Answer: 18 people per minute
Step-by-step explanation: 162 divide by 9 equals 18
Answer:
Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.
Step-by-step explanation:
By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.
Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.
By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.
Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625
y^2-y^2+0.5y+2.25–4.0625=0
0.5y- 1.8125=0
0.5y=1.8125
y=1.8125/0.5= 3.625
Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder
Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625
L^2=13.140625–0.90625+4.0615=15.390625
L= (15.390625)^1/2= 3.92 meters length of ladder
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>
Answer:
two (n = 4, and n = -1)
Step-by-step explanation:
Let's solve it as follows:
First, we can divide out the common factor of 3 from each side, to get:
n(2n-8) = 8 -2n
Next, we expand, and move all the terms over to the right hand side (so that we have 0 on the LHS - as this is how we will want to solve the quadratic equation):
2n^2 - 8n - 8 +2n = 0
2n^2 - 6n - 8 = 0.
We also see we can further simplify by dividing out the factor of 2, to get:
n^2 -3n -4. = 0
Next, as this is a quadratic, the usual next step is to factorise, to get:
(n-4)(n+1) = 0
So we see that n = 4 and n = -1 are the two solutions.
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
A graphing calculator shows the time to be 7.884 seconds.
_____
The quadratic formula tells you the time is
.. t = (-12 -√(12^2 +4*16*900))/(-32) = (3/8)*(1 +√401) . . . seconds
