Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
![\frac{AD}{AC} = \frac{AE}{AB}](https://tex.z-dn.net/?f=%20%5Cfrac%7BAD%7D%7BAC%7D%20%3D%20%5Cfrac%7BAE%7D%7BAB%7D%20)
Plug in the values
![\frac{9}{9 + DC} = \frac{12}{12 + 4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B9%20%2B%20DC%7D%20%3D%20%5Cfrac%7B12%7D%7B12%20%2B%204%7D%20)
![\frac{9}{9 + DC} = \frac{12}{16}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B9%20%2B%20DC%7D%20%3D%20%5Cfrac%7B12%7D%7B16%7D%20)
![\frac{9}{9 + DC} = \frac{3}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B9%20%2B%20DC%7D%20%3D%20%5Cfrac%7B3%7D%7B4%7D%20)
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
Answer:
1. Multiply like the - isn't there
2.add it
3. Idk I just out something XD
Step-by-step explanation:
When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy.
<span>KE = EPE </span>
<span>1/2mv^2 = 1/2kx^2 </span>
<span>change the speed into m/s </span>
<span>50 km/hr = 13.9 m/s </span>
<span>1/2(1200)(13.9)^2 = 1/2k(2.2)^2 </span>
<span>now you do the math to solve for k.
k= 115926/2.42
K= 47903.30</span>
A, because 2+6= 8 and on the coordinate plane -8 is 6 spaces away from -2 on the x axis
Eh, here's my best try for a table:
<u>Like tv</u> <u> don't like tv</u> <u>total</u>
<u>Like reading:</u> 70 10 80
<u>Don't like read</u>. <u>20</u> <u>30</u> <u>50 </u>
<u>total </u> 90 40 130
The percentage of students that like tv as well as reading is- 70 divided by 130 which gives you .538 which in percentage is 53.8%.
The probability of a student that does not prefer to watch tv as also does not like to spend their time reading is 30 over 40 which can be simplified or reduced to 3 over 4. [30/40 reduced to 3/4]
Hope this somehow helped you :)