The toy rocket hits the ground when h(t) = 0.
So, h(t) = 0 = -9t^2 + 81.
Solving the equation,
-9t^2 = -81
Dividing by -9
t^2 = 9
Taking the square root.
t = 3
The answer is 3 seconds.
Answer:
They meet a line. Therefore, if two planes cut one another, then their intersection is a straight line.
Step-by-step explanation:
Answer: 35 additional teachers are needed
-------------------------------------------------
-------------------------------------------------
Explanation:
We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio
2470/x = 26/1
where x is the number of teachers. Cross multiply and solve for x
2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95
So we have 95 teachers currently
-------------
Let y be the new number of teachers needed to bring the ratio down to 19:1
Using a similar idea as done above, we would have this ratio
2470/y = 19/1
Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130
So we'll need 130 teachers to have the ratio be 19:1
The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
Answer:24ounces
Step-by-step explanation:
Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.
Answer:
A 175/979 = M
Step-by-step explanation:
Si Matusalén vivió 979 años y Abraham vivió 175 esto quiere decir que abraham vivio menos años que Matusalén.
Por lo que la fracción va a tener que ser menor que 1 ya que al multiplicarla por la edad de Matusalén nos tiene que dar la de Abraham.
Tenemos que encontrar una fraccion que multiplicada por 979 nos de 175.
979 * X = 175
Tenemos que despejar la x y encontraremos el valor de la fraccion.
979 * X = 175
X = 175/979
Nos fijamos si se puede simplificar, no se puede asique este es el resultado final.