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Leviafan [203]
3 years ago
5

Find the slope of a line passing though the given points (1,4) (3,2)

Mathematics
1 answer:
kifflom [539]3 years ago
4 0
I believe the slope is -1
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Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

Therefore, the area of of Alberta is about 278,250\ mi^2.

5 0
3 years ago
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
valkas [14]

Answer:

8

Step-by-step explanation:

For the smallest possible length, this has to be one of the shorter sides. Let the length of this side be x.

So, by the triangle inequality theorem, 1+x>8, which means x>7.

So, the smallest possible whole number length is 8.

7 0
2 years ago
Which statement is true about 7/10 and 2/6?
77julia77 [94]

Answer: The third answer

Step-by-step explanation:

7/10 is 0.7 and 2/6 is 0.33, 2/6 would be less than 1/2 because 1/2 is 0.5, 0.7 is greater than that benchmark

5 0
3 years ago
From the equation y−3=−2(x+1), identify the slope and a point on the line.
olga2289 [7]

Answer:

slope = - 2, point on line = (- 1, 3 )

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = - 2(x + 1) ← is in point- slope form

with slope m = - 2 and (a, b ) = (- 1, 3 )

4 0
3 years ago
it is 3452 feet round trip from craig's house to his school. if he went to school 79 times this year, how many feet did he trave
Setler [38]
3531 you have to add them all
7 0
3 years ago
Read 2 more answers
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