you are facing east. you turn left, then left again, then about face, then right. which direction are you finally facing?
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Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs? A. 3 1/2 yards B. 3 2/3 yards C. 4 yards D. 4 3/8 yards Mark for review (Will be highlighted on the review page)
Two more than the product of -5 and a number x is 5...what is the number
2x+5y=16 -5x-2y=2Solve the following system of equations. Express your answer As an ordered pair in the format (a,b), with no spaces between the numbers or symbols.
What is the sum of 8 yards and 5 feet?
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1) He could take the 1/2 cup twice which equals 1, and then he could measure 6 of 1/8 cups which would be 6/8 or 3/4.
2) Way number two could be if he took the 1/2 four times, which would give him 2, and then he could remove 2 1/8 cups out of the 2 which would give him 1 3/4.
acute, because 6 + 10 > 12
obtuse, because 62 + 102 < 122
obtuse, because 6 + 10 > 12
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The correctclassification for this triangle is:
obtuse, because 6² + 10² < 12²
Option C is the correct answer.
What is a triangle?
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
Learn more about triangles here:
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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
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y-y1=m(x-x1).
Here y1 = 2 according to the given equation.
and x1 = (-6).
Therefore,the line passes through the point P(x1,y1) or
P(-6,2).
Final Answer:P(-6,2).
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Answer:
(A)
Step-by-step explanation:
To find the range, you have to subtract the highest value from the list (85) from the lowest value (15) When you subtract these values you get 70, which is the range.
To find the mid-range, you add the highest value from the list (85) and the lowest value (15) When you add these values, you get 100. You then have to divide the sum of the highest and lowest value (100) by 2. When you divide the sum of the highest and lowest value by 2 you get 50, which is the mid-range.
Hope this helps!
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Regards!
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