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Delicious77 [7]
2 years ago
11

Matea recorded that water levels in one part of the river fell 1.05 millimeters per year for 2.48 years. Describe how you could

estimate the total variation in water level.
Mathematics
2 answers:
Mariulka [41]2 years ago
8 0

The decrease of the decimal rate -1.05 mm/year can be rounded to -1. You don’t need to round 2.48 because you’re multiplying by -1. Since -1.05 is negative and rounded to a greater value, the estimate could be adjusted to a slightly lesser value, maybe -2.5 or -2.6.



dusya [7]2 years ago
6 0
Round 1.05 mm to the nearest whole number the result is -1.1 then round 2.48 which the result will be equal to 3. The total variation in water level is -3.3
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Rectangle ABCD with coordinates A(1,1), B(4,1), C(4,2) and D(1,2) dilates with respect to the origin to give rectangle A’B’C’D’.
Delvig [45]

Answer: Option C.

Step-by-step explanation:

You need to find the distance AB with the formula for calculate the distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Then, substituting the coordinates of the points A(1,1) and B(4,1), you get:

AB=\sqrt{(4-1)^2+(1-1)^2}=3

You know that A'B'=6, then the scale factor of dilation can be calculated with:

k=\frac{A'B'}{AB}

Substituting values, you get:

k=\frac{6}{3}\\\\k=2

This matches with the option C.

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2 years ago
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The heights (in cm) and arm spans (in cm) of 31 students were measured. The association between x(height) and y(arm span) is sho
abruzzese [7]

Answer:

27.385 cm longer would we expect Mike's arm span to be than George's.

Step-by-step explanation:

We have to find how many centimeters longer would we expect Mike's arm span to be than George's using the equation:

y= 4.5x + 0.977 x

where y= arm span

and x= height

Given:

Mike's height=x = 175 cm

so Mike's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (175) + 0.977* (175)

                                    = 787.5 + 170.975

                                    = 958.475 cm

George's height = x = 170 cm

so George's arm span= y= 4.5 x + 0.977 x

                                    = 4.5* (170) + 0.977* (170)

                                    = 765 + 166.09

                                    = 931.09 cm

Mike's arm span longer than George's = Mike's arm span - George's arm span

                                                                 = 958.475 - 931.09

                                                                 = 27.385 cm.

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2 years ago
The steps below show the work of a student used to calculate the number of yards in 804.5 meters.
Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

 <u>1,609 meter </u>    x   <u>      1 mile       </u>   =   2 miles

                               804.5 meters                                        

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles   x <u>  1,760 yards </u>   =   3,520 yards

                        1 mile

no need of step 3.  the conversion  below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)  

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A farmer sells 6.5 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. Ho
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Answer:

1.625 kilograms

Step-by-step explanation:

Since total weight of pears and apples is 6.5 kilograms and 3/4 of this weight is pears, the weight of the pears is

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Since the weight of the pears is 4.875, we can subtract it from the total weight to find the weight of the apples

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