1. A. 550 meters.
this is because 2.5 km = 2500 meters, since there are 1000 meters in one kilometer.
therefore, 2500 - 1950 = 550 meters.
2. B. 126 inches.
this is because there are 12 inches in one foot, so we multiply 12 by 10 since there are 10 full feet. this leaves us with 120. then, we add half a foot, which is 6 inches. therefore, it is 126 :)
Answer:
, explanation for how to get there
Step-by-step explanation:
If we have the equation
, we want to isolate c on one side and find it's value.
Let's first divide both sides by 4.
![4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c](https://tex.z-dn.net/?f=4%7C3c%2B5%7C%5Cdiv4%20%3D%2016c%5Cdiv4%5C%5C%5C%5C%7C3c%20%2B%205%7C%20%3D%204c)
Now let's solve for the absolute value. We know that:
![3c + 5 = 4c](https://tex.z-dn.net/?f=3c%20%2B%205%20%3D%204c)
or
![3c + 5 = -4c](https://tex.z-dn.net/?f=3c%20%2B%205%20%3D%20-4c)
Possibility 1:
![3c + 5 = 4c](https://tex.z-dn.net/?f=3c%20%2B%205%20%3D%204c)
Subtract 3c from both sides:
![5 = c](https://tex.z-dn.net/?f=5%20%3D%20c)
Possibility 2:
![3c + 5 = -4c](https://tex.z-dn.net/?f=3c%20%2B%205%20%3D%20-4c)
Add 4c to both sides:
![7c + 5 = 0](https://tex.z-dn.net/?f=7c%20%2B%205%20%3D%200)
Subtract 5 from both sides:
![7c = -5](https://tex.z-dn.net/?f=7c%20%3D%20-5)
Divide both sides by 7:
![c = \frac{-5}{7}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B-5%7D%7B7%7D)
Plugging both of these values into the equation, we can see that only 5 works.
Hope this helped!
5π/12 = (5 · 180°) : 12 = 75°
cos 75° = cos ( 45° + 30° )= cos 45° cos 30° - sin 45° sin 30° =
=√2/2 * √3/2 - √2/2 * 1/2 =
![\frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4}= \frac{ \sqrt{6} - \sqrt{2} }{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20%7D%7B4%7D%20-%20%5Cfrac%7B%20%5Csqrt%7B2%7D%20%7D%7B4%7D%3D%20%5Cfrac%7B%20%5Csqrt%7B6%7D%20-%20%5Csqrt%7B2%7D%20%7D%7B4%7D%20%20)
=(2.4495 - 1.4142): 4 = 0.258825
Answer:
I have graphed them on desmos and given you three options to choose from:
Step-by-step explanation:
1. with lines (complete shape)
2. with lines (incomplete shape)
3. without lines
Hope this helps!
Answer:
2.548 pascal
Step-by-step explanation:
force=mass×acceleration due to gravity
force=39×9.8
pressure(p)=force/area
p=382.2/150
p=2.548 pa