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
e-lub [12.9K]
2 years ago
15

5. Write two expressions for the area of the big rectangle. ​

Mathematics
1 answer:
4vir4ik [10]2 years ago
3 0

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

You might be interested in
The perimeter of a 5 sided figure is 45.56 meters. Two of the sides have the same length. The sum of the other three side length
klio [65]

Let

x---------> the length of the sides that have the same length in meters

we know that

the perimeter of the figure is equal to

45.56=(24.2+2x)

<u>solve for x</u>

2x=45.56-24.2

x=21.36/2

x=10.68\ m

therefore

<u>the answer is</u>

Each of the same length side is 10.68\ m  long


3 0
3 years ago
I need major help pls help
Nesterboy [21]

Answer:

No, since 832 ≠ 900, using Pythagorean theorem, the width should be 18 in

Step-by-step explanation:

It is better to type the question in the 'Question' than the fact that you need help so that we can start seeing the problem immediately.

A rectangle has 4 right angles so if l = 24 and w = 16 then you can use the pythagorean theorem to see if this is possible since

24^2 + 16^2 = 30^2 since the diagonal is the hypotenuse of the triangles formed by the diagonal in the rectangle.  

576 + 256 ≠ 900, since the left side is 832 and the right side is 900

It would be more correct if the width is 18 since 576 + 18^2 = 900

6 0
3 years ago
It is known that the length of time that people wait for a city bus to arrive is right skewed with mean 6 minutes and standard d
Natali [406]

Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that \sigma = 4

A sample of 25 wait times is randomly selected.

This means that n = 25

What is the standard deviation of the sampling distribution of the sample wait times?

s = \frac{4}{\sqrt{25}} = 0.8

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

4 0
2 years ago
HELP HELP !!!!!!!!!!!!!!!!!!!!!
netineya [11]

Answer:

b

Step-by-step explanation:

(1/2)÷4=1/8

so it is one in 8 parts.

7 0
3 years ago
Read 2 more answers
if the area of the rectangle shown is 150 square feet, we can use the equation 2x squared - 5x = 150 to find its dimensions. if
Juliette [100K]
Factoring the left side of the equation

x(2x-5) = 150  

x = 10 so the dimension are 10 and (2(10) - 5  = 15

length = 15 feet , width = 10 feet.
5 0
3 years ago
Other questions:
  • The total weight inside the elevator after you get on. Dependent or independant
    15·1 answer
  • Sally had 2/9 of a cup of pudding as a snack after school and she had 1/4 of a cup of pudding as dessert after dinner. Sally est
    11·1 answer
  • Customers of a phone company can choose between two service plans for long distance calls. The first plan has a 26
    10·2 answers
  • Use the table above to answer the question. Keith Jones purchased a $70,000 policy. At the fifth anniversary, what
    5·1 answer
  • A blue rope is three times as long as the red rope. A green rope is five times as long as the blue rope. If the total length is
    9·1 answer
  • What is the scale factor &amp; what are the x &amp; y values?
    15·1 answer
  • Bulan rows on a crew team. Her team rows their boat at a split (rate) of 2 min/500 m.
    5·2 answers
  • A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shi
    8·2 answers
  • A cylinder has a height of 12 feet and a radius of 13 feet. What is its volume? Use ​ ≈ 3.14 and round your answer to the neares
    10·1 answer
  • Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!