Answer:
68
Step-by-step explanation:
I just know I was in class with my teacher
Answer:
5 small containers will be required and used.
This water is used to fill four and half small containers exactly.
4.5 small containers
Step-by-step explanation:
The rectangular container has dimensions 12*12*45 cm and the small container has dimensions 6*5*8 cm
The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm
The volume of the water in the rectangular container with a square base is
12*12*7.5= 1080 cm³
The volume of the water in the smaller container is
6*5*8= 240 cm³
Number of smaller containers required = Volume of large container / Volume of smaller container
Number of smaller containers required =1080 cm³/240 cm³= 4.5
This water is used to fill four and half small containers exactly.
Answer:
No one person invented percentages. The concept developed throughout history. In Ancient Rome mathematical computation were expressed in fractions of 100.
Step-by-step explanation:
The term has been attributed to Latin per centum. The concept of considering values as parts of a hundred is originally Greek. The symbol for percent (%) evolved from a symbol abbreviating the Italian per cento. In some other languages, the form procent or prosent is used instead.
Hope this helps
Answer:
D
Step-by-step explanation:
so from the graph we see that at zero weeks (the start), he has 15 rocks.
each week he adds 5 rocks. (he is at 30 rocks after 3 weeks)
This narrows the choices down and D is our answer
Step-by-step explanation:
As these two triangles are similar we know a few things:
Their respective angles will have the same measure
Their respective sides will be proportional to each other.
Knowing this, we can sole for x by creating a proportion of the two given sides
![\frac{42}{60} =\frac{x+12}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B60%7D%20%3D%5Cfrac%7Bx%2B12%7D%7B40%7D)
Now we can solve for x
![\frac{42}{60} =\frac{x+12}{40}\\\\\frac{40(42)}{60} =x+12\\x=\frac{1680}{60} -12\\\\x=28-12\\\\x=16](https://tex.z-dn.net/?f=%5Cfrac%7B42%7D%7B60%7D%20%3D%5Cfrac%7Bx%2B12%7D%7B40%7D%5C%5C%5C%5C%5Cfrac%7B40%2842%29%7D%7B60%7D%20%3Dx%2B12%5C%5Cx%3D%5Cfrac%7B1680%7D%7B60%7D%20-12%5C%5C%5C%5Cx%3D28-12%5C%5C%5C%5Cx%3D16)
Knowing that the respective angles will be equal we can create this equation to solve for y
![5y+7=52\\\\5y=45\\\\y=9](https://tex.z-dn.net/?f=5y%2B7%3D52%5C%5C%5C%5C5y%3D45%5C%5C%5C%5Cy%3D9)
And knowing that, again, the angles will be equal to each other If we solve for angle E, we can know the measure of angle H
We are given two of the angles of GEF and the sum of the angles of a triangle is always 180. We can setup an equation as follows
![52+36+E=180\\\\E=92\\E=92=H](https://tex.z-dn.net/?f=52%2B36%2BE%3D180%5C%5C%5C%5CE%3D92%5C%5CE%3D92%3DH)