Step-by-step explanation:
Initial velocity(u) = 60 km/hr = 50/3 m/s
final velocity(v)= 0 (stops at rest)
acceleration(a) = -0.05 m/s²
display (s)=?
v²-u²=2as
0²- (50/3)= 2(-0.05)s
2500/9= 0.1s
s= 25000/9 m
Answer:
10. 7n - 1 < -8
Isolate the variable, n. Do the opposite of PEMDAS. Treat the < as equal sign, what you do to one side, you do to the other. First, add 1 to both sides:
7n - 1 (+1) < - 8 (+1)
7n < - 8 + 1
7n < - 7
Isolate the variable, n. Divide 7 from both sides:
(7n)/7 < (-7)/7
n < -7/7
n < -1
n < -1 is your answer.
11. 3 > -7v + 4v
Combine like terms, then isolate the variable, v. First, add -7v and 4v together.
3 > (-7v + 4v)
3 > (4v - 7v)
3 > (-3v)
Isolate the variable, v. Divide -3 from both sides. Note that since you are dividing a negative number, you must flip the sign:
(3)/-3 > (-3v)/-3
3/-3 > v
-1 < v
v > -1 is your answer.
~
6x
42/6 = 7 (valid), 18/6 = 3 (valid), 12/6 = 2 (valid)
7, 8, 9, 10, and 11 are all not divisible by 12, and 12 is not divisible by 18, so 6 is the highest number.
Also, each number has at least one x, so you can take one out.
Remaining=
6x (7 + 3x^2 + 2x^3)
Volume of a rectangular prism is l*h*w
1.2*3*4.5= 16.2
The answer is 16.2 cubic inches
Step-by-step explanation:
the angle of elevation of the sun is θ is related to the given sides of the right triangle (assuming the ground is horizontal and the flag pole is vertical) by tangent.
the shadow is adjacent to the angle while the flagpole is opposite to it.
so to find the angle of elevation:
arctan(20/8.9)
= 66.01 degrees
comment if you have any doubt or need further help.
