If there are 15 red tulips every 9 yellow tulips how many yellow tulips are the for every 5 tulips
1 answer:
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The correct answer is option B which is {x | x ≤ 4.5}
<h3>What is a number line?</h3>
A number line is a representation of a graduated straight line used to represent real numbers in introductory mathematics.
Because the arrow is pointing to the left, the answer to the solution set needs to be less than the number the dot is on.
A solid dot on a number means that that number is included in the solution set.
In the picture the solid dot is on 4.5, so the solution set needs to be equal to or less than 4.5.
Therefore the correct answer is option B which is {x | x ≤ 4.5}
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You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²)
b = 9.16
With these values, we can find the hypotenuse in the triangle "B":
x = √b²+c²
x = √(9.16)²+(4)²
x = 10