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alina1380 [7]
1 year ago
13

A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 met

ers, it would be a square. What are the rectangle’s dimensions?
Mathematics
1 answer:
valkas [14]1 year ago
7 0

Answer:

Length equals 16 and Width equals 4

Step-by-step explanation:

First let us create an equation. We can use L and W for length and width.

If the length is 4 times the width, then we end up with: L = 4W

It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."

Since a square has an equal length and width then we end up with:

L - 6 = W + 6

Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6

We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.

This leaves us with 3W = 12

W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.

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the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percent
djverab [1.8K]

No change in area if sides of rectangle are equal.

Hope this helps.

8 0
3 years ago
Several students and adult chaperones are going on a field trip to the theater. Each student ticket cost $2 and each adult ticke
stiks02 [169]
<span>The answer to this question would be: A. the number of adults
</span>
In this question, there are 4 times as many students as adults going on the trip. If we put it into a function where s= student and a=adult, then we could get one equation:<span>
1. s=4a
</span><span>
Each student ticket cost $2 and each adult ticket cost $4. The total cost of the trip is $144. We also can get one equation for this
2. 2s+ 4a= 144

If you put the first equation into the second, you will get:
</span>2s+4a= 144
2(4a)+4a= 144

The function is already similar with <span>2(4x)+4x but it uses a instead of x. Then x = a = number of adult</span>
6 0
3 years ago
Read 2 more answers
I need help with this .....
insens350 [35]

Answer:

6.5 hours

Step-by-step explanation:

hope this helped u bye

4 0
3 years ago
Consider the region bounded by 4y=x^2 and 2y=x.
gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

7 0
3 years ago
HURRY i’ll give brainliest please help!
Tema [17]
I think it is Good deeds
4 0
3 years ago
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