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jok3333 [9.3K]
3 years ago
5

Payton leaves to go on an 85 minute bike ride at 3:27 p.m. Payton's family eat dinner 5:45 p.m.

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0

Answer:

2 hours and 18 minutes

Step-by-step explanation:

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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
Desiree ran 12 miles in 1 hr, 48 minutes, What was Desiree's average running rate, in minutes per mile
Rina8888 [55]

Answer: 1/9

Step-by-step explanation:

60 + 48 = 108 minutes

12 / 108 = 1/9

3 0
3 years ago
What is the slope of the line that passes through the points (-4,-2) and (-4,-22)? Write your answer In simplest form
andrew11 [14]
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4 0
3 years ago
Select two ratios that are equivalent to 4:18
fredd [130]

36:8, 9:2, and 72: 16

Step-by-step explanation:

two ratios that are equivalent to 4:18

36:8, 9:2, and 72: 16

would all be equivalent. In order to find ratios that are equivalent to 18:4, you have to multiply both numbers by the same factor. For

8 0
3 years ago
What is the rate of change of the function y = − 1/4 x + 1
scoray [572]

Answer:

-1/4

Step-by-step explanation:

Hello!

The rate of change is also known as the slope.

Standard equation of a line: y = mx + b

  • y: output
  • m:  slope
  • x: input
  • b: y-intercept

So, if we match the standard form to the given function:

  • y = mx + b
  • y = -1/4x + 1

-1/4 is m, or the rate of change.

8 0
2 years ago
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