Answer:
The probability of an eighth grader winning is 1/3
Step-by-step explanation:
Total no. of students = 42
Number of students in 7th grade = 21
Number of students in 8th grade = 14
Number of students in 9th grade = 7
Probability of event = 
So,the probability of an eighth grader winning= 
Hence The probability of an eighth grader winning is 1/3
Answer:
Donuts(b) = 12*b
Step-by-step explanation:
Notice that the question is:
What's an expression to model the number of donuts in b boxes?
We know that we are talking of boxes of a dozen donuts.
We know that in one dozen, we have 12 donuts.
Then if we have b boxes, and in each box we have 12 donuts, we will have a total of b times 12 donuts, the expression is:
Donuts(b) = 12*b
There is a lot of information here that we did not use (like the cost of cardboard and donuts), and that may be there just to distract us, the important thing to do here is:
See what is the thing we want to find (in this case, the number of donuts in b boxes)
Find the relevant information to solve this. (ignore the irrelevant information)
Solve the question.
The distance from E to side AD is 25/13.
<h3>
What is a distance?</h3>
- The length of the line connecting two places is the distance between them.
- If the two points are on the same horizontal or vertical line, the distance can be calculated by subtracting the non-identical values.
To find what is the distance from E to side AD:
- If you draw a diagram, you'll see that triangle AEB is a right triangle with lengths 5, 12, and 13.
- Let's call F the point where E meets side AD, so the problem is to find the length of EF.
- By Angle-Angle Similarity, triangle AFE is similar to triangle BEA. (the right angles are congruent, and both angle FAE and ABE are complementary to angle BAE)
- Since they're similar, the ratios of their side lengths are the same.
- EF/EA = EA/AB (they're corresponding side lengths of similar triangles).
Substitute them with known lengths:
- EF/5 = 5/13
- EF = 5 × (5/13) = 25/13
Therefore, the distance from E to side AD is 25/13.
Know more about distance here:
brainly.com/question/2854969
#SPJ4
The correct answer is given below:
Square ABCD has side lengths of 13 units. Point E lies in the interior of the square such that AE=5 units and BE=12 units. What is the distance from E to side AD? Express your answer as a mixed number.
Answer:
angle formed by two chords in a circle
Step-by-step explanation: