What is the value of x in the figure below? in this diagram abd cad
2 answers:
Answer:
Option E is correct.
Step-by-step explanation:
We have been two similar triangles and we are asked to find out the value of x.
Since we know that corresponding sides of similar triangles are in same ratio. We will set the ratio of corresponding sides to find out our x.
Now we will substitute our given values in this ratio.
Now let us solve for x.
After taking the square root of both sides of the equation we will get,
Therefore, option E is the correct choice.
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Answer:
The correct answer is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
Step-by-step explanation:
In a study of the progeny of rabbits, Fibonacci encountered the sequence now bearing his name.
The sequence is defined recursively as:
=
+
, where a1 = 1 and a2 = 1 where n is a natural number.
For n = 0 ; a2 = a0 + a1
⇒ a0 = 0.
For n = 1 ; a3 = a1 + a2 = 1+1
⇒ a3 = 2.
For n = 2 ; a4 = a2 + a3 = 1+2
⇒ a4 = 3.
For n = 3 ; a5 = a3 + a4 = 2+3
⇒ a3 = 5.
For n = 4 ; a6 = a4 + a5 = 3+5
⇒ a6 = 8.
For n = 5 ; a7 = a5 + a6 = 5+8
⇒ a7 = 13.
For n = 6 ; a8 = a6 + a7 = 8+13
⇒ a8 = 21.
For n = 7 ; a9 = a7 + a8 = 21+13
⇒ a9 = 34.
For n = 8 ; a10 = a8 + a9 = 21+34
⇒ a10 = 55.
For n = 9 ; a11 = a9 + a10 = 55+34
⇒ a11 = 89.
Thus the first 12 terms of fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89.
The information provided is that you have smaller cubes that measure 1 cm on either of the three sides. In order words if you lie each cube side by side you would have the length/width/height of the indicate sides.
For a cube made up of 27 smaller cubes, you can determine the length of each side by factoring the entire size provided. That means for a cube made up of 27 smaller cubes you would have;
This means you would have 3 smaller cubes on the length, 3 smaller cubes on the width and 3 smaller cubes on the height.
Therefore, if you now have 150 of the smaller cubes, by factoring this you would have the following possibility;
This means you would have one side (length) 6 cubes, on another side (width) 5 cubes and on the third side (height) 5 cubes.
That means with 150 smaller cubes you could make a cube with the dimensions,
ANSWER:
The largest big cube you could make would be a 6 cm by 5 cm by 5cm big cube