Answer:
The tree grew 15/64 meters per year.
Step-by-step explanation:
Given
- Length of a tree = 3/4 meters
- Total time taken by the tree to grow 3/4 taller = 3 1/5 or 16/5 years
To determine
Per year growth of the tree in meters
Per year growth of the tree in meters can be determined by dividing the total length of a tree i.e. 3/4 meters by the total time taken by the tree to get 3/4 taller.
Per year growth of tree = Total Length / Total time to grow
= 3/4 ÷ 16/5
= 3/4 × 5/16
= [3×5] / [4×16]
= 15/64 meters
Therefore, the tree grew 15/64 meters per year.
Answer:
1 hour = 10/x
Step-by-step explanation:
Example: the man walks 10 miles in 5 hours. How many in 1 hour: 10/5= 2 miles
Answer: Maria has 10 bills of 5€ and 10 bills of 10€.
She has a total of 150€.
Step-by-step explanation:
Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.
Set up a system of equations:
Use the Substitution method to solve the system of equations:
1. Solve for "f" from the first equation:
2. Substitute the equation obtained into the second equation and solve for "t".
Then:
3. Substitute the value of "t" into the equation and evaluate:
Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.
So the total amount of money she has, is:
She has a total of 150€.
Answer:
64 crates
Step-by-step explanation:
Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet
Larger Container (Cube) Side Length = 10 feet
We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.
Volume of Cube = x^3
Where x is the side length of the cube
Now,
Small Crate Volume = (2.5)^3 = 15.625 cubic feet
Large Container Volume = 10^3 = 1000 cubic feet
Number of crates that would fit = 1000/15.625 = 64
So, 64 crates will fit in the largest shipping container
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
