Answer:
The soil will occupy in 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.
Step-by-step explanation:
The volume of a square based pyramid = V = a²h/3
a = base edge or side length = 36cm
h = height = 36cm
V = 36² × 36/3
V = 15552cm³
Luis wants to fill the pot with soil so that the soil takes up 75 % the pot's volume.
75% of the pot's volume =
75/100 × 15552cm³
= 11664cm³
The soil will occupy 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.
[x-1]=5x+10
We have two equations:
1) x-1=5x+10
x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4
2) x-1=-(5x+10)
x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2
we have two possible solutions:
solution₁; x=-11/4
solution₂: x=-3/2
we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4 - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4 + 10
[-15/4]=(-55+40) /4
15/4≠-15/4 This solution don´t work.
2) x=-3/2
[x-1]=5x+10
[-3/2 - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2 + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.
Therefore:
Answer: x=-3/2.
The answer is C 102 degrees. It is so because a triangles 3 angles add up to 180 degrees. If you know 2 of your angles, you would add them together and subtract that by 180 to find your last angle.
Answer:
0.3 hour or 18 minutes
Step-by-step explanation:
How long means, we are to calculate the time(t)
Hence,
Speed × time = Distance
For Neil , 11 × t
For Charlie = 9 × t
11t + 9t = 6
20t = 6
t = 6/20
t = 0.3 hour
Converting to minutes
1 hour = 60 minutes
0.3 hour = x
x = 0.3 × 60 minutes
x = 18 minutes
Therefore, it will take 0.3 hour or 18 minutes for these two to meet.
Answer:
The answer to your question is (7, 0)
Step-by-step explanation:
Data
A (7, 3)
B (0, 7)
C (7, 0)
D (3, 7)
Process
1.- Substitute each point in the equation to find the answer
Point A y - 3 = m(x - 7)
Point B y - 7 = m(x - 0)
Point C y - 0 = m(x - 7)
Point D y - 7 = m(x - 3)
2.- Conclusion
The only possibility is that m = 3 and the answer will be the third point (7,0)
