Hi!
Rules for solving 30-60-90 triangles are as follows:
* The hypotenuse is double the short leg.
* The short leg times √3 is the long leg
To solve then, we divide 4√21 by √3 and get 4√7. That is x, and to get y we multiply by 2. That is 8√7.
Hope this helps! :D
Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.
the condition says that x-y = 1 or x-y = -1.
so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.
let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the 2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.
the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.
Answer:
<h3>Surface Area = 1,256 cm</h3>
<u>Solution:</u>
formula: Surface Area of a Sphere: 4π · r²
Surface area = 4π · r²
SA = 4(3.14) (10)²
SA = (12.56)(100)
SA = 1,256
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />
Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.
Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.
Then, you can represent the number of hours he worked as a waiter this month with this equation:
Since he earns $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:
Since , you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.
This is:
Answer:
The answer is 4 cm
Step-by-step explanation:
The answer is 4 cm because the formula for a cone is V=π r^2 h/3, and the formula for a cylinder is V=π r^2 h, and the cone's volume is V≈301.59, and, a cylinder with
r=4 and h=6 is V≈301.59
Therefore the answer is
4 cm
I hope this has satisfied you.
