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4 years ago

What set of reflections would carry rectangle ABCD onto itself?

Mathematics

1 answer:

mario62 [17]4 years ago

8 0

Answer:

D) y=x, x-axis, y=x, y-axis.

Step-by-step explanation:

hope it helps :3

Reflection over the line y = x => (a,b) → (b,a)

Reflection over the x-axis => (b,a) → (b,-a)

Reflection over the line y = x => (b,-a) → (-a,b)

Reflection over the y-axis => (-a,b) → (a,b).

You might be interested in

The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

4 years ago

Please help! I will mark brainliest! No random answers please

enot [183]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

A furniture company manufactures desks and chairs. Each desk uses four units of wood, and each chair uses three units of wood. A

Pavlova-9 [17]

Answer:

$180000

Step-by-step explanation:

Let's c be the number of chair and d be the number of desks.

The constraint functions:

- Unit of wood available 4d + 3c <= 2000 or d <= 500 - 0.75c

- Number of chairs being at least twice of desks c >= 2d or d <= 0.5c

c >= 0

d >= 0

The objective function is to maximize the profit function

P (c,d) = 400d + 250c

We draw the 2 constraint functions (500 - 0.75c and 0.5c) on a c-d coordinates (witch c being the horizontal axis and d being the vertical axis) and find the intersection point 0.5c = 500 - 0.75c

1.25c = 500

c = 400 and d = 0.5c = 200 so P(400, 200) = $250*400 + $400*200 = $180,000

The 500 - 0.75c intersect with c-axis at d = 0 and c = 500 / 0.75 = 666 and P(666,0) = 666*250 = $166,500

So based on the available zones in the chart we can conclude that the maximum profit we can get is $180000

7 0

4 years ago

In science class sara needed 8 test tubes for 3 different experiments. The first experiment required 2 test tubes and the other

photoshop1234 [79]

Answer:

as we know Sara need 8 tube in 3 experiment

she will use 2 tube in 1 experiment

now she have 6 tube in other experiments

so the question said to find how many tube were used in both experiment equally so 3,3 test tube were needed for each of the other two experiment

Step-by-step explanation:

total tube=8 (3 experiment)

used =2tube (1 experiment)

remaining=8-2=6

now ,

dividing 6 into 2 equal part

so,=6/2=3

so 3 tube were used in 2nd experiment and 3in 3rd experiment

6 0

3 years ago

Lucy had math and reading homework tonight. Lucy can solve each math problem in 5 minutes and she can read each page in 2.5 minu

drek231 [11]

Answer:

$x=18,y=6$ , graph is there for reference.

Step-by-step explanation:

Given,

$x$ is the number of math problem Lucy solved.

$y$ is the number of pages she read.

She can do each math problem in $5$ minutes, therefore she can solve $x$ number of questions into $5 \times x=5x$ minutes.

She can read each page in $2.5$ minutes, therefore she can read $y$ pages in 2.5y minutes.

As per given detail,

$5x+2.5y=105$ equation 1.

And,

It is given that number of math problems Lucy solved is 3 times the number of pages she read.

$x=3y$ equation 2.

We need to find $x$ and $y$ intercept of each of the equation to graph them.

For $x-intercept$ put y=0

We will get $x=\frac{105}{5} =21$

Thus the point is $(21,0)$

Let us find $y-intercept$ by assuming $x=0$

we get $y=\frac{105}{2.5} =42$

Thus the point is $(42,0)$

Join these two points.

Similarly considering the other equation $x=3y$

Here x-intercept would be at $y=0$

We will get $x=0$

Thus the point is $(0,0)$

Let us assume on more point, say $x=30$ , we get $y=10$

Thus the point is $(30,10)$

Join these two points.

We will get a point of intersection at $(18,6)$

Thus $x=18$ and $y=6$

8 0

4 years ago