Denise wants to find out how the steepness of a hill’s slope affects the amount of soil that erodes from it. She will use soil, a long pan, and several 4-inch-tall wooden blocks to build a model hillside. She will use a watering can to simulate rainfall. In her experiment, which factor should be Denise’s variable?the type of soil with which she fills the pan
the number of blocks holding up the end of the pan
the amount of water she pours on the model hillside
the location she uses to test her model

Answers

Answer 1

Answer: the variable would be the number of blocks holding up the pan because the variable is what changes.

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How does this model demonstrate the Pythagorean Theorem?Three squares whose corners touch so that the respective edges form a triangle. The smallest square has a side labeled six and is made up of thirty-six smaller squares. The largest square has a side labeled ten and is made up of one hundred smaller squares. The third square has a side labeled eight and is made up of sixty-four smaller squares.

A.
The sum of the lengths of the shortest and the longest sides is equal to twice the length of the middle side. So double the length of the longer leg of any right triangle is equal to the sum of the shorter leg and the hypotenuse.

B.
The sum of the area of the two smaller squares is equal to the area of the larger square. So the sum of the lengths of the two legs of any right triangle squared is equal to the length of the hypotenuse squared.

C.
The sum of the area of the smallest and the largest squares is equal to the area of the middle square. So the sum of the lengths of the shorter leg and the hypotenuse of any right triangle squared is equal to the length of the middle leg squared.

D.
The length of the longest side minus two equals the length of the middle side. The length of the middle side minus two equals the length of the shortest side. So the length of the short leg of any right triangle is equal to the length of the middle leg minus 2, and the length of the hypotenuse is equal to the length of the middle leg plus 2.

Answers

" B is your best choice but it is very badly stated. this gives an Example of the Pythagorean theorem. it does Not demonstrate it. B is written incorrectly, it should say "sum of squares of the lengths of the legs" Not "sum of the lengths of the two legs of any right angle squared"

11 is 20% of what number?

Answers

i think its 55 because 11 divided by .2 (20%) equals 55 then if you wanna check it then multiply 55 with .2 and you'd get 11.

51. Q(3, 9), P(-1,5)
find the coordinates of the missing endpoint if P is the midpoint of NQ

Answers

X1= 3, Y1= 9
Midpoint formula= (?,?)= (x1+x2/2 , y1+y2/2)
-2= 3+? Making ?= -5
10= 9+? Making ?= 1
So your answer is (-5,1)= N

Final answer:

The coordinates of the missing endpoint, if P is the midpoint of segment NQ, are found using the formula N = 2P - Q. Substituting the given values into this formula, the coordinates of the missing point N are (-5, 1).

Explanation:

If point P is the midpoint of segment NQ, we can use the formula for finding the coordinates of the endpoint if we know the midpoint and one endpoint. The formula states:

To find the missing endpoint (in this case, point N), we use the formula: N = 2P - Q

Substituting the given values into the formula, we get:

N = 2(-1, 5) - (3, 9)

N = (-2, 10) - (3, 9)

N = (-5, 1)

So, the coordinates of the missing endpoint N are (-5, 1).

Learn more about Midpoint Formula here:

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There are 15 violinists in the orchestra this year. Next year, two violinists will leave and some new violinists will join the orchestra. If v is the number of violinists who will join the orchestra, write an expression to represent the number of violinists in the orchestra next year.