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fomenos
3 years ago
15

The length of a rectangle is 5 in more than double the width

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
3 0

Answer:

length of a rectangle is 5 more than twice the length. I believe

you mean the length of a rectangle is 5 more than twice the

width.

From the information given we can make two equations,

thus forming a system to solve. We know the perimeter

of a rectangle is 2(length + width) and area = length*width.

length of a rectangle is 5 more then twice the width:

L = 2w + 5

The perimeter is 130:

2(L+w) = 130

L+w = 65

Since we know L=2w+5 we can substitute that into 2nd equation

to solve for w

2w + 5 + w = 65

3w = 60

w = 20

L = 2w+5 = 45

The area is length*width = 20(45) = 900 square units

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It takes 80 seconds for a 1-mile-long train to pass a signpost. If the train keeps moving
elena-s [515]

Answer:

45 miles

Step-by-step explanation:

3600 seconds per hour

3600/80=45

7 0
3 years ago
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What is the solution to the equation below? Round your answer to two
adoni [48]

Answer:

The Solution to the equation 4ˣ = 9.2 is the option D ) x = 1.60

Step-by-step explanation:

Given:

4^{x}=9.2

To Find:

x = ?

Solution:

We know Logarithmic identity as

\log (A)^{B}= B\log A\\

4^{x}=9.2     .............Given

Taking Log on both the side we have

\log 4^{x}=\log 9.2\\\textrm{using the above identity we get}\\\\x\log 4 = \log 9.2\\\\x=\frac{\log 9.2}{\log 4} \\\\\therefore x =\frac{0.9637}{0.6020} \\\\\therefore x =1.6008\\\\\therefore x = 1.60

The Solution to the equation 4ˣ = 9.2 is the option D ) x = 1.60

4 0
4 years ago
Students are designing a new town as part of a social studies project on urban planning. ey want to place the town’s high school
-Dominant- [34]

Answer:

  c, d.  see attached

  e. about 2.96 miles; about $1.63 million

Step-by-step explanation:

e. The x-coordinates of points A and B are 1/3 and 2/3 of the x-coordinate of "Downtown", respectively. The y-coordinates of A and B are 2/3 and 1/3 of the y-coordinate of "Town pool", respectively. Then the distances from A and B to the Mall can be found using the Pythagorean theorem:

  A to Mall = √(4² +(10/3)²) = √(244/9) ≈ 5.20683 . . . miles

  B to Mall = √(8² +(5/3)²) = √(601/9) ≈ 8.17177 . . . miles

The difference in distance is ...

  (BM -AM) = 8.17177 -5.20683 = 2.96493 . . . miles

The mall is about 2.96 miles farther from point B than from point A.

The additional cost is the difference in miles multiplied by the cost per mile:

  (2.96 mi)($0.550 M/mi) = $1.63 M

The additional cost of the longer road is about $1.63 million.

5 0
3 years ago
One endpoint of a line segment has coordinates represented by (x+4,12y) . The midpoint of the line segment is (3,−2) .
Bingel [31]

Answer:

(2-x,-4-12y) coordinates of other end points.

Step-by-step explanation:

Given:

Let A be the end point whose coordinates which are given and B the other end point which  co ordinates needs to be find.

Coordinates of point A (x_1,y_1)= (x+4,12y)

Coordinates of point A (x_2,y_2= need to be find

Midpoint of Line segment AB = (3,-2)

Midpoint of Line segment = (\frac{x_1+x_2}{2})(\frac{y_1+y_2}{2})

Solving for x we get ,

\frac{x+4+x_2}{2}= 3\\\\x+4+x_2=6\\x_2=6-4-x\\x_2=2-x

Solving for y we get ,

\frac{12y+y_2}{2}= -2\\\\12y+y_2=-4\\y_2=-4-12y

Hence (2-x,-4-12y) coordinates of other end points.

6 0
3 years ago
Please help with this
otez555 [7]

Step-by-step explanation:

multiply 455 by 0.20

convert percentage to decimal

20% = 0.20 ( multiply by 10^-2)

why does this work?

convert to a fraction

20/100 ( this is also how you get decimal)

simplify 20/100 = 1/5

so multiplying 455 by 0.20 is the same as dividing by 5

4 0
3 years ago
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