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Serga [27]
3 years ago
7

Travis wants to build a fence around his mother's rectangular garden. The length of the garden is 315 centimeters, and the width

of the garden is 290 centimeters. 799992110.Gif How many meters (m) of fence will Travis need?
Mathematics
1 answer:
Mariulka [41]3 years ago
7 0

Answer: 12.1 meters

Step-by-step explanation:

This is a rectangular fence so it represents a rectangle.

Fencing the garden will require going around it therefore you are looking for the perimeter.

Perimeter of a rectangle = (2 * Length) + ( 2 * Width)

= (2 * 315) + ( 2 * 290)

= 1,210 cm

Convert to meters:

A meter is 100 centimeters

= 1,210 / 100

= 12.1 meters

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In a geometric sequence, a2=2, a3=16, and a4=128.
Oduvanchick [21]

Answer:

an = 1/4(8)^n-1

Step-by-step explanation:

Given the following in a geometric sequence, a2=2, a3=16, and a4=128.

nth term of a sequence = ar^n-1

a is the first term

r is the common ratio

r = a3/a2 = a4/a3

r = 16/2 = 128/16

r = 8

a2 = ar

2 = 8a

a = 2/8

a = 1/4

The nth term by substituting the parameters will be;

an = 1/4(8)^n-1

4 0
3 years ago
Solve the system of equations by graphing<br>2x+y=8<br>x+3y=9​
natima [27]

9514 1404 393

Answer:

  (x, y) = (3, 2)

Step-by-step explanation:

The attached graph shows the solution.

  (x, y) = (3, 2)

3 0
3 years ago
Molly has 190 dollars in her bank account and spend 10 dollars every trip write an equation for molly
leonid [27]
10xt=190
T represents the amount of trips and 10 represents the amount of money she spends each trip. Since she has $190 already it will be on the other side of the equation after the equal sign
3 0
3 years ago
Look at the system of equations below<br> Sy= -2x +3<br> 1 4x – 3y = 11
kompoz [17]

Answer:

(2,-1)

y= -1

x= 2

Step-by-step explanation:

y= -2x+3

4x-3y=11

substitute the value of y into an equation

4x-3(-2x+3)=11

distribute by multiplying numbers in parenthesis by -3

4x+6x-9=11

add 4x to 6x

10x-9=11

add 9 from both sides

10x=20

divide both sides by 10

x=2

substitute the value of x into an equation

y= -2•2+3

multiply -2 to 2

y= -4+3

add -4 to 3 but 4 is negative, so subtract

y= -1

-----------

(2,-1)

-----------

3 0
3 years ago
Part B
Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is 4.6\ miles

Part B) The length of a straight line between the school and the hospital is 2.1\ miles

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and C(4.3,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}

d=\sqrt{(1.7)^{2}+(4.3)^{2}}

d=4.6\ miles

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and D(1.2,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}

d=\sqrt{(1.7)^{2}+(1.2)^{2}}

d=2.1\ miles

7 0
3 years ago
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