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sweet [91]
3 years ago
9

Evaluate the expression 120n + 160,500 when n= 32. n=______

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
120(32) + 160,500
= 3840 + 160,500
= 164,340
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Now write 12% as a fraction in simplest
zvonat [6]

Answer:

12/100

Step-by-step explanation:

Percent is basically per 100 so 12/100

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3 years ago
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How to do this question
slava [35]

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

7 0
3 years ago
Identify the property of equality that makes Equation 1 and Equation 2 equivalent.
antiseptic1488 [7]

Pick a quote and explain how it relates to you:

The habit of reading is one of the greatest resources of mankind; and we enjoy reading books that belong to us much more than if they are borrowed. A borrowed book is like a guest in the house; it must be treated with punctiliousness, with a certain considerate formality. You must see that it sustains no damage; it must not suffer while under your roof. You cannot leave it carelessly, you cannot mark it, you cannot turn down the pages, you cannot use it familiarly. And then, some day, although this is seldom done, you really ought to return it.

But your own books belong to you; you treat them with that affectionate intimacy that annihilates formality. Books are for use, not for show; you should own no book that you are afraid to mark up, or afraid to place on the table, wide open and face down. A good reason for marking favorite passages in books is that this practice enables you to remember more easily the significant sayings, to refer to them quickly, and then in later years, it is like visiting a forest where you once blazed a trail. You have the pleasure of going over the old ground, and recalling both the intellectual scenery and your own earlier self.

Everyone should begin collecting a private library in youth; the instinct of private property, which is fundamental in human beings, can here be cultivated with every advantage and no evils. One should have one's own bookshelves, which should not have doors, glass windows, or keys; they should be free and accessible to the hand as well as to the eye. The best of mural decorations is books; they are more varied in color and appearance than any wallpaper, they are more attractive in design, and they have the prime advantage of being separate personalities, so that if you sit alone in the room in the firelight, you are surrounded with intimate friends. The knowledge that they are there in plain view is both stimulating and refreshing. You do not have to read them all. Most of my indoor life is spent in a room containing six thousand books; and I have a stock answer to the invariable question that comes from strangers. "Have you read all of these books?"

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3 years ago
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
Annette [7]

Answer:

  B.  97.2

Step-by-step explanation:

The sequence of positive terms is ...

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This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

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What exactly are prime numbers?
nignag [31]
Prime numbers are numbers that only have a factor of one and its self.
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