The two solids are similar and the ratio between the lengths of their edges is 2:9. What is the ratio of their surface areas?Can you also help me with the 2nd attachment, the question is on the picture?

Answers

Answer 1

Answer: Hello,

During a dilatation of ratio k (length ratio),
area are multiplied by k² and volume bu k^3.

A)
(2/9)²=4/81 answser A

B) (3/5)²=9/25 Answer D

Answer 2

Answer:

we know that

If two solids are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

In this problem

$scale\ factor= (2)/(9)$

The ratio of their surface areas is equal to the scale factor squared

$scale\ factor^(2)=( (2)/(9))^(2) =(4)/(81)$

therefore

the answer is the option A

$(4)/(81)$

Part 2)

In this problem

$scale\ factor= (3)/(5)$

The ratio of their surface areas is equal to the scale factor squared

$scale\ factor^(2)=( (3)/(5))^(2) =(9)/(25)$

therefore

the answer is the option D

$(9)/(25)$

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Which choice correctly describes this event? I will pull a blue marble at random out of a jar with 49 red marbles and 1 blue marblea) certain
b) impossible
c) likely
d) unlikely

Answers

The probability of pulling one marble out of a jar containing 49 red marble and 1 blue marble is 1 / 50, hence it is an unlikely event, so option D is correct.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a value between 0 and 1.

Given:

Pull a blue marble at random out of a jar with 49 red marbles and 1 blue marble,

Calculate the probability of pulling blue marble as shown below,

Probability = number of blue marble / total marble

Probability = 1 / 49 + 1

Probability = 1 / 50

As you can see here, the probability of the event pulling the blue marble in the jar is not dependent on the probability of pulling the red marble as there is only one marble so, it is an example of an unlikely event.

We know that the probability of an unlike event is between 0 and 1 / 2 and here probability is 1 / 50,

Thus, it is an unlikely event.

To know more about Probability:

brainly.com/question/743546

#SPJ5

Answer:D. Unlikely

Step-by-step explanation:

8 and 2 quadratic equations with the given roots.

Answers

I am assuming you meant 8 and 2 are the roots of the equation...

y= (x-2)(x-8)

y= x²-8x-2x+16

y= x²-10x+16

Evaluate the expression for x = 4, y = 1:

x + 12
y + 3

Answers

16 on the top and 4 on the bottom

multiply Express your answer in lowest terms 1/6 * 5/7 =

Answers

the answer is 5/42 multiply 1*5=5 and 6*7=42 the 5 is the numerator and the denominator is 42 so you get 5/42.

Which choice is equivalent to the expression below?√28+8√7

A.8√35
B.12√7
C.10V7
D.9V35

Answers

$√(28)+8\sqrt7=√(4\cdot7)+8\sqrt7=\sqrt4\cdot\sqrt7+8\sqrt7=2\sqrt7+8\sqrt7=10\sqrt7\n\nAnswer:C.$

$√(28)+8\sqrt7=\n 2\sqrt7+8\sqrt7=\n 10\sqrt7$

What transformation is represented by the rule
(x, y)→(−y, x)

Answers

x and y are switched and y times -1 so

reflection across the x=y line (identiy line)
and since the x place it times -1, that is a reflection across y axis

so reflection across x=y line and y axis

it is going from quadrant 1 to quadrant 4.

it is reflected right?

sorry it has been a while since I have done this but I hope it helps :)