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Alex17521 [72]
3 years ago
6

19. Luggage on a certain airline is limited to 2 pieces per person.

Mathematics
1 answer:
Mama L [17]3 years ago
7 0

Answer: The second piece can weigh 256 pounds at most.

Step-by-step explanation:

Hi, to answer this question we have to write an inequality with the information given:

The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:

x + 325 ≤581

Where x is the second piece's weight.

Solving for x:

x ≤581 -325

x ≤ 256

The second piece can weigh 256 pounds at most.

Feel free to ask for more if needed or if you did not understand something.

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6(2u)=12u

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3 years ago
Find the area of the trapezoid below to the nearest tenth.
kondor19780726 [428]

Answer:

Area of trapezoid = 67.6 square units

Step-by-step explanation:

Area of a trapezoid is given by the expression,

Area of the trapezoid = \frac{1}{2}(b_1+b_2)h

Here, b_1 and b_2 are the parallel sides of the given trapezoid.

And 'h' = Height between the parallel sides

From the given triangle ABE,

m(∠ABE) = m(∠ABC) - m(∠EBC)

m(∠ABE) = 120° - 90°

               = 30°

By applying cosine rule in the given triangle,

cos(30°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2}=\frac{BE}{AB}

\frac{\sqrt{3} }{2}=\frac{BE}{6}

BE = 3\sqrt{3} units

By applying sine rule in ΔABE,

sin(30°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

\frac{1}{2}=\frac{AE}{AB}

\frac{1}{2}=\frac{AE}{6}

AE = 3 units

Length of b_1=BC=10

Length of b_2=AD=(AE+EF+FD) [AE = FD, since given trapezoid ABCD is an isosceles trapezoid]

                b_2=3+10+3

                b_2=16

Height between the parallel sides h=3\sqrt{3}

Area of the trapezoid = \frac{1}{2}(BC+AD)BE

                                    = \frac{1}{2}(10+16)(3\sqrt{3})

                                    = 39\sqrt{3}

                                    = 67.6 square units

8 0
3 years ago
The Great Wall of China is about 20 feet high and abiut 15 feet wide what is the volume of a 1-mile section of the wall? (The wh
allochka39001 [22]

Answer:

79200 feet is the volume of great wall.

Step-by-step explanation:

1 mile = 5280 feet

5280 feet × 15 feet = 79200

The height is the thing that we don't need to use, because you need volume, volume is the place where the wall at, the place is 79200 feet.

And I have question for you, have you ever go to China, did you go to the great wall, where did you come from.

7 0
3 years ago
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