Solve for d. 1.17=d/3 d =

Surface area of rectangular prism length 6 in., width 5 in., height 12 in.

Elan Coil [88]

The surface area is 324

5 0

2 years ago

A rectangle has a length 6 more than it's width if the width is decreased by 2 and the length decreased by 4 the resulting has a

Rashid [163]

Answer:

Length of original rectangle: 11 units.

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

$\text{Perimeter of new rectangle}=20$

Step-by-step explanation:

Let x represent width of the original rectangle.

We have been given that a rectangle has a length 6 more than it's width. S the length of the original rectangle would be $x+6$ .

We have been given that when the width is decreased by 2 and the length decreased by 4 the resulting has an area of 21 square units.

The width of new rectangle would be $x-2$ .

The length of new rectangle would be $x+6-4=x+2$ .

The area of new rectangle would be $(x+2)(x-2)$ .

Now we will equate area of new rectangle with 21 and solve for x as:

$(x+2)(x-2)=21$

Applying difference of squares, we will get:

$x^2-2^2=21$

$x^2-4=21$

$x^2-4+4=21+4$

$x^2=25$

Since width cannot be negative, so we will take positive square root of both sides.

$\sqrt{x^2}=\sqrt{25}$

$x=5$

Therefore, the width of original rectangle is 5 units.

Length of the original rectangle would be $x+6\Rightarrow x+5=11$ .

Therefore, the length of original rectangle is 11 units.

$\text{Area of original rectangle}=5\times 11$

$\text{Area of original rectangle}=55$

Therefore, area of the original rectangle is 55 square units.

Now we will find ratio of the original rectangle area to the new rectangle area as:

$\frac{\text{Area of original rectangle}}{\text{Area of new rectangle}}=\frac{55}{21}$

We know that perimeter of rectangle is two times the sum of length and width.

$\text{Perimeter of new rectangle}=2((x+2)+(x-2))$

$\text{Perimeter of new rectangle}=2((5+2)+(5-2))$

$\text{Perimeter of new rectangle}=2(7+3)$

$\text{Perimeter of new rectangle}=2(10)$

$\text{Perimeter of new rectangle}=20$

Therefore, the perimeter of the new rectangle is 20 units.

7 0

3 years ago

Plz help I will give you 40 points and Brainly

Rama09 [41]

Answer:

D) {-5,1}

R) {-4,7}

x (-31/11,0)

y (0,31/6)

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

8 0

3 years ago

The intersection of two planes (in geometry) that do not collide (if it exists) is what

butalik [34]

Answer:

It's called a line in math

4 0

3 years ago

What is 25 mi/h expressed as meters per second?

arlik [135]

Answer:

11.176 meters/second

Step-by-step explanation:

1 mile = 1609.34 meters

25 miles = 40233.6 meters

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 3600 seconds

40233.6 / 3600,

11.176 meters/second

7 0

1 year ago