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3 years ago

A pre-image and its image under a translation have the same orientation?

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

8 0

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

In addition, the corresponding segment sides of the pre-image and image are parallel.

You might be interested in

A rectangle has a length two times the width. Describe how you would find the

IRINA_888 [86]

Answer:

perimeter = 6w

area = 2w^2

Step-by-step explanation:

we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w

area is width x length or 2w^2

4 0

3 years ago

Read 2 more answers

A patient requires an IV of D5W, a 5% solution of dextrose (sugar) in water. To the nearest milliliter, how much D20W, a 20% sol

solmaris [256]

Answer:

$A=300ml$

Step-by-step explanation:

From the question we are told that

5% solution of dextrose sugar in water

20% solution of dextrose in

100 milliliters of distilled water water

Generally in mathematically solving we call A the amount of D20W added

Since 20% of dextrose is needed

$20 \%*100=20milliter$

Total quantity after addition (100+x)

for DW5% total solution is

$5\% (100+A)= \frac{5}{100}(100+A)$

$5\% (100+A) =5+0.05A$

Mathematically

$5+0.05A =20$

$5+0.05A =20-5$

$A=\frac{15}{0.05}$

$A=300ml$

Therefore the required quantity $A=300ml$

7 0

3 years ago

A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow

Harman [31]

Answer: 48 ft

Step-by-step explanation:

Given

Height of street light h=12 ft

length of shadow x=18 ft

Shadow length of building x'=72 ft

suppose the height of the building is y

from the figure, we can write

$\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft$

7 0

3 years ago

Using the rule of 72, ? -

Kay [80]

12 years
just for extra space

5 0

3 years ago

A researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 50% of this population prefers t

djyliett [7]

To solve this question, use the Binomial probability formula.

The formula is given by

$^nC_xp^x(1-p)^{n-x}$

Where:

n = the number of trials

x = the sample we aim to try

p = the probability of success

In this question:

n = 16

x = 9

p = 0.5

Substituting in the equation:

$\begin{gathered} ^nC_xp^x(1-p)^{n-x} \\ ^{16}C_9*0.5^9(1-0.5)^{16-9} \\ \end{gathered}$

And the combination formula:

$^nC_x=\frac{n!}{(n-x)!*x!}$

Then:

$\begin{gathered} \frac{16!}{(16-9)!*9!}*0.5^9(1-0.5)^{16-9} \\ \frac{16!}{7!*9!}*0.5^9*0.5^7 \\ 11440*0.00195*0.0078 \\ =0.1746 \end{gathered}$

Answer: The probability is 0.1746.

6 0

1 year ago