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3 years ago

7

A painting is hung on a wall as shown in the diagram below. The painting measures 3 feet by 2 feet. What is the area of the wall

not covered by the painting?

1 answer:

Fittoniya [83]3 years ago

5 0

Uh where is the diagram?

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A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Art [367]

The area of sector is 1.57 m²

<u>Explanation:</u>

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = $\frac{1}{2} r^2 \alpha$

where,

α is the central angle in radians

On substituting the value we get:

$A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2$

Therefore, the area of sector is 1.57 m²

5 0

3 years ago

How does the amount of principal affect the number of years the rule of 72 predicted in the example above?

NeTakaya

Answer:

If the interest per quarter is 4% (but interest is only compounded annually), then it will take (72 / 4) = 18 quarters or 4.5 years to double the principal. If the population of a nation increases at the rate of 1% per month, it will double in 72 months, or six years.

Step-by-step explanation:

hope this helps

8 0

2 years ago

Divide x4+2x2−24<br> by x+2

Ipatiy [6.2K]

$\begin{array}{c|c}_{-}\ x^4+2x^2-24 &\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! \underline{ x+2 } \\ \!\!\!\!\!\!\!\!\!\!\! \underline{x^4+2x^3}& x^3-2x^2+4x-8 \\{ \big{_{-}}}-2x^3-24& \\\underline{-2x^3-4x^2}& \\ _{-} \ 4x^2-24 & \\ \underline{4x^2+8x}& \\ _{-}-8x-24& \\ \underline{-8x-16} & \\ -8 &\end {array }$

$\displaystyle \frac{x^4+2x^2-24}{x+2} =x^3-2x^2+4x-8 -\frac{8}{x+2}$

7 0

2 years ago

Read 2 more answers

A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to

kodGreya [7K]

Using the Central Limit Theorem, the correct option is:

(c) Average number of miles put on a rental car per day across 25 customers.

--------------------------

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

The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.

A similar problem is given at brainly.com/question/23088374

5 0

2 years ago

If Callum is consuming his utility maximizing bundle and the price of one good rises, what happens to the marginal utility per d

monitta

Answer:

MU/P has decreased and Callum should buy less of the good.

Step-by-step explanation:

8 0

3 years ago