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3 years ago

Which rigid transformation(s) can map ABC onto FED

Mathematics

2 answers:

coldgirl [10]3 years ago

8 0

Answer:

Option B. reflection then translation.

Step-by-step explanation:

It has been given in the question that Δ ABC and ΔFED are congruent by SSS congruence theorem.

ΔFED is the picture image of ΔABC and slightly shifted towards left.

Therefore, we can tell about the transformations that if ΔABC is reflected on x-axis and translated towards left, it can map ΔFED.

Option B is the answer.

bogdanovich [222]3 years ago

7 0

Answer:

I believe it would be B) Reflection, then translation

Step-by-step explanation:

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a section of ground measures 1.5 cubic meters and contains 0.78 gram of gold. what is the amount of gold per cubic meter? explai

I am Lyosha [343]

The answer

<span>the amount of gold per cubic meter can be found by the ratio

0.78 g /1 </span><span>.5 cubic meters = 0.52 g / cubic meter,
proof
it was said </span><span>the amount of gold per cubic meter (Density)</span>

7 0

3 years ago

PLEASE HELP!!! I don't understand it

Len [333]

Answer:

Step-by-step explanation:

This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is

$y=a(b)^x$ , or in our case:

$A(n)=a(b)^{n-1}$ , where

a is the initial height of the ball and

b is the decimal amount the bounce decreases each time. For us:

a = 1.5 and

b = .74

Filling in,

$A(n)=1.5(.74)^{n-1}$

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:

$A(6)=1.5(.74)^{6-1}$ which of course simplifies to

$A(6)=1.5(.74)^5$ which simplifies to

$A(6)=1.5(.22190066)$

So the height of the ball is that product.

A(6) = .33 cm

A is your answer

3 0

3 years ago

A coin is tossed 8 times. What is the probability of getting all heads? Express your answer as a simplified fraction or a decima

kumpel [21]

Answer:

The probability of getting all heads is $\frac{1}{256}$ .

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that:

A coin is tossed 8 times. This means that $n = 8$

In each coin toss, heads or tails are equally as likely. So $p = \frac{1}{2}$

What is the probability of getting all heads?

This is $P(X = 8)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$[tex]P(X = 8) = C_{8,8}*(\frac{1}{2})^{8}*(1 - \frac{1}{2})^{0}$ = $\frac{1}{256}$

The probability of getting all heads is $\frac{1}{256}$ .

7 0

3 years ago

Anya makes a scale drawing of a bug. The scale of the drawing’s length to the actual bug’s length is 2 inches: 1/8 inch. The act

ioda

<h2>Hello!</h2>

The answer is: The Anya's drawing is 6 inches long.

Have a nice day!

To solve this problem, we need to consider the drawing's length with respect to the actual bug's size, so, the scale factor is:

$2in:\frac{1}{8}in\\\\2x(in):\frac{3}{4}in$

So, how long is Anya's drawing of the bug?

We can find it, using the following equation:

$(2x)in=\frac{2in*\frac{3}{4}in}{\frac{1}{8}in}=\frac{\frac{6}{4}in}{\frac{1}{8}in}=\frac{\frac{3}{2}in }{\frac{1}{8}in}\\\\(2x)in=\frac{\frac{3}{2}in }{\frac{1}{8}in }=\frac{3}{2}in*\frac{8}{1}in=12in^{2}\\\\(2x)in=12in^{2} \\\\x=\frac{12in^{2} }{2in}=6in$

Hence, the Anya's drawing is 6 inches long.

Have a nice day!

7 0

3 years ago

3/-4 y = 18. solve for y

Leokris [45]

Answer:

y=-24

Step-by-step explanation:

3 0

3 years ago