1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mamont248 [21]
3 years ago
11

The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of the rectangle is 30 meters.What is the le

ngth of the rectangle
Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

11 meters

Step-by-step explanation:

Lets say that  w = width of the rectangle, to start. If the length of the rectangle is 3 meters greater than 2 times the width, the length of the rectangle is equal to 3 + 2w.  

The perimeter of the rectangle is 2 * length of rectangle + 2 * width of the rectangle. With the perimeter being equal to 30 and width being w and length being 2w+3:

The perimeter of the rectangle is 2(w) + 2(2w+3) = 30.  

We first need to find out w first, which will give us the width of the rectangle. Taking it step by step, we get:

2w + 4w + 6 = 30

6w + 6= 30

6w = 24 which is done by subtracting both sides by 6 to put the variables on one side and the values on the other side

w = 4 which is done by dividing 6 on both sides

Ultimately, this gets width to be 4 meters. Now that we found the width, we need to plug w = 4 into the equation we set up for length which is 2w+3.

That being said, the ANSWER is:

length of rectangle = 2(4)+3 = 11 meters

Hope this helps! :)

You might be interested in
A water tank is composed of a cylinder and 2 half spheres
Roman55 [17]
We will not know the answer because you didn't tell us the radius or anything
8 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Margaret [11]
In getting the area of and equilateral triangle, you must first consider that all of its sides are congruent and that is 3 inches, so the formula in getting the area is height form its base so in getting its height you must use the pythagorean theorem by dividing the triangle so the hypotenuse of it is 3 and the base of 1.5inches, so the height is 4.77 inches then the area is 7.15 sqr.inch
4 0
3 years ago
Determine a polynomial that represents the area of the parallelogram.<br> A=
sp2606 [1]

Answer:

4b² - 16

Step-by-step explanation:

The formula to find the area of a parallelogram equals bh, where b = base and h - height. We're given the base as 2b + 4 and the height as 2b - 4.

  • (2b+4)*(2b-4)=(2b+4)(2b-4)
  • (2b+4)(2b-4)=(2b)(2b)+(2b)(-4)+(4)(2b)+(4)(-4)
  • 4b^2-8b+8b-16
  • 4b^2-16

Therefore, the answer is 4b² - 16.

6 0
2 years ago
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

4 0
3 years ago
!!!29 POINTS!!!Will give brainlest!!!
Ludmilka [50]
A:16/333 b:16/33 c:12/25
7 0
3 years ago
Other questions:
  • SOMEONE HELP ME IS ANYONE HERE
    14·2 answers
  • Justify why a/b x b/c x c/d x d/ e is equal to a/e when b,c,d, and e are not zero?
    11·1 answer
  • What are three numbers whose products are 9000
    5·2 answers
  • The square root of 7 is between which of the following pair of number?
    12·2 answers
  • One year, the population of a city was 80,000. Several years later it was 66,400. Find
    6·1 answer
  • Find the angle between the following pairs of lines x^2+6xy +9y^2-4x +12y-5 =0​
    9·1 answer
  • Question 3: Choose the correct unit*
    8·1 answer
  • Plz answer help me :(
    7·1 answer
  • Calculate the areas of these shapes. Show your work.
    11·2 answers
  • PLEASE HURRY TEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!