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Triss [41]
3 years ago
10

The length of a rectangle is two times its width. Find the area if its perimeter is 7 1/3

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Let x be the width

width = x

Length is twice its width

length = 2x

Perimeter = length + width + length + width

Perimeter = x + 2x + x + 2x = 6x

Given that perimeter = 7 1/3

6x = 7 1/3

x = 7 1/3 ÷ 6 = 1 2/9

So width = 1 2/9

Length = 1 2/9 x 2 = 2 4/9

Area = length x width

Area = 1 2/9 x 2 4/9

Area = 2 80/81 square cm

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Easy question pls help​
gavmur [86]

Answer:

They are congruent

Step-by-step explanation:

Vertical angels always congruent

3 0
3 years ago
A line has a slope of -5/8. What is the slope of the line parallel to it; and what is the slope of the line perpendicular to it?
Andrei [34K]

To find the slope of the line parallel to it, all you have to do is change the y-intercept, or the b in y = mx + b...

3 0
3 years ago
A remote control car races down the street at 26 miles per hour. Two hours later a second remote control car races straight down
Neporo4naja [7]

Answer:

4 hours

Step-by-step explanation:

Given

Car 1:

Speed = 26mph

Time = h

Car 2:

Speed = 52mph

Time = h - 2 --- i.e. 2 hours after car 1

Required

Determine the time car 1 will meet car 2

To do this, we calculate the distance of both cars using:

Distance = Speed * Time

For Car 1:

Distance = 26 * h

Distance = 26h

For Car 2:

x^{2} Distance = 52 * (h - 2)

Open bracket

Distance = 52h - 104

When car 2 meets up with car 1, they are at the same distance.

So:

26h = 52h - 104

Collect Like Terms

26h - 52h = -104

-26h = -104

Solve for h

h = \frac{-104}{-26}

h = 4

<em>Car 2 will catch car 1; 4 hours from the start</em>

8 0
3 years ago
Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposi
Zanzabum

1. N is a midpoint of the segment KL, then N has coordinates

\left(\dfrac{x_K+x_L}{2},\dfrac{y_K+y_L}{2} \right) =\left(\dfrac{0+2a}{2},\dfrac{2b+0}{2} \right) =(a,b).

2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is

A_{KMN}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2b\cdot a=ab.

3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is

A_{MNL}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2a\cdot b=ab.

4. Comparing the expressions for the areas you have that the area A_{KMN} is equal to the area A_{MNL}. This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.

6 0
3 years ago
Read 2 more answers
What is 20 lbs 4 oz divided by 6?
Svetradugi [14.3K]

Answer:

54 oz. OR 3 3/8 lbs.

Step-by-step explanation:

1) Convert pounds to ounces. There are 16 ounces in a pound. 20 * 16 = 320.

2) Add the remaining 4 ounces. 320 + 4 = 324.

3) Divide 324 by 6. 324/6 = 54.

Final answer: 54 ounces.

NOTE: If you want the answer in pounds, divide 54 by 16. 54/16 = 3 3/8

Final answer b: 3 3/8 pounds

7 0
3 years ago
Read 2 more answers
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