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inessss [21]
2 years ago
6

Phoebe usually drives to work each day on a 12-mile road that is currently closed for construction. While the road is closed she

is forced to drive along one way streets to and from work(as indicated in the diagram below). What is the total distance phoebe has to drive each day (round trip) while her usual route is closed?
Mathematics
1 answer:
Mumz [18]2 years ago
3 0

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

<h3>What is a Pythagoras theorem?</h3>

The square of the longest side is equal to the square of the sum of the othersides.

Before we can calculate the total distance, we will need to get the hypotenuse on  both sides using the Pythagoras theorem as shown:

H^2= 12^2 + 9^2

H² = 144 + 81

H² = 225

H = 15

For the other hypotenuse

h² = 12² + 5²

h² = 144 + 25

h²  = 169

h = 13 mils

The total distance = 5 + 15 + 9 + 13

The total distance = 42 miles

The total distance phoebe has to drive each day (round trip) while her usual route is closed is 42 miles

Learn more on Pythagoras theorem here: brainly.com/question/12306722

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In 2003 a town’s population was 1431. By 2007 the population had grown to 2134. Assume the population is changing linearly.How m
sergiy2304 [10]

We will have the following:

First, we will have that the population change by:

\Delta P=2134-1431\Rightarrow\Delta P=703

So, the population changed by 703 people.

It took the follwoing number of years to change from 1431 to 2134:

\Delta y=2007-2003\Rightarrow\Delta y=4

So, it took 4 years to changes from 1431 to 2134.

m=\frac{2134-1431}{2007-2003}\Rightarrow m=175.75

The average population growth per year is of 175.75 people per year.

The population in 2000 would have been:

P_{2000}=\frac{2000\cdot1431}{2003}\Rightarrow P_{2000}=1428.856715\ldots

\Rightarrow P_{2000}\approx1429

So, the population in 2000 would have been approximately 1429 people.

We will have that the equation for the population would be:

P=(\frac{2134-1431}{2007-2003})t+1429\Rightarrow P=\frac{703}{4}t+1429

So, the equation would be:

P=175.75t+1429

Now, we predict the number of people of the town in 2014:

P_{2014}=175.75(14)+1429\Rightarrow P_{2014}=3889.5

\Rightarrow P_{2014}\approx3890

So, there will be approximately 3890 people of the town in 2014.

3 0
1 year ago
Please answer no links or repo and no random stuff thanks. no robots please.
alekssr [168]

Answer: D Maybe?????

Step-by-step explanation:

7 0
3 years ago
The ratio table below shows the relationship between the weight of apples purchased and the total cost of the apples.
Flauer [41]

When the weight of apples is increased by a factor of 4, total cost increases by 8.

<h3>What is the increase in total cost?</h3>

The first step is to determine the relationship between the weight of apples and their total cost.

Relationship between weight and total cost = $2 / 1 = $2

Increase in total cost = $2 x 4 = $8

To learn more about multiplication, please check: brainly.com/question/13814687

#SPJ1

3 0
1 year ago
Mr.Bruns class is taking a field trip to the planetarium. The trip will cost $27 for each student. There are 18 students in his
padilas [110]
Total cost
=$27x 18
=$486
4 0
3 years ago
Read 2 more answers
Find the volume of a pyramid with a square base, where the side length of the base is
irina [24]

The volume of the pyramid is  167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = \frac{1}{3}×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid =  \frac{1}{3}×l²×h

=  \frac{1}{3}×8.3²×7.3 cube inch = 167.6 cube inch (approx)

8 0
3 years ago
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