Answer:
The height of the tank in the picture is:
Step-by-step explanation:
First, to know the height of the tank, we're gonna change the unit of the volume given in liters to cm^3:
- <em>1 liter = 1000 cm^3</em>
So:
- <em>1.2 liters = 1200 cm^3</em>
Now, we must calculate the height of the tank that we don't know (the other part that isn't with water), to this, we can use the volume formula clearing the height:
- Volume of a cube = long * wide * height
Now, we must clear the height because we know the volume (1200 cm^3):
Height = volume of a cube / (long * wide)
And we replace:
- Height = 1200 cm^3 / (12 cm * 8 cm)
- Height = 1200 cm^3 / (96 cm^2)
- Height = 12.5 cm
Remember this is the height of the empty zone, by this reason, to obtain the height of the whole tank, we must add the height of the zone with water (7 cm) that the exercise give us:
- Heigth of the tank = Height empty zone + height zone with water
- Heigth of the tank = 12.5 cm + 7 cm
- <u>Heigth of the tank = 19.5 cm</u>
In this form, <u>we calculate the height of the tank in 19.5 cm</u>.
Because that point can be put in place of x and y of both lines. it means that it is the answer
Answer:
<h2>
A(-2, 2) and B(6, 10)</h2>
Step-by-step explanation:
Given the equation of a line y = x + 4 and equation of a circle as
( x − 3 )² + ( y − 5 )² = 34, if the line and the circle intersect at points A and B, to get this points, we will substitute the equation of the line into that of the circle as shown;
We will have to expand the equation of the circle first before making the substitute.
( x − 3 )² + ( y − 5 )² = 34
x²-6x+9+y²-10y+25 = 34
x²+y²-6x+-10y+34-34 = 0
x²+y²-6x+-10y = 0
Substituting y = x+ 4 into the resulting expression;
x²+(x+4)²-6x+-10y = 0
x²+x²+8x+16-6x+-10(x+4) = 0
x²+x²+8x+16-6x+-10x-40 = 0
2x²-8x-24 = 0
x²-4x-12 = 0
(x²-6x)+(2x-12) = 0
x(x-6)+2(x-6) = 0
x+2 = 0 and x-6 = 0
x = -2 and 6
when x = -2;
y = -2+4
y = 2
when x = 6
y = 6+4
y = 10
The coordinates of the point of intersection are A(-2, 2) and B(6, 10).
Answer:
Once upon a time i was on brainly. I was asked to make a story and solve 15 divided by 1/9 so thats what this is :D Obviously I would do better stories on topics not math related but I thought it would do. I Used 15x1/9 to solve the equation and my helpful calculator UvU Thats when I got the ugly number of 1.66666667 as my answer I was annoyed but it would have to do. I finished typing these last words and submitted Hoping that i would get brainliest and give it away UvU
Step-by-step explanation:
(t-2)6 = 6t-12 Hope this helps!
