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Monica [59]
2 years ago
8

Misha wants to know how much wrapping paper is needed to cover a box with the dimensions shown.

Mathematics
1 answer:
Anarel [89]2 years ago
7 0

Answer:

D) 136 sq. in.

Step-by-step explanation:

8x14=112

2x4x3=24

112+24=136

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A (0, 2) and B (6,6) are points on the straight line ABCD.
elena-14-01-66 [18.8K]

Answer:

(18, 14)

Step-by-step explanation:

We know that C and D lie on the line AB and BC = CD = AB. Then we need to use the distance formula and equation of the line AB to find the other two coordinates.

The distance formula states that the distance between two points (x_1,y_1) and (x_2,y_2), the distance is denoted by: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Let's find the distance between A and B:

d = \sqrt{(6-0)^2+(6-2)^2}=\sqrt{6^2+4^2} =\sqrt{36+16} =\sqrt{52} =2\sqrt{13}

Now say the coordinates of D are (a, b). Then the distance between D and B will be twice of 2√13, which is 4√13:

4√13 = \sqrt{(6-a)^2+(6-b)^2}

Square both sides:

208 = (6 - a)² + (6 - b)²

Let's also find the equation of the line AB. The y-intercept we know is 2, so in y = mx + b, b = 2. The slope is (6 - 2) / (6 - 0) = 4/6 = 2/3. So the equation of the line is: y = (2/3)x + 2. Since (a, b) lines on this line, we can put in a for x and b for y: b = (2/3)a + 2. Substitute this expression in for b in the previous equation:

208 = (6 - a)² + (6 - b)²

208 = (6 - a)² + (6 - (2/3a + 2))² = (6 - a)² + (-2/3a + 4)²

208 = a² - 12a + 36 + 4/9a² - 16/3a + 16 = 13/9a² - 52/3a + 52

0 = 13/9a² - 52/3a - 156

13a² - 156a - 1404 = 0

a² - 12a - 108 = 0

(a + 6)(a - 18) = 0

a = -6 or a = 18

We know a can't be negative so a = 18. Plug this back in to find b:

b = 2/3a + 2 = (2/3) * 18 + 2 = 12 + 2 = 14

So point D has coordinates (18, 14).

8 0
3 years ago
Read 2 more answers
Write a rate that represents the situation
Alika [10]
Pretty sure it's 10 liters to every 3 min. (10:3 or 10 over 3)
i got u fam
3 0
3 years ago
Read 2 more answers
Emma used 1/7 of a liter of milk to make 1/3 of a jug of tea. How much milk, in liters, is required to fill the jug?
fiasKO [112]

Answer:

Step-by-step explanation:

Well....if 1/7 liters  of milk makes 1/6 of a jug

Then  six times this must be a full jug....so

6*(1/7)   =

6/7 liters of milk  required

i hope this helps you happy holidays let me know if you need more information

6 0
3 years ago
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The sum of 4 consecutive integers is 406. find the integers
BabaBlast [244]

Answer and Step-by-step explanation:

When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.

<u>The answer is:</u>

100 + 101 + 102 + 103

It adds up to 406, and the integers are consecutive.

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

<u><em></em></u>

<u><em>I hope this helps!</em></u>

8 0
2 years ago
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Determine whether the relation is a function: {(6, 1), (8, –3), (6, 7)}.
ICE Princess25 [194]

Hello there! The answer would be the first one, or No. At least one output results in two inputs.

When dealing with functions: you must remember that x does not repeat. So, lets look at the relation given, {(6, 1), (8, –3), (6, 7)}. You can see that x does repeat, so this is not a function. This eliminates second and fourth option choices. Out of the options A and C, A would be your choice since x is the input value and y is the output value, and there are two input values.

Hope his helps and have a  great day!

5 0
3 years ago
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