Answer:
90%
Step-by-step explanation:
So, in order to get this answer, you must divide the amount of students that filled the theatre, which is 4,500, by the amount of seats at the theatre, which is 5,000. You can eliminate the two zeros at the end of each number, which will leave you with 45/50. 45 divided by 50 equals 0.9. You can then multiply 0.9 by 100, because of the 2 zeros eliminated earlier. This will leave you with 90%.
(3,-5)(-8,4)
slope(m) = (4 - (-5) / (-8-3) = (4 + 5) / -11 = -9/11
point slope form : y - y1 = m(x - x1)
there will be 2 answers because there is 2 sets of points
using (3,-5)
y - (-5) = -9/11(x - 3) =
y + 5 = - 9/11(x - 3) <=== here is one
using (-8,4)
y - 4 = -9/11(x - (-8) =
y - 4 = -9/11(x + 8) <== here is the other one
Answer:
Area of new garden = 800 ft²
Step-by-step explanation:
Given:
Old fencing = Parameter of old garden = 60 ft
Area of old garden = 200 ft
Find:
Area of new garden if Parameter of new garden is 120 ft
Computation:
Assume;
Length of old garden = l
Width of old garden = b
So,
2[l + b] = 60
l + b = 30
l = 30 - b
Area of old garden = 200 ft
l x b = 200
So,
(30 - b)b = 200
b² - 30b + 200 = 0
b² - 20b - 10b + 200
b(b-20) - 10(b-20)
(b-20)(b-10)
So,
Width of old garden = 10 ft
Length of old garden = 20 ft
New parameter is double
So,
Width of new garden = 10 x 2 = 20 feet
Length of old garden = 20 x 2 = 40 feet
Area of new garden = l x b
Area of new garden = 20 x 40
Area of new garden = 800 ft²
Answer:
Step-by-step explanation:
so when the height is zero, that's when the rocket hits the ground. The equation will have two zeros, but one would be for a negative time, or before the rocket is launched. so we only one the one after the rocket is launched.
use the quadratic formula to solve for x ( which is time)
-124 +- sqrt [
- 4*(-16)*(127) ] / 2 (-16)
-124 +- sqrt [15376 + 8128 ] / -32
-124 +- sqrt [23504 ] / -32
-124 +- 153.310 / -32
if we take the positive part it will become the negative time so skip that one try the negative part 1st
-124 - 153.310 / -32
-277.310 / -32
8.6659 seconds to hit the ground. ( time of flight) aka TOF
8.67 seconds ( rounded to nearest 100th)
2y/5 is the same thing as 2/5 times y so
14=2/5(y) then you divide both sides by y and you get
14/y=2/5 then from there multiply both sides by 1/14 to get
y=0.03