Answer:
20°
Step-by-step explanation:

Answer:
KM = 10.68; angle K= 55; angle M=35
Step-by-step explanation:
Using Law of Cosine, you can find KM. Then using Law of Sines, you can find the angle of M. Find the sum of angle M and 90. Then subtract the total of that to 180 to fine angle K. (sidenote: your angle K should be bigger then angle M since the side measurement of K is larger than M.)
Answer:
y = 3/2x -14
Step-by-step explanation:
do the inverse of -2/3 what is 3/2
and now sole the equation of y+8 = 3/2(x-4)
distribute 3/2 ---> y+8 = 3/2x - 8
subtract 8 from both sided getting you y=3/2x-14
You would use the Pythagorean there on which is a^2+b^2=c^2, from there you plug int what they gave you and solve for b, and b=12
Answer:
The total distance traveled by the particle is S = 30.
Step-by-step explanation:
Given that velocity,
v(t) = 2t + 1
To find the total distance travel, we integrate the velocity function, v(t), to obtain the distance function s(t), and evaluate the resulting distance at the interval given. That is at t = 0 to t = 5.
Integrating v(t) with respect to t, we have
s(t) = t² + t + C.
At t = 5
s(5) = 5² + 5 + C
= 25 + 5 + C
= 30 + C
At t = 0
S(0) = 0 + 0 + C
= C
The required distance is now
S(5) - S(0)
= 30 + C - C
= 30.