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WITCHER [35]
3 years ago
15

The question is in the attachment, I've posted a question similar to this before.

Mathematics
2 answers:
Minchanka [31]3 years ago
3 0
Angle A is 45 and angle B is 33
UkoKoshka [18]3 years ago
3 0
I wrote the equation B+12+B=90. If angle A is 12 degrees greater, that means if you take away the difference of twelve, they will be equal. Since complementary angles all add up to 90 degrees: A+B=90-12. A+B=78, and 78/2 is 39. This means A is 51 degrees and B is 39 degrees.
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Is this statement is true -8< 8
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Yes 8>-8 because 8 is negative
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What is the value of<br> 4/3 divided by 2/5 ?
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Answer: (10/3)

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(4/3)/(2/5) = (10/3)
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5 0
3 years ago
a carpenter has a wooden stick that is 84 centimeters long. She cuts off 25% from the end of the stick. then she cuts the remain
Karo-lina-s [1.5K]
She cuts off 21 cm. this leaves 63cm. cut into 6 equal pieces gives 10.5 cm pcs
3 0
3 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
k0ka [10]

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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