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Hitman42 [59]
2 years ago
9

The United States post office has two different priority mail flute rate boxes. Which box has the greater volume? Justify your a

nswer.
Box1: 6 1/2in.x 8 1/2in. x 11in. Box2: 3 3/8in. x 11 7/8in. x 13 5/8in.
Mathematics
1 answer:
PilotLPTM [1.2K]2 years ago
3 0
V = w h l
V = 6 ½ x 8 ½ x 11
V = 607.75 in 3
V = w h l
V= 3 3/8 x 11 7/8 x 13 5/8
V = 546.06 in3

Box one has the greater volume.
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What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x+y-1=0?
tresset_1 [31]

Answer:

The equation of the line that passes through (1, 2) is y = - 2x + 4

Step-by-step explanation:

2x + y - 1 = 0

2x + y - 1 + 1 = 0 + 1

2x + y = 1

2x - 2x + y = 1

y = - 2x + 1

parallel lines have the same slope, so the equation line will be -2

plug in the point, y = mx + b    (x, y)

y = (-2)x + b , (1, 2)

(2) = (-2)(1) + b

2 = -2 + b

2 + 2 = -2 + 2 + b

4 = b

y = - 2x + 4

3 0
1 year ago
A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl
algol [13]

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

y^2 = 625-400 = 225

y=\sqrt{225} = 15 foot.

We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

6 0
3 years ago
What is the value of x in the figure below? In this diagram
Pani-rosa [81]

Answer:

(B) x=\sqrt{30}

Step-by-step explanation:

3 0
3 years ago
Amira pulls a 3 pound wagon 4 feet. How much work has she done?
Alex787 [66]

Answer:

12 ft-lbs is your answer

8 0
2 years ago
Read 2 more answers
Billy and Joe go to McDonalds for lunch. They order 2 burgers, 3 fries, and 2 sodas. The mom
julia-pushkina [17]

Answer:

2.43 and rounded it is 2 dollars

Step-by-step explanation:

2 burger-$7.00

3 Fries-

2 Sodas- $2.00

7+2=9

$16.29-9.00=7.29

$7.29/3=2.43

5 0
2 years ago
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