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
Dafna1 [17]
2 years ago
13

One side of a rectangle is 10 feet shorter than twice another side. Find the length of the shorter side if we also know the peri

meter of the rectangle is 28 feet.
Mathematics
1 answer:
seropon [69]2 years ago
8 0

Answer:

  6 feet

Step-by-step explanation:

Let x represent the length of "another side." Then "one side" is ...

  2x -10 . . . . . . 10 feet shorter than twice another side

The sum of these two side lengths is half the perimeter, so is ...

  x + (2x -10) = 14 . . . . . two sides are half the perimeter

  3x = 24 . . . . . . . . . . . . add 10, collect terms

  x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x

  (2x -10) = 2·8 -10 = 6 . . . . find "one side"

We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.

You might be interested in
A room is 20 feet by 25 feet with a 10-foot ceiling. If Mickey paints the walls and the ceiling, how much surface area will he c
Svetradugi [14.3K]

Answer:

1400ft²

Step-by-step explanation:

Given

Room Dimension: 20 ft by 25 ft by 10 ft

Where Length = 20 ft

Width = 25 ft

Height = 10 ft

Required

Surface area of painted walls and ceiling

We'll assume that the room is rectangular in shape and all 4 sides are covered.

<em>This means that Mickey will paint 4 walls and 1 ceiling.</em>

The dimension of the 2 of the 4  walls is as follows;

20ft by 10ft, 25ft by 10ft,

Because opposite sides of a rectangle are equal, the dimension of the remaining 2 walls is: 20ft by 10ft, 25ft by 10ft

Calculating the area of the 4 walls;

Area = 20ft * 10ft + 25ft * 10ft + 20ft * 10ft + 25ft * 10ft

Area = 200ft^2 + 250ft^2 + 200ft^2 + 250ft^2

Area = 900ft^2

The dimension of the ceiling is as follows:

20ft by 25ft

Calculating the area of the ceiling

Area = 20ft * 25ft

Area = 500ft^2

So, the area Micky will cover = Area of 4 walls + Area of ceiling

Total Surface Area = 900ft^2 +500ft^2

Total Surface Area = 1400ft^2

Hence, Micky will cover 1400ft²

6 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!!<br><br> Divide.
ikadub [295]

Answer:

  The correct answer is marked.

Step-by-step explanation:

The solution is easily found using synthetic division. The attachment shows how that is done, and what the result is.

3 0
2 years ago
Determine the circumference of<br>a circle with diameter 28 cm. Show your work​
gulaghasi [49]

Answer:

Step-by-step explanation:

Diameter = 28 cm

therefore, radius = 28 / 2 = 14 cm

Circumference = 2 π r

= 2 × 22 / 7 × 14

= <u><em>88 cm</em></u>

Hope this helps

plz mark as brainliest!!!!!

8 0
3 years ago
Read 2 more answers
Simplify (3 + 2i)(7 − 5i).
erma4kov [3.2K]
Rule needed: i^2 = -1
Standard form a + bi

(3 + 2i)(7 - 5i) FOIL
3 * 7 = 21
3 * - 5i = - 15i
2i * 7 = 14i
2i * -5i = - 10i^2 = - 10 * -1 = 10
Putting it all back together.
31 - i
8 0
2 years ago
Read 2 more answers
Find the area of the parallelogram
marshall27 [118]

Answer:

The answer is B

Step-by-step explanation:

To find the area of a parallelogram you need to multiply base by height

In this problem the base is 67 square ft and the height is 52 square feet 67 times 52 = 3484

6 0
3 years ago
Other questions:
  • A lamp sold for $17.60, which represented a 12% discount. What was the original price of the lamp​
    15·2 answers
  • Two consecutive even integers have a sum of 42. what are the integers
    7·1 answer
  • Jonna is 4 years older than her brother. Which of the following expressions shows the sum of their ages if b represents Jonna's
    8·1 answer
  • If granola costs $2.30 per pound, how much does 0.7 Pound of granola cost?
    5·2 answers
  • 3х + 5x — 6 = 26<br> Solve it
    7·2 answers
  • Which of the following tables represents a function?<br> A. <br> B. <br> C. <br> D.
    5·1 answer
  • Joshua uses his thermometer and finds the boiling point of ethyl alcohol to be 75o C. He looks in a reference book and finds tha
    9·2 answers
  • Find the value of x in the proportion. Check your answer.
    11·1 answer
  • A family drives an average speed of 60 miles per hour on a trip from Pensacola to Orlando.
    8·1 answer
  • Which​ rule(s) for exponents did you​ use? Select all that apply.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!