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A right triangle has three sides: the two sides that share a vertex are known as the legs, and the other side is known as the hypotenuse. The legs are known as a and b, while the hypotenuse is c.
The Pythagorean Theorem states the a^2 + b^2 = c^2. If we plug the numbers into this equation, we will find the length of the hypotenuse.
39^2 + 80^2 = c^2
1521 + 6400 = c^2
7921 = c^2
We have c squared now, but we want to know how much c is equal to. The square root of c^2 will be our answer.
89 = c
The length of the hypotenuse of a right triangle with legs that measure 39 and 80 inches is 89 inches.
Answer:
All you have to do is combine the like terms. Once you do that you get: -4x+3y=-11
Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
Step-by-step explanation:
Let many universities and colleges have conducted supplemental instruction(SI) programs. In that a student facilitator he meets the students group regularly who are enrolled in the course to promote discussion of course material and enhance subject mastery.
Here the students in a large statistics group are classified into two groups:
1). Control group: This group will not participate in SI and
2). Treatment group: This group will participate in SI.
a)Suppose they are samples from an existing population, Then it would be the population of students who are taking the course in question and who had supplemental instruction. And this would be same as the sample. Here we can guess that this is a conceptual population - The students who might take the class and get SI.
b)Some students might be more motivated, and they might spend the extra time in the SI sessions and do better. Here they have done better anyway because of their motivation. There is other possibility that some students have weak background and know it and take the exam, But still do not do as well as the others. Here we cannot separate out the effect of the SI from a lot of possibilities if you allow students to choose.
The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.
c)There wouldn't be any basis for comparison otherwise.