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
Elena-2011 [213]
2 years ago
12

A carpenter wants to expand a square room. The new room will have one side 4 feet longer and the adjacent side 6 feet longer tha

n the original room. The area of the new room will be 144 square feet greater than the area of the original room. What are the dimensions of the original room?
Mathematics
1 answer:
gogolik [260]2 years ago
8 0

Answer:

  Dimensions of original room = 12 x 12 feet.

Explanation:

 Let the size of old square room be a x a.

 New dimension = ( a+4 ) x ( a + 6 )

   We have area of the new room will be 144 square feet greater than the area of the original room.

  So,     ( a+4 ) x ( a + 6 ) = a x a + 144

              a²+10a+24= a²+144

              10a = 120

                  a = 12 feet.

 Dimensions of original room = 12 x 12 feet.

 

You might be interested in
Estimate the difference between the decimals 9.25 and 6.5 by rounding to the nearest whole number before subtracting.
Nat2105 [25]

Answer:

3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve the following system: (5 points)
posledela
I wish I could help but I didn’t learn that
5 0
3 years ago
Read 2 more answers
Given sin x =-4/5 and x is in quadrent 3, what is the value of tan x/2
4vir4ik [10]

Answer:

We can write sin x in terms of tan x/2 using the formula:

⇒ sin x = (2 tan (x/2)) / (1 + tan2(x/2))

Therefore, using the above formula, we can find the values of tan x/2 by putting the value of sin x.

⇒ -4/5 = (2 tan (x/2)) / (1 + tan2(x/2))

Now, if we replace tan (x/2) by y, we get a quadratic equation:

⇒ 0.8y2 + 2y + 0.8 = 0

⇒ 2y2 + 5y + 2 = 0

By using the quadratic formula, we get y = -0.5, -2

Hence, the value of tan (x/2) = -0.5, -2

Now, we have two solutions of tan (x/2).

Now, let's check for the ideal solution using the formula tan x = (2 tan (x/2)) / (1 - tan2(x/2)).

For tan (x/2) = -0.5:

⇒ tan x = 2(-0.5) / 1 - (-0.5)2 = -4/3

It is also given that x lies in the third quadrant. We know that tan is positive in the third quadrant, and here we get tan x = -4/3 which is negative.

Hence, we can say that tan (x/2) = -0.5 is not a correct solution. Hence it is rejected.

Now let's check for tan (x/2) = -2.

⇒ tan x = 2(-2) / 1 - (-2)2 = 4/3

Here, we get tan x = 4/3 which is positive.

Hence, we can say that tan (x/2) = -2 is a correct solution.

5 0
3 years ago
Is the answer number 1? I can't get anymore wrong sorry for lengthy problem thanks!
mezya [45]
The area of the circle shown would not be 5pi. If you look closer, the area is 25pi, therefore the answer is 3. I hope this helps!
8 0
3 years ago
Point J is on line segment IK. Given JK = 2x – 1, IK = 3x + 2,
Serhud [2]

Answer:

JK=7

Step-by-step explanation:

From the line segment, since J is on it ,it means the line segment is

represented as I J K

from this illustration, we can say that the longest part of the line segment is from I to K

this means that, IJ +JK =IK

making JK the subject,

JK= IK - IJ

but from the question, JK=2x-1 , IK=3x+2 and IJ=3x-5

substituting them in the expression,

2x-1 =3x+2 -(3x-5)

solving for x

2x-1 =3x+2-3x+5

2x-1 =0+7

2x-1 =7

2x=1+7

2x=8

dividing through by 2

2x/2 =8/2

x=4

but the question says we should find the numerical value for JK

but from the line segment,

JK=2x-1

but now we know the value of x to be 2

so substituting it in the formula

JK= 2(4)-1

JK=8-1

JK=7

therefore, the numerical value for JK is 7

4 0
3 years ago
Other questions:
  • A fair coin is tossed repeatedly with results Y0, Y1, Y2, . . . that are 0 or 1 with probability 1/2 each. For n ≥ 1 let Xn = Yn
    8·1 answer
  • 3x-4 when x = 7 how do I do this equation I’m confused
    5·2 answers
  • .) A population of values has a normal distribution with μ=27.5 and σ=71.5. You intend to draw a random sample of size n=180.
    6·1 answer
  • Drew is driving to a baseball game that is 180 miles away. He leaves at 9.00am and averages 60 miles per hour. what time will he
    12·1 answer
  • Help! 20 points. Show step-by-step solution.
    11·1 answer
  • In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant
    7·2 answers
  • Help ASAP! Will give Brainliest!
    6·1 answer
  • Calculate the remaining values: de a y b​
    14·1 answer
  • There are 5 triangle congruence theorems. Two of them are Hypotenuse Leg (HL) and Angle Angle Side (AAS). Write down one more th
    13·1 answer
  • How many pounds of bananas cost $3.75?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!