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
GarryVolchara [31]
3 years ago
10

The length of a rectangle is 3 centimeters less than four times its width. Its area is 10 square centimeters. Find the dimension

s of the rectangle.
Mathematics
1 answer:
Kay [80]3 years ago
8 0

Answer:

W = 2 cm

L = 5 cm

Step-by-step explanation:

A rectangle is a four sided shape with 4 perpendicular angles. It has two pairs of parallel sides which are equal in distance: width and length. Its area, the amount of space inside it, can be found using the formula A = l*w. If the area is 10 cm² and the length is "3 cm less than 4 times the width" or 4w - 3, you can substitute and solve for w.

A = l*w

10 = (4w - 3)(w)

10 = 4w² - 3w

Subtract 10 from both sides to make the equation equal to 0. Then solve the quadratic by quadratic formula.

4w² - 3w - 10 = 0

Substitute a = 4, b = -3 and c = -10.

w = \frac{3 +/- \sqrt{(-3)^2 - 4(4)(-10)} }{2(4)} = \frac{3 +/- \sqrt{9 +160)} }{8} =  \frac{3 +/- \sqrt{169} }{8} = \frac{3+/-13}{8}

There are two possible solutions which can be found.

3 + 13 / 8 = 16/ 8 = 2

3 - 13 / 8 = -10/8 = -5/4

Since w is a side length or distance, it must be positive so w = 2 cm.

If the width is 2 cm then the length is 4(2) - 3 = 8 - 3 = 5 cm.

You might be interested in
What is the slope of the line
abruzzese [7]

Answer:

1/3

Step-by-step explanation:

3 0
3 years ago
Factor the expression. 81y+54
seraphim [82]

Answer:

    27 • (3y + 2)

Step-by-step explanation:

    27 • (3y + 2)

Hope this helps

4 0
3 years ago
a cirlcular patio has a diameter of 26ft. inside it is a round flower garden with a diameter of 6ft. to edge the patio and the g
Luden [163]

Answer: C just took the test

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Slope = -1/6; (12,-2)
stira [4]

Equation is y = -1/6x

Step-by-step explanation:

  • Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

⇒ y = mx + b

⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

∴ b = 0

  • Step 2: Write the equation in slope intercept form.

⇒ y = -1/6x + 0

⇒ y = -1/6x

4 0
3 years ago
Solve to find side C please
Alex73 [517]

Answer:

c= 18.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos theta = a/c

cos 57 = 10/c

Multiply each side by c

c cos 57 =10

Divide each side by cos 57

c = 10/cos 57

c=18.36078459

Rounding to the nearest tenth

c= 18.4

6 0
3 years ago
Other questions:
  • For which points in the same quadrant as(2,-10)could Tamara use a number line to find the distance?
    11·1 answer
  • Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s
    12·1 answer
  • HELP QUICK PLEASE! THANKS
    14·1 answer
  • Neeed help pleaseeeeee????
    8·2 answers
  • Solve for X on each<br>a. 3x-7=3x+1<br>b. -2x-5=-4+2​
    5·1 answer
  • The trail starts at P(−2, 2) and goes to Q(5, 2).
    8·1 answer
  • Need help asap! :(( please
    14·1 answer
  • HELP PLS i really need help
    9·1 answer
  • Which is equal to (6 times 9) plus (6 times 8)
    7·2 answers
  • Chuck-A-Luck: To win any money, at least two of your dice must show the same number. What's the likelihood of winning anything a
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!