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
NikAS [45]
4 years ago
5

The area of a room is 425 square feet. The length is (x+10) and the width is (x+2) feet. Find the dimensions of the room.

Mathematics
1 answer:
podryga [215]4 years ago
7 0

Answer:

length = 25 feet and width = 17 feet

Step-by-step explanation:

area (A ) = length × width, hence

A = (x + 10)(x + 2) ← expand factors

  = x² + 12x + 20

given A = 425, then

x² + 12x + 20 = 425 ( subtract 425 from both sides )

x² + 12x - 405 = 0 ← in standard form

(x + 27)(x - 15) = 0 ← in factored form

equate each factor to zero and solve for x

x + 27 = 0 ⇒ x = - 27

x - 15 = 0 ⇒ x = 15

but x > 0 ⇒ x = 15, therefore

length = 15 + 10 = 25 feet and width = 15 + 2 = 17 feet


You might be interested in
Serena has attached a 10 inch ribbon to the corners of a frame to hang it on the wall. The frame 9 inches wide. How far above th
kherson [118]

Answer: The hook would be 2.2 inches (approximately) above the top of the frame

Step-by-step explanation: Please refer to the picture attached for further details.

The top of the picture frame has been given as 9 inches and a 10 inch ribbon has been attached in order to hang it on a wall. The ribbon at the point of being hung up would be divided into 5 inches on either side (as shown in the picture). The line from the tip/hook down to the frame would divide the length of the frame into two equal lengths, that is 4.5 inches on either side of the hook. This would effectively give us two similar right angled triangles with sides 5 inches, 4.5 inches and a third side yet unknown. That third side is the distance from the hook to the top of the frame. The distance is calculated by using the Pythagoras theorem which states as follows;

AC^2 = AB^2 + BC^2

Where AC is the hypotenuse (longest side) and AB and BC are the other two sides

5^2 = 4.5^2 + BC^2

25 = 20.25 + BC^2

Subtract 20.25 from both sides of the equation

4.75 = BC^2

Add the square root sign to both sides of the equation

2.1794 = BC

Rounded up to the nearest tenth, the distance from the hook to the top of the frame will be 2.2 inches

4 0
3 years ago
3/6+2/6?<br> 7/5+4/10?<br> 3/6+5/3
shepuryov [24]

Answer:

1) 5/6

2) 18/10 (mixed fraction is 8)

3) 13/6 (mixed fraction is 6⅙)

3 0
3 years ago
Read 2 more answers
PLZ HELP I AM FAILING MATH!!
Yuliya22 [10]

Answer:

4

Step-by-step explanation:

Given algebraic expression: 6x^3y+7x^2+5x+46x3y+7x2+5x+4

We know that the constants are the terms in the algebraic expression that contain only numbers.  

In the given expression only last term has only numerical value and no variable, rest of them have variable x.

Therefore, the constant term in the given algebraic expression  6x^3y+7x^2+5x+46x3y+7x2+5x+4 is 

6 0
3 years ago
Why would engineers and architects need to find angles in a polygon
agasfer [191]
As a engineer who was mechanical then electrical most buildings, schematics,etc require some form of calculation for some shapes seeing that those shapes are what make up the world. Say for example you need to make something like a mother board pro house knowing it's shape and angle helps make a more accurate structure during the blue printing and build phase. No one just goes in and wings it you need to determine angles for things you don't know that the point of it.
8 0
4 years ago
The cartesian coordinates of a point are given. (a) (2, −2) (i) find polar coordinates (r, θ) of the point, where r &gt; 0 and 0
lora16 [44]
It would be r,o beacuse of the grid cordinates in the sentence

5 0
3 years ago
Other questions:
  • An expression that represents the sum of B and 5 times 2
    9·1 answer
  • Zhang thinks that the value of a baseball card can be modeled by exponential decay and that the value will decrease at a rate of
    7·2 answers
  • Susan and John are buying cold drinks for a neighborhood picnic. Each person is expected to drink one can of soda. Susan says th
    5·2 answers
  • Enter the value of 5.2+(-5)-(-0.4).
    10·2 answers
  • A bag contains 3 green marbles and 8 white marbles. Suppose a marble is randomly selected. What are the odds in favor of picking
    14·2 answers
  • I HELP NEED ASAP PLZ HELP ME
    6·2 answers
  • A)
    11·1 answer
  • 1,992 registered voters were ask "Based on what you know, do you believe the United States is winning or losing the War in Afgha
    8·1 answer
  • If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
    13·2 answers
  • Combine these radicals - square root 5 - 3 square root 5
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!