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2 years ago

Trapezoid FGHI is rotated using the origin as the center of rotation. The preimage and image are graphed below.

Mathematics

2 answers:

skelet666 [1.2K]2 years ago

8 0

The rotated image if below the original image, so this shows it was rotated clockwise.

In the original image line FG is a horizontal line, if it is rotated 90 degrees, it would become a vertical line. In the rotated image line FG is at an angle, so this means it was rotated 45 degrees.

The answer is a 45 degree clockwise rotation.

Alisiya [41]2 years ago

8 0

Answer: A 45° clockwise rotation transformed FGHI to F’G’H’I’.

Step-by-step explanation:

Hi, to answer this question we have to analyze the image.

The correct option is A 45° clockwise rotation.

If we put our focus in one line of the trapezoid, for example, the line FG we can see that if we compare the line FG with F'G', F'G' is positioned in a 45° angle (positive).

Feel free to ask for more if it´s necessary or if you did not understand something.

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Gourmet Pretzels bakes soft pretzels on an assembly line. It currently bakes 800 pretzels each eight-hour shift. If the producti

Delvig [45]

Answer:

Change in productivity will be 50%

So option (b) will be correct option

Step-by-step explanation:

It is given that it takes 8 hour to bake 800 pretzels

And there is a shift of 8 hours

So hourly production = $\frac{800}{8} =100$

Now the production is increases to 1200

Now hourly production = $\frac{1200}{8}=150$

So change in productivity = $\frac{150-100}{100}=50$ %

So option (b) will be correct answer

6 0

3 years ago

HELP

andreev551 [17]

Answer:

A. y = 80x

B. g(x) = 80x

C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.

Step-by-step explanation:

Part A:

To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.

x and y remain the same in the equation.

To find m, use the slope formula with (5,465) and (7, 625).

$m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80$

It costs $80 a day.

The equation is y = 80x.

Part B:

Function notation replaces Y as g(x). So the equation is g(x) = 80x.

Part C:

To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.

6 0

3 years ago

144 flowers in a vase the ratio of yellow to pink flowers is 5 to 6 how many yellow flowers are in the vase

azamat

$\frac{5}{11} \times 144 \: is \: the \: amount \: of \: yellow \: flowers \\ \\ \frac{5}{11} \times 144 = 65.45 = 65$
therfore there is 65 yellow flowers

4 0

3 years ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 19.7, \sigma = 2$

What percentage of average city temperatures are higher than that of Cairo?

This is 1 subtracted by the pvalue of Z when X = 21.4.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21.4 - 19.7}{2}$

$Z = 0.85$

$Z = 0.85$ has a pvalue of 0.8023

1 - 0.8023 = 0.1977

19.77% of average city temperatures are higher than that of Cairo

6 0

2 years ago

HELP PLEASE! I don't understand and have been stuck on this problem for a whole hour. Please explain. Also, none of the answers

Lyrx [107]

The altitude is the mean proportional between the left and right parts of the hyptenuse

$\cfrac{FI}{GI} = \cfrac{GI}{HI} \ \ \Rightarrow \ \ \cfrac{FI}{15} = \cfrac{15}{16} \ \ \Rightarrow \ \ FI= \cfrac{15 \cdot 15 }{16} \approx 14.1$

Answer: 14.1

5 0

3 years ago

Read 2 more answers