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Mathematics

1 answer:

Black_prince [1.1K]3 years ago

5 0

Pythagorean Theorem

a^2 + b^2 = c^2

b^2 = c^2 - a^2

Plug in

b^2 = 13^2 - 7^2

b^2 = 169 - 49

b^2 = 120

b = √120

Answer

c. √120 centimeters

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Find the amount of sap the maple syrup producer collected from each tree if the total amount (5 gallons) was redistributed equal

Afina-wow [57]

The picture in the attached figure

we know that
total amount of sap =[3*(1/4)+2*(3/8)+4*(5/8)+1*(1)]
total amount of sap =[(3/4)+(6/8)+(20/8)+(1)]
total amount of sap =[(3/4)+(3/4)+(10/4)+(4/4)]
total amount of sap =[20/4]
total amount of sap =5 gallons
total of trees=10

[amount of sap collected from each tree]=total amount of sap/total of trees

[amount of sap collected from each tree]=5/10----> 0.5 gallons per tree

the answer is
0.5 gallons

7 0

3 years ago

Read 2 more answers

What is the vertex of the parabola 1. (-1,0) 2. (0,-3) 3. (1,-4) 4. (3,0)

larisa [96]

The answer is (1,-4)
Remember that the vertex is the center of the parabola.

3 0

3 years ago

6 points

kodGreya [7K]

Answer:

$y=-2\,(x+3)^2-3$

Step-by-step explanation:

Notice that they are asking you to write the equation of the parabola in vertex form, that is using the coordinates of the vertex $(x_v,y_v)$ in the expression:

$y-y_v=a\,(x-x_v)^2\\y=a\,(x-x_v)^2+y_v$

we can start by directly replacing the given vertex coordinates (-3, -3) in the expression, and then using the extra info on the point the parabola goes through in order to find the parameter $a$ :