Answer:
28.57
Step-by-step explanation:
35-45 would be a 28.57 percent increase
It would be the last option, (5, -4)
3 days. If every day he runs 10 laps then that would be 4000 meters. 1 kilometer is equal to 1000 meters. That means everyday he runs 4 kilometers. Then after 3 days he would have ran 12 kilometers.
<h2>
Measure of the angle between their courses is 95°</h2>
Step-by-step explanation:
Speed of submarine 1 = 25 knots = 28.77 mph
Speed of submarine 2 = 20 knots = 23 mph
Time taken = 3 hours
Distance traveled by submarine 1 = 28.77 x 3 = 86.31 miles
Distance traveled by submarine 2 = 23 x 3 = 69 miles
Distance between them is 100 nautical miles = 115.08 miles
Refer the figure
By cosine formula we have
![cosB=\frac{a^2+c^2-b^2}{2ac}](https://tex.z-dn.net/?f=cosB%3D%5Cfrac%7Ba%5E2%2Bc%5E2-b%5E2%7D%7B2ac%7D)
a = 86.31 miles
b = 115.08 miles
c = 69 miles
Substituting
![cosB=\frac{86.31^2+69^2-115.08^2}{2\times 86.31\times 69}\\\\cosB=-0.0867\\\\B=94.98^0=95^0](https://tex.z-dn.net/?f=cosB%3D%5Cfrac%7B86.31%5E2%2B69%5E2-115.08%5E2%7D%7B2%5Ctimes%2086.31%5Ctimes%2069%7D%5C%5C%5C%5CcosB%3D-0.0867%5C%5C%5C%5CB%3D94.98%5E0%3D95%5E0)
Measure of the angle between their courses is 95°
Answer:
0
-------
-6
Step-by-step explanation:
y2-y1
---------
x2-x1
-4+4
-------
2-8
0
-----
-6