Answer:
≈ 39.7ft
Step-by-step explanation:
The Pythagorean theorem:
(a and b are the two shorter legs and c is the largest leg, which is also the opposite side of the right angle)
First, the value of a and c is given. So, we can go ahead and plug those value in and then solve for b.
To find b, we have to get it by itself. So we subtract 2025 from both sides then square root both sides. Resulting in:
≈ 39.7ft
Answer:
128 miles
Step-by-step explanation:
5 + 3 = 8, 32 / 8 = 4, 4 x 4 = 16
5 x 16 = 80
3 x 16 = 48
80 + 48 = 128
Answer: step by step equations
Step-by-step explanation:
Pet show has stations for each animal. There are 5 rabbits, 7 cats, 8 dogs, and 4 hamsters.
1. How many cats need to be added to make the probability 1/2.
For the probability to be 1/2, we need there to be 1 cat for every 2 animals. There are 5+8+4 = 17 other animals besides cats so we need to increase the amount of cats to 17 so that it is 1/2 of the total. We already have 7 so we need 17-7 = 10 more cats.
2. Assume we added the cats. What's the probability of picking a dog?
Since we added the cats, the total number of animals is now 17+17 = 34
There are 8 dogs, so the probability of picking a dog will be 8/34 which will reduce to 8/34 = 4/17 (you will pick 4 dogs every 17 attempts).
3. No more animals added. What is the probability of picking a rabbit or hamster?
Total rabbits and hamsters is 5+4 = 9 so there is a 9/34 chance of picking a rabbit or hamster. (you will pick a rabbit or hamster 9/34 attempts).
4. What is the probability of NOT picking a goldfish?
Be careful here... the question is what is the probability that you won't pick a goldfish? Well there are no goldfish, so there is a 34/34 (100%) chance that you won't pick a goldfish. You will NOT pick a goldfish 34 out of 34 times.
Answer: 
Step-by-step explanation:
<h3>
The missing graph is attached.</h3><h3>
And the options are:</h3>
By definition, a relation is a function if and only if each input value has one and only one output value.
It is important to remember that the input values are the values of "x" and the output values are the values of "y".
Observe the graph attached.
You can identify in the graph that the function f(x) and the function g(x) intersect each other at the following point:
Where the x-coordinate (input value) is:
And the y-coordinate (output value) is:
Therefore, you can conclude that the input value that produces the same output value for the two functions on the graph, is:
