you were to figure out 6/10 and 6/17, draw out the denominators and shade in how many of the numerators. Keep in mind to make sure you shade in the same area on the other fraction or else you will get confused.
(1, 2)
(2, 4)
(3, 6)
(4, 8)
(5, 10)
2a = b is the relationship. Double a to get b.
Pints | Cups
1 2
2 4
3 6
4 8
5 10
There are 2 cups in each pint, so the table shows the relationship between 1-5 pints and cups.
<h3><em><u>Answers With Steps:</u></em></h3><h3>Question 1:</h3>
For the first problem, understand that you are solving for the area of a circle. The equation for the area of a circle is pi r². By using the leash length as the radius (r), you can get the answer. (The leash length is 3 meters long.)
<em>Question 1 Steps:</em>
pi 3² ---> pi * 9 ---> ≈28.27
<em>Question 1 Answer:</em>
It would have about 28.27 meters² of playable space.
<h3>Question 2:</h3>
For the second problem, it would be much the same as to the first question. There is the same objective to find the area of the circle. Along with that, it gives us a length to work with. This time it is the sprinkler's reach, which would be the radius, or "r" in the equation.
<em>Question 2 Steps:</em>
pi 5² ---> pi * 25 ---> ≈78.54
<em>Question 2 Answer:</em>
The sprinkler would have about 78.54 feet² of space that it can reach.
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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