The decrease in price is $18. The percentage decrease is calculated by dividing the decrease by the original price and multiplying by 100, which results in a 15% decrease.
The problem involves finding the percentage decrease of a price from $120 to $102. The first step is to find out how much the price decreased. This involves subtracting the new price ($102) from the original price ($120), which gives us an amount of $18. Now, the percentage decrease is computed by dividing this decrease ($18) by the original price ($120) and multiplying the result by 100. Hence, Percentage decrease = ($18 / $120) * 100% = 15%.
Therefore, the price has decreased by 15% from yesterday to today.
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acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
Option C is the correct answer.
A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To determine the classification of a triangle based on its sidelengths, we can use the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we have a triangle with side lengths of 6 cm, 10 cm, and 12 cm. Checking the sum of the lengths of each pair of sides, we have:
6 + 10 = 16 > 12
6 + 12 = 18 > 10
10 + 12 = 22 > 6
Since all three pairs satisfy the triangleinequalitytheorem, the given side lengths do form a valid triangle.
Next, we can use the lawofcosines to determine the measure of the largest angle in the triangle, which will allow us to classify it.
The lawofcosines states that, for a triangle with side lengths a, b, and c, and the angle opposite c denoted as C, we have:
In this case, the sidelengths are a = 6 cm, b = 10 cm, and c = 12 cm. Substituting these values into the formula and solving for cos(C), we get:
cos(C) = (6² + 10² - 12²) / (2 x 6 x 10)
cos(C) = -1/5
Since the cosinefunction is negative for angles between 90 and 180 degrees, we know that angle C is obtuse.
Therefore,
The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
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Answer:
C
Step-by-step explanation:
use Pythagorean theorem
+ =
c is the longest side
if + > then it's acute (greater than)
if + < then it's obtuse (less than)
if they are equal, then its a right triangle
+ =
36 + 100 = 144
136 = 144
136 < 144 obtuse
Answer:
I hope it helped u.
Step-by-step explanation:
Answer:
DBFEA
Step-by-step explanation: