Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
Step-by-step explanation:
Answer:
72.1 and -48.1
Step-by-step explanation:
I set up the equations x + y = 24 and x*y=-3468. Then I substituted for y and used the quadratic formula to come to two numbers rounded to about 72.1 and -48.1. Hope that helps :)
Answer:
28.26
Step-by-step explanation:
The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.
Hope this helps! :)
Answer:
Step-by-step explanation:
From similar triangles, see diagram in attachment
We solve for 
to obtain,
The formula for calculating the volume of a cone is
We substitute the value of to obtain,
This implies that,
We now differentiate both sides with respect to 
to get,
We were given that water is drained out of the tank at a rate of 
This implies that 
.
Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means 
.
We substitute this values to obtain,
