Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
Answer:
36
Step-by-step explanation:
order of operations
What is meant binary number?
Binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.
What is decimal in number system?
- A number system which uses digits from 0 to 9 to represent a number with base 10 is the decimal system number.
- The number is expressed in base-10 where each value is denoted by 0 or first nine positive integers.
- Each value in this number system has the place value of power 10.
Similarities between binary and decimal systems -
- Arithmetic operations can be carried out on numbers in both the binary ands decimal systems
- Values of each bit and digit in binary and decimal numbers respectively depends on how close they are to the decimal point
- Integer and fraction components are represented in both decimal and binary systems.
Learn more about decimal systems
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The answer would be -37.5