Answer:
The numbers are x = 3 and y = 1. Therefore the value of xy is 3.
Step-by-step explanation:
In order to calculate the numbers we will simplify the equation, this is done bellow:
2*x + x(2^2) + (y*2^3) + (y*2^4) = 42
2*x + 4*x + 8*y + 16*y = 42
6*x + 24*y = 42
We can divide the whole equation by 6, so we have:
x + 4*y = 7
The only possible combination of numbers that are positive and integers that will make the equation valid is x = 3 and y = 1. Therefore he value of xy is 3.
29 - 11 = 18
18 / 3 = 6
If growing at the constant rate of 3ft/y then it will take 6 years for the tree to reach the height of 29 feet.
Answer:
132cm²
Step-by-step explanation:
You can find the area of the entire shape by calculating the area of seperate smaller shapes.
You can split them up into 2 rectangles, one with a base of 7cm and height of 4cm, and another one with a base of 7cm and height of 8cm. You also have 2 triangles, with a base of 19cm - 7cm / 2 = 6cm since it is the entire bottom line subtracted by the top; they will have a height of 8cm each.
To calculate the rectangles areas, simply do length x width, which are:
4cm x 7cm = 28cm²
8cm x 7cm = 56cm²
Next, since the triangles are similar in measurements, instead of doing the normal calculation to find the area of a triangle, you can do base times height again, which is:
6cm x 8cm = 48cm²
Add all the answers together to get the final area, which is 132cm².
Answer:
Approximately 58 pieces can be cut in 35 minutes.
Step-by-step explanation:
Jason is cutting 25 firewood pieces in 15 minutes
Therefore, per minute rate of cutting firewood will be,
Rate =
=
= pieces per minute
By this rate amount of firewood that can be cut = Rate × Time taken
=
= 58.33
≈ 58 pieces of firewood
Therefore, approximately 58 pieces can be cut in 35 minutes.
Answer:
209.43951 round to the nearest tenth is 209.44
Step-by-step explanation:
A cone with a base radius of 5 units and a height of 8 units has a volume of 209.44 cubed units.
If a cone has a flat bottom, meaning the height and radius meet at right angles, then this formula can be used to find of volume ('V') of that cone (also know as a right circular cone):
V = 1/3(PI*r squared * h )
The volume of a cone can be calculated by taking one-third of the result of the radius squared, multiplied by the height, multiplied by the mathematical constant pi.
Here is a step-by-step case that illustrates how to find to volume of a cone with a radius of 2 feet and a height of 3 feet. Note that in order to save space (and because pi cannot be determine precisely) a limited number of decimal places are used, the symbol ~ denotes that this answer is an approximation.
V = 1/3(pi * r^2 * h)
= 1/3(pi * 2^2 * 3)
= 1/3(pi * 12)
= 1/3(37.7)
~ 12.6 cubic feet
Hope this helps!!