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Olegator [25]
3 years ago
7

Please help me with questions 5, 6, and 7

Mathematics
1 answer:
never [62]3 years ago
4 0
Answer to problem 5 is A) WU = ZX. 
Notice how the angle U is between WU and VU. Similarly, angle X is beween ZX and XY
The order is very important. The angles must be between the two pairs of sides. 

-----------------

Answer to problem 6 is C) 15/17. 
Use the pythagorean theorem to find the hypotenuse AC to be 17 units. Then take the ratio of the adjacent and hypotenuse to get the answer.

------------------

Answer to problem 7 is choice C
Use the rule cos(90-x) = sin(x) where x = 72-a

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Solve for y please help
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The answer is (-16.6)

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y/2 ≥ -8.3

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<u>-TheUnknownScientist 72</u>

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2 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
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The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
2 years ago
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