Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is 35y4 – 65x3 inches. What is the
2 answers:
Answer:
Option (4) is correct.
The length of one side of the sandbox is inches.
Step-by-step explanation:
Given : Joan is building a sandbox in the shape of a regular pentagon. The perimeter of the pentagon is inches.
We have to find the length of one side of the sandbox.
Since, given sandbox is in shape of a regular pentagon.
So, Perimeter of pentagon is 5 times sides.
Perimeter of pentagon = 5 × sides
Given Perimeter is inches.
Thus, = 5 × sides
Divide both side by 5, we get,
= sides
Thus, The length of one side of the sandbox is inches.
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Answer:
The histogram for the given data is shown below.
Step-by-step explanation:
In a dot plot, the dots above a point represent the frequency of that number.
From the given dot plot we can make a frequency table as shown below.
Number Frequency
8 0
10 1
12 3
14 3
16 5
18 4
20 2
22 1
24 1
26 0
In histogram, each bar above a number represents the frequency of that number.
The histogram for the given data is shown below.
First, we need to solve the differential equation.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.
This a separable ODE. We can rewrite it like this:
Now we integrate both sides.
We get:
When we solve for y we get our solution:
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.