The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
<h3>How to determine the distance AC?</h3>
To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
brainly.com/question/6617153
5.77
By 0.07
Because if you subtract 0.07 from 5.77, you get 5.7, so it must be smaller.
Answer:
1250 visitors per day
Step-by-step explanation:
Number of visitors per year = 3,000,000
Number of days open per year = 300
Number of hours = 9a.m to 5pm = 8 hours
Number of visitors per hour :
Number of visitors per year / (number of days per year * number of hours per day)
3000000 / (300 * 8)
3000000 / 2400
= 1250 visitors per day
Answer:
Total number of possible outcomes in the sample space will be 
Step-by-step explanation:
Given that,
A spinner is divided into fourths and numbered 1 through 4.
Jake spins the spinner and tosses a coin.
So,
Spinner has divided in to fourths means four parts of spinner such as : 
possible outcomes when a coin is tossed : 
Now, when both spinner spins and coin tossed. possible outcomes are
Thus, these are the possible outcomes of given situation.
therefore,
Total number of possible outcomes in the sample space will be .
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
