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Alika [10]
4 years ago
9

A map is created on the coordinate plan, lori's house is located at ( -3, 7) and Andreas house is located at (-3,-4). Each unit

on the map represents 0.2 mile.
Mathematics
1 answer:
grin007 [14]4 years ago
5 0

Answer: 2.2 miles.

Step-by-step explanation:

I guess that we want to find the distance between Lori's and Andrea's houses.

First, we have the locations:

L = (-3, 7)

A = (-3. -4)

To find the distance (in units) between two coordinate points (a1, a2) and (b1 b2) we can use the formula:

Distance = I (a1, a2) - (b1, b2)I = √( (a1 - b1)^2 + (a2 - b2)^2)

Then in this case we have that:

Distance = √( ( -3 -(-3))^2 + (7 - (-4))^2) = √( 0 + 11^2) = 11

The distance between their houses is 11 units.

And we know that each unit represents 0.2 miles, then 11 units represent 11 times that amount, the distance in miles will be:

D = 11*0.2 miles = 2.2 miles.

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8 0
4 years ago
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee
BabaBlast [244]

Answer:

13.76ft²

Step-by-step explanation:

Side of square: d=8ft

Area of board: Sb=d×d=64ft²

Area of circle: Sc=pi×r²=pi×(d/2)²=pi×d²/4=pi×64/4= 16×pi=50.24ft²

Remainin area: Sb-Sc=64-50.24=13.76ft²

8 0
3 years ago
Read 2 more answers
Two joggers start from opposite ends of an 8 mile course running towards each other. One jogger is running at a rate of 4 mph. T
Licemer1 [7]

Answer:

48 minutes

Step-by-step explanation:

Given: The distance between A and B is 8 miles. Speed of one jogger is 4 miles per hour, and speed of other jogger is 6 miles per hour.

To find: After how many minutes will the joggers meet, if they are running towards each other.

Solution:

Let both the joggers will meet after t hours, at point P between A and B.

We know that Distance=speed\times time

Let the jogger running at a speed of 4 miles per hour starts from point A.

So,

AP=speed\times time

AP=4\times t

AP=4t

Let the jogger running at a speed of 6 miles per hour starts from point B.

So,

BP=speed\times time

BP=6\times t

BP=6t

We have,

AP+BP=AB

\implies4t+6t=8

\implies10t=8

\implies t=\frac{8}{10}

\implies t=0.8

So, both the joggers will meet after 0.8 hours or 0.8\times60=48 minutes.

Hence, the joggers will meet after 48 minutes.

5 0
4 years ago
Graph of function F(t) close as possible the value of F(-2)
scoundrel [369]

Answer:

look at the explanation

Step-by-step explanation:

in order to create a f(-2)  you would need to know either a table of values or an equation to plug values into . . .saying a function of -2 does not really help, sorry

6 0
3 years ago
Jacob has several babysitting jobs. On one job, he earned $10 an hour plus an extra $20 since there were 3 children. On the othe
Slav-nsk [51]

Answer:

4 hours, $60

Step-by-step explanation:

Assuming "d" is equal to the dollars Jacob earned and h= hours, you start by setting the equations equal to each other, since both are equal to "d."

15h=10h+20

Subtract 10h from both sides (to combine like terms) so the equation becomes:

5h=20

Divide 5 from both sides, to isolate "d" :

h=4

The number of hours Jacob worked is 4, as the equation above shows. To find the amount of money Jacob made, substitute 4 as "h" into the two original equations:

d= 15(4) d=$60

d=10(4)+20 d=$60

Jacob earned $60 dollars in 4 hours.

7 0
3 years ago
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