Answer:
b and c
Step-by-step explanation:
The Triangle Inequality Theorem lets us know that the sum of the two shortest sides of the triangle must be greater than the third side of the triangle.
In both A and D, the sum of the shortest two sides are equal to, not greater than the third side, so they will not form a triangle.
In B, 12+20 is 32, which is greater than 25. And in C, 18+24 is 42, which is greater than 30, so they both will form a triangle.
Answer:
C
Step-by-step explanation:
(2x+3)(x+4) = 2x² + 8x + 3x + 12
= 2x² + 11x + 12 ≠ 2x² + 10x + 12
Answer:
Step-by-step explanation:
Using the cosine theorem:
The angle is 114.014 degrees if we substract 90 degrees it means that at point L the plane changed its angle by 24 degrees
Answer:
B) 25.1 units
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides of the triangle. The length of the side BC that is vertical can be found by finding the difference of y-coordinates:
BC = 5 -(-2) = 7
The lengths of the other two sides can be found using the given distance formula. Fill in the coordinate values and do the arithmetic.
AB = √((4-(-4))^2 +(5-(-1))^2) = √(8^2 +6^2) = √(64+36)
AB = √100 = 10
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AC = √((4-(-4))^2 +(-2-(-1))^2) = √(8^2 +(-1)^2) = √(64 +1)
AC = √65 ≈ 8.06
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So, the perimeter is ...
P = AB +BC +AC
P = 10 + 7 + 8.06 = 25.06 ≈ 25.1 . . . . matches choice B
