Answer:
The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x i the height of a large block.
y is the height of a small block.
Taylor uses 4 large blocks and 2 small blocks to make a tower 63.8 inches tall.
This means that:

Simplifying by 2:

So

Natsumi uses 9 large blocks and 4 small blocks to make a tower 139.8 inches tall.
This means that:

Since 




The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.
Answer:
x = 4
Step-by-step explanation:
The quadrilateral is a rectangle and opposite sides are congruent, hence
10 + 2x = 18 ( subtract 10 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Answer:
The best prediction for the number of years it will take for the population to reach 200,000 is 9.41
Step-by-step explanation:
Year Population
1 11,920
2 16,800
3 23,300
4 33,000
5 45,750
6 64,000

Substitute the values

Divide 1 and 2

The exponential function that passes through the points (1, 11920) and (2, 16800) is
Now we are supposed to find the best prediction for the number of years it will take for the population to reach 200,000



t = 9.41
Hence the best prediction for the number of years it will take for the population to reach 200,000 is 9.41
<span>The question asks to find how long will it take until to fill the cone if 1413 cm^3 of water goes in it every minute. First we have to find the volume of the cone: V = 1/3 r^2 Pi * h; V = 1/3 * 60^2 * 3.14 * 150 ; V = 1/3 * 3600 * 471; V = 565,200 cm^3. If 1413 cm^3 of water goes every minute into the cone, we have to divide the volume by 1413: 565,200 : 1413 = 400. Answer: It will take 400 minutes. </span>