The similar triangle is the image of the bigger triangle after a sequence of transformations. What is the value of x?

Answers

Answer 1

Answer:

The value of x is: 2.5 units

Step-by-step explanation:

Two triangles are said to be similar if the ratio of the corresponding sides of the two triangles are equal.

i.e. if two triangles ΔABC and ΔDEF are similar such that the sides of the triangle ABC are a, b and c and the corresponding sides in ΔDEF are d,e and f respectively then we have:

$(a)/(d)=(b)/(e)=(c)/(f)$

Here we have the base length of the orange i.e. the quadrant above the x-axis as: 8 units

and the base length of the similar triangle i.e. triangle below x-axis as: 4 units.

i.e. we have: a=8 and d=4

and b=5 and e=x

Hence, we have:

$(5)/(x)=(8)/(4)$

i.e.

$x=(5* 4)/(8)$

Hence, we have:

$x=2.5$

Answer 2

Answer: We have
$(5)/(x) = (8)/(4) \: so \n 20 = 8x \: so \n x = (20)/(8) = (10)/(4) = (5)/(2) = 2 (1)/(2)$

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Find the perimeter of this quarter circle with radius, r= 2mm.Give your answer as an expression in terms of π.
What is the answer to (2a^4/b^5)^3

Si a un numero le sumas su anterior, obtienes 37. ¿ de que numero hablamos?

Answers

Answer:

Would you be able to write it in english so i can help you.

Step-by-step explanation:

Find the first derivative for y = f(x). fox ) 3x² -5x-1 at a Pocat where a = 4

Answers

Answer:

Step-by-step explanation:

f(x) = 3x² -5x - 1

f'(x) =2*3x - 5*1 +0

= 6x - 5

f'(4) = 6*4 - 5

= 24 - 5

= 19

There are 13 fish in an aquarium. Seven of the fish are guppies. How manynon-guppies are in the aquarium?
A. the number of guppies
B. the total number of fish
C. the number of non-guppies
( what is the variable in the problem?)

Answers

Answer:

6 non-guppies; C. the number of non-guppies

Step-by-step explanation:

13-7=x

(x is the number of non-guppies)

13-7=6

Six college buddies bought each other Christmas gifts. They spent:________.1. $178.622. $247.583. $228.454. $176.645. $180.226. $268.45What was the mean amount spent? Round answer to the nearest cent.a. $243.96b. $213.30c. $319.95d. $255.96

Answers

Answer:

B. $213.30

Step-by-step explanation:

Mean amount spent on Christmas gifts = Σx / n

Where,

Σ= sum of

x= cost of each Christmas gifts

n= number of Christmas gift

Mean amount spent on Christmas gifts = Σx / n

= ( $178.622 + $247.583 + $228.454 + $176.645 + $180.226 + $268.45 ) / 6

= $1,279.98 / 6

= $213.33

Round to the nearest cent

= $213.30

Option b is the correct answer

Final answer:

The mean amount spent by six college buddies on Christmas gifts, They spent: approximately $213.33 when rounded to the nearest cent.

Explanation:

The process is quite straightforward and involves the principles of statistics, particularly the calculation of the arithmetic mean. Here are the steps we can follow to solve this problem:

First, we need to find the total amount spent. We do this by adding the amounts together: $178.62 + $247.58 + $228.45 + $176.64 + $180.22 + $268.45. When we add these values, we get a total of $1,279.96.
Next, we need to calculate the mean, which in statistics is also commonly referred to as the average. Since there were six buddies, we divide the total amount ($1,279.96) by 6. When we do this, we find that the mean or average amount spent is approximately $213.33 (when rounded to the nearest cent).

Learn more about Mean Calculation here:

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B(n)=2^n A binary code word of length n is a string of 0's and 1's with n digits. For example, 1001 is a binary code word of length 4. The number of binary code words, B(n), of length n, is shown above. If the length is increased from n to n+1, how many more binary code words will there be? The answer is 2^n, but I don't get how they got that answer. I would think 2^n+1 minus 2^n would be 2. Please help me! Thank you!

Answers

Answer:

More number of words that can be made: $\bold{2^n}$

Please refer to below proof.

Step-by-step explanation:

Given that:

The number of binary code words that can be made:

$B(n) =2^n$

where n is the length of binary numbers.

Binary numbers means 2 possibilities either 0 or 1.

Here, suppose if we have 5 as the length of binary number.

And there are 2 possibilities for each digit.

So, total number of possibilities will be $2* 2* 2* 2* 2 = 2^5$

If the length of binary number is 2.

The total words possible are $2^2$ .

These numbers are:

{00, 01, 10, 11}

If the length of binary number is 3. (increasing the 'n' by 1)

The total words possible are $2^3$ .

These words are:

{000, 001, 010, 100, 011, 101, 110, 111}

So, number of More binary words = 8 - 4 = 4 or $2^2$ or $2^n$ .

So, the answer is $2^n$ .

Let us try to prove in generic terms:

$B(n) = 2^n$

Increasing the n by 1:

$B(n+1) = 2^(n+1)$

Number of more words made by increasing n by 1:

$B(n+1) -B(n)= 2^(n+1) -2^n\n\Rightarrow 2* 2^(n) -2^n\n\Rightarrow 2^n(2-1)\n\Rightarrow \bold{2^n}$

Hence, proved that:

More number of words that can be made: $\bold{2^n}$

Final answer:

When the length of a binary code word increases from n to n+1, the number of additional binary code words is equal to the number of binary code words of length n, which is $2^n$ .

Explanation:

When the length is increased from n to n+1, the number of binary code words of length n+1 is equal to the number of binary code words of length n multiplied by 2. This is because for each binary code word of length n, we can append a 0 or a 1 to create two new binary code words of length n+1. Therefore, the number of additional binary code words is equal to the number of binary code words of length n, which is $2^n$ .

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How many centimeters are equivalent
to 2.5 meters?

Answers

Answer:

250 centimeters

Step-by-step explanation:

............

in cm 2.5 meters are 250 cm

reason 2.5*100=250

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