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2 years ago

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).

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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 $\sigma = 4$