<h3>
Answers:</h3><h3>x = sqrt(10)</h3><h3>y = sqrt(5)</h3>
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Explanation:
Naturally I start with x as that letter precedes y in the alphabet; however, it's easier to start with y because it is a leg of this triangle. We will then use the value of y to find x later.
For any 45-45-90 triangle, the two legs are the same length. So that's why we're able to quickly see that y = sqrt(5)
To get the hypotenuse, we multiply the leg length by sqrt(2). This trick only works for 45-45-90 triangles.
hypotenuse = leg*sqrt(2)
x = sqrt(5)*sqrt(2)
x = sqrt(5*2)
x = sqrt(10)
The rule I used is sqrt(a)*sqrt(b) = sqrt(a*b)
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An alternate path is to use the pythagorean theorem to find x
a^2+b^2 = c^2
(sqrt(5))^2 + (sqrt(5))^2 = x^2
5 + 5 = x^2
10 = x^2
x^2 = 10
x = sqrt(10)
Answer:
9 squares
Step-by-step explanation:
Given that:
Membership feet to play indoor soccer at the Sun Oaks Club = $100
Hourly rate = $10
To find:
The function f represents the cost of playing soccer at Sun Oaks.
Here, fixed cost is $100.
Let the number of hours of playing be t. So, total variable cost is $10t.
Total cost = Fixed cost + Variable cost
So, the required function is .
Now, if the hourly rate were halved. Then,
Hourly rate 
So, total variable cost is $5t and total cost function is
So, the required function is .
Y=sqrt(3x+4)
3x+4 must be positive
3x+4>=0
Solving for x:
3x+4-4>=0-4
3x>=-4
3x/3>=(-4)/3
x>=-(4/3)
Domain of the function = [-(4/3), +Infinite)
The fraction of the poster does Dwayne use for his friends from school is 5/12.
<h3>What is the fraction of the poster that Dwayne uses for his friends from school?</h3>
A fraction is a non-integer that has a numerator and a denominator. The numerator is the number that is above the line and the denominator is the number below the line. An example of a fraction is 5/12.
In this question, the numerator is the number of parts he gives his friends from school. The denominator is the total number of parts he divides the poster.
Fraction = parts he gave his friend from school / total number of parts
5 / 12.
To learn more about fractions, please check: brainly.com/question/1114498
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