Let's say there are 12 boxes of cheese in the original order. Draw a table with 4 rows and 3 columns. Shade exactly 3 of the rows (the entire row). So you should shade in 9 boxes total with 3 left unshaded.
Those 9 shaded boxes are then distributed equally among the 3 restaurants. So each restaurant gets 9/3 = 3 boxes
Comparing those 3 boxes to the original 12 forms the fraction: 3/12 = 1/4
So each restaurant gets 1/4 of the original order
Answer: 1/4
Note: another way to do this is to multiply 1/3 by 3/4 to get 1/4
Our basis for this equality is the pythagorean theorems of trigonometry. There are three equations for the pythagorean theorems. These are:
sin²x + cos²x =1
1 + tan²x = sec² x
1 + cot² x = csc² x
These are all derived from circle geometry on the cartesian plane. Now, the useful trigonometric property to be used is the third one. Rearranging this, we come up with
cot²x - csc²x = -1
This coincided with the given equation. Therefore, this is true. This is because it is already established from the pythagorean theorems.
Answer:
2.8
Step-by-step explanation:
From the similarity ratio we can calculate the missing side length for the smaller rectangle
and when we add all side lengths the answer is 2.8
Answer:
Dante most likely asked the students if they should change the school mascot. This is a statistical question because the question can be answered by data that varies.
Step-by-step explanation:
You can see that the results for this question are either "yes" or "no". This means that Dante asked a question with a yes or no answer related to changing the mascot. This question was probably something along the lines of whether or not the mascot should be changed.
The definition of a statistical question is "a question that should have different answers". Therefore, this is a statistical question because the answers will be different from student to student.
Hope this helps!
Answer:
x=1
Step-by-step explanation:
3x+2= -x+6
4x=4, x=1
