Answer:
x = 7 m and x = −7 m
Step-by-step explanation:
Its a modulus problem
concept
|x| = x when x>=0
|x| = -x when x < 0
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Now given
|x| − 2 = 5
adding 2 both sides
|x| − 2 + 2 = 5 + 2
|x| = 7
now
x = 7 when x >= 0
x = -7 when x<0
Thus, correct answer is x = 7 m and x = −7 m
The cable should be 50 feet.
If you draw the picture, you will see that you have a right triangle.
Let's just use the Pythagorean Theorem to find the hypotenuse (or cable).
30^2 + 40^2 = c^2
2500 = c^2
50 = c
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Answer:
- draw lines center to vertex
- 43.5 square inches
- 261 square inches
Step-by-step explanation:
<u>Part A</u>:
The area can be decomposed into triangles by drawing a line from the center to each vertex of the hexagon.
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<u>Part B</u>:
The area of each triangle is given by the triangle area formula:
A = (1/2)bh
A = (1/2)(10 in)(8.7 in) = 43.5 in²
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<u>Part C</u>:
The area of the table top is 6 times the area of one triangle:
surface area = 6(43.5 in²) = 261 in²
Answer:
D.
Step-by-step explanation: