A^2 + b^2 = c^2
(500)^2 + (1200)^2 = c^2
1,690,000 = c^2
take the square root of 1,690,000
Answer is 1,300 feet
Answer:
9
Step-by-step explanation:
n2-27=6n
Than n (exponet) 2 - 27 - 6n = 0
Now factor (n-9)(n+3)=0
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Here we must see in how many different ways we can select 2 students from the 3 clubs, such that the students <em>do not belong to the same club. </em>We will see that there are 110 different ways in which 2 students from different clubs can be selected.
So there are 3 clubs:
- Club A, with 10 students.
- Club B, with 4 students.
- Club C, with 5 students.
The possible combinations of 2 students from different clubs are
- Club A with club B
- Club A with club C
- Club B with club C.
The number of combinations for each of these is given by the product between the number of students in the club, so we get:
- Club A with club B: 10*4 = 40
- Club A with club C: 10*5 = 50
- Club B with club C. 4*5 = 20
For a total of 40 + 50 + 20 = 110 different combinations.
This means that there are 110 different ways in which 2 students from different clubs can be selected.
If you want to learn more about combination and selections, you can read:
brainly.com/question/251701
<h2>
Answer: (x = 1)</h2>
Step-by-step explanation:
We are given the equation <em>6(5x - 3) = 1/3(24x + 12)</em>, and we must find the value of <em>x</em>.
The first step is to distribute. Distribute the <em>6 </em>to <em>5x </em>and <em>-3</em>, and distribute<em> 1/3 </em>to <em>24x </em>and <em>12</em>. This give us the equation <em>30x - 18 = 8x + 4</em> to work with.
The next step is to get <em>x </em>by itself. In order to do this, subtract 18 from each side of the equation. This gives get's rid of the <em>-18</em> and get's <em>x </em>by itself on one side of the equation and gives us the equation <em>30x = 8x +22</em>.
Now that x is by itself on one side of the equation, get 22 by itself on the other side of the equation. The way to do this is to subtract 8x from each side. This gives us the equation <em>22x = 22</em>.
Divide both sides by 22 and get the equation <em>x = 1</em>






<em>Hope that this helps and clears it up! Have a great day!</em>