So for this problem you need to find the length of a side of the square. To do this you can use Pythagorean theorem to find the length of the right triangle with the side of the square as it’s hypotenuse.
The Pythagorean theorem is:
a^2 + b^2 = c^2
a = 1 and b = 3
1^2 + 3^2 = c^2
10 = c^2
square root of 10 = c
Now that we know the length of the side, we can find the area of the square. Area of a square = side^2, so:
Area = (square root of 10)^2 = 10
The area of the square is 10!
Answer:
Step-by-step explanation:
Add v and 48°v
49v−46°
The value of x in the equation is 4
<h3>What are algebraic expressions?</h3>
Algebraic expressions are seen as expressions that consist of factors, variables, terms, coefficients, and certain constants.
These expressions are also known to be composed of some arithmetic operations, which includes;
- Subtraction
- Addition
- Division
- Multiplication
- Parentheses
- Bracket, etc
Given the expression;
(2x-4)^2=16
√(2x-4)^2 = 16
Find the square root of the expression, we have;
√(2x -4)^2= √16
Find the values
2x - 4 = 4
collect like terms
2x = 4 + 4
Add like terms
2x = 8
Make 'x' the subject of formula
x = 8/2
x = 4
Hence, the value is 4
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer:
The variance for the number of correct answers is 2.8 questions
Step-by-step explanation:
The number of correct answers follows binomial distribution, in which we have:
- n identical and independents events: the 15 questions
- two possibles results that we call success and fail: The answer is correct and the answer is incorrect
- probability p of success and 1-p of fail. Probability 1/4 of get the answer correct and probability of 3/4 of get the answer incorrect. This probabilities are calculated on that way because every question have 4 possible answers and one of which is correct.
So, the variance for a variable x that follows a Binomial distributions is:
V(x)=n*p*(1-p)
Then, the variance for the number of correct answers is:
V(x)=15*(1/4)*(3/4) = 2.8125 ≈ 2.8
Because n is equal to 15, p is equal to 1/4 and (1-p) is equal to 3/4.
The answer to your question, would be 7x + 10.
Hopefully this helps!
