Area of this triangle
1 answer:
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Answer:
Hypotenuse = 6
Step-by-step explanation:
Find attached diagram used in solving the question.
The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent
Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = (3√2)² + (3√2)²
Hypotenuse ² = 9(2)+9(2) = 18+18
Hypotenuse ² = 36
Hypotenuse = √36
Hypotenuse = 6
Answer:
k = 4, y = 4x
Step-by-step explanation:
From the question, we get the ratio of :
x : y = 1 : 4
Two variables are proportional to each other if their ration is constant. The constant value is denoted by 'k' and is called as constant of proportionality.
In the question, the two variables are :
x = glasses of lemonade
y = lemons used
From the question, the ratio of y is to x is given by :
y : x is 24 : 6 = 4 : 1 or 24/6 = 4
32 : 8 = 4 : 1 or 32/8 = 4
28 : 7 = 4 : 1 or 28/7 = 4
8 : 2 = 4 : 1 or 8/2 = 4
16 : 4 = 4 : 1 or 16/4 = 4
So here the constant is 4 . Therefore, the constant of proportionality, k is 4.
So we can write the equation as :
y = kx
or y = 4x
