Ask question

Ask question

All categories

s344n2d4d5 [400]

3 years ago

15

William saw painting in a museum, and later found a picture of the same painting in a book. The actual painting measures 36“ x 5

4“. The picture of the paining measured 4“ x 6“. What is the scale factor for the dilation?

1 answer:

victus00 [196]3 years ago

7 0

The scale factor is 1/9.

We compare the image to the actual painting:

4/36 = 1/9.

You might be interested in

What is this fraction in its simplest form?<br>

just olya [345]

Answer:

a^2/3

Step-by-step explanation:

the numerator simplifies to 5a^3 and the bottom is 15a. we can use our exponent rules to subtract exponents, so it is 1/3(a^2). this simplifies to a^2/3.

6 0

3 years ago

Read 2 more answers

Suppose 11 people arrive at a bank at the same time. In how many ways can they line up to wait for the next available teller?

tresset_1 [31]

The answer would be C) because there are 11 possibilities of who can line up first, and after the first person, 10 possibilities, then 9, and so on. So you would need to multiply 11x10x9x8x...x1.

4 0

3 years ago

Which values should you plot to show a linear relationship?

BigorU [14]

Answer:“ C ”

“month” on the x axis and “log” on the y axis

3 0

2 years ago

The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.

tigry1 [53]

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

<h3>What is a slope?</h3>

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

$Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}$

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

7 0

1 year ago

The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.

melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

The common ratio is: $\mathbf{r = \frac{a + 5d}{a + d}}$
The general term of the GP is: $\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}$

The nth term of an AP is:

$\mathbf{T_n = a + (n - 1)d}$

So, the <em>2nd, 6th and 8th terms </em>of the AP are:

$\mathbf{T_2 = a + d}$

$\mathbf{T_6 = a + 5d}$

$\mathbf{T_8 = a + 7d}$

The <em>first, second and third terms </em>of the GP would be:

$\mathbf{a_1 = a + d}$

$\mathbf{a_2 = a + 5d}$

$\mathbf{a_3 = a + 7d}$

The common ratio (r) is calculated as:

$\mathbf{r = \frac{a_2}{a_1}}$

This gives

$\mathbf{r = \frac{a + 5d}{a + d}}$

The nth term of a GP is calculated using:

$\mathbf{a_n = a_1r^{n-1}}$

So, we have:

$\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}$

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

6 0

3 years ago