What is the difference between rational and irrational Numbers ?
1 answer:
You might be interested in
Answer: x = 6
Step-by-step explanation:
Because we are given that the two figures are already similar, we can set up a proportional relationship to determine the value of x. Since the larger rectangle has a width of 21 and the smaller rectangle has a width of 7, those values can be used as the numerators in the proportion. Since the larger rectangle's length is x plus the additional 3 units on the smaller rectangle, x+3 and 3 can be used as the denominators in the proportion.
Next, we set up the proportion as follows:
Then, you cross multiply to get the equation:
After solving down algebraically, you get the value of x to be 6.
I hope this helps!
Answer:
around 33.51
Step-by-step explanation:
Hello! :)
Let’s start with the basics:
<u><em>How to Find the Volume of a Sphere:</em></u>
Formula: V= 4/3r^3, which means the volume is 4/3 times the approximation of pi (3.14 or 22/7) time the radius with an exponent of 3.
Now that we know how to find the volume of a sphere, let’s solve the actual problem :D
The diameter is 4. We have to find the radius to find a volume of a sphere.
The radius is the diameter divided by 2; <u>that makes our radius, 2.</u>
So, V= 4/3(2)^3
Let’s solve the exponent first. 2^3= 2(2)(2) which is 8.
Now, you can either solve 4/3 times 8 first, or 4/3 times pi. I’m going to solve 4/3 times 8 to make it a little bit easier.
4/3 times 8= 32/3 which is around 10.7 (10.6667).
Now, let’s do 10.7 times pi. (I’ll be using 3.14 as the approximation of pi.)
10.7 x 3.14= 33.598 (actual answer using 10.6667 is 33.51).
And there you go! I hope this helps, let me know if you have any questions/I did anything wrong. Good luck! :D