Answer:
Step-by-step explanation:
The position function is
and if we are looking for the time t it takes for the ball to hit the ground, we are looking for the height of the ball when it is on the ground. Of course the height of anything on the ground is 0, so if we set s(t) = 0 and solve for t, we will find our answer.
and factor that however you are currently factoring in class to get that
t = -.71428 seconds or
t = 1.42857 seconds (neither one of those is rational so they can't be expressed as fractions).
We all know that time will never be a negative value, so the time it takes this ball to hit the ground is
1.42857 seconds (round how you need to).
The surface area of the triangle is 1/2 * 6*8 so it is 24 sq units
The whole thing is 24* 7.5 so it is 180 sq units
Answer: C
Step-by-step explanation:
The equation is in y=mx+b format. The y is the final amount that you will have to pay. The m in this case is the amount of money that you are paying for each individual month (which is $34.99). The x in this case is the number of months you are paying for (which is 1). And b is the starting fee that you have to pay in order to get a membership in the first place (but will not have to pay after the first month). Thus, seeing as there is 1 month's worth of payment and a starting fee tagged on, y would equal the average total cost for the first month of a gym membership.
Answer: 5/18
Step-by-step explanation:
The sample space when two 6- sided dice are rolled is given below:
(+) 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
The total sample space is 36.
Sum greater than 8 are : {9,10,11,12}
which are 10 in number:
Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :
number of the sum greater than 8 / Total sample space
That is ;
P(sum greater than 8) = 10/36
P(sum greater than 8) = 5/18
Answer:
The two cars will be almost 188 miles far from each other.
Step-by-step explanation:
Travel Time for Car 1 = t = 3.5 hours
Travel time for Car 2 = t-1 = 3.5 - 1 = 2.5 hours
Average speed of car 1 = 40 mph
Average speed of car 2 = 50 mph
Distance traveled by Car 1 = 40*3.5 = 140 miles
Distance Traveled by Car 2 = 50*2.5 = 125 miles
As both the roads are at a 90 degree angle. The path of the two cars and the joining line of their final position forms a right angle triangle where:
altitude = a = 140
base = b = 125
Distance of cars after 3.5 hours = c = ?
According to Pythagoras theorem:
c^2 = a^2 + b^2
c^2 = 140² + 125²
c² = 19600+15625
c = √35225
c = 187.68
Almost 188 miles.
