What is the value of the expression? −4.2(0.35−3.5)−4.2(0.35−3.5) Enter your answer in the box as a decimal.

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

7 0

−4.2(0.35−3.5)−4.2(0.35−3.5)
-4(-3.15)-4.2(-3.15)
12.60+13.23
25.83

Setler79 [48]3 years ago

5 0

Answer:

13.23

Step-by-step explanation:

Since (0.35−3.5) is in parenthesis, do this first, which results in -3.15. After you get -3.15, you multiply it with -4.2, this multiplication gets you to the answer of 13.23

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Reggie has a rectangular piece of paper that is 12 inches long and 7 inches wide. He is going to cut the paper from corner to co

neonofarm [45]

A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:

___________12 inches_______

7 |

i |

n |

Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.

The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.

Let S = the length of the side from corner to corner

S² = 12² + 7²

S² = 144 + 49

S² = 193

S = √193 or -√193

Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193

S = √193 = 13.8924439894

S = 18.92 (rounded to two places)

Thus, Reggie will cut 18.92 inches of paper.

5 0

3 years ago

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