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2 years ago

Would appreciate an explanation. PLEASE ANSWER THIS

Mathematics

1 answer:

Radda [10]2 years ago

8 0

c^2 = a^2 + b^2 - 2*ab*Cos(C)

c = 16; a = 17; b = 8 (what you call a and b don't really matter. c does). Substitute.

16^2 = 17^2 + 8^2 - 2*17*8*Cos(C) Add the first 2 on the right.

256 = 289 + 64 - 282*cos(C)

256 = 353 - 282*cos(C) Whatever you do, don't do any more combing on the right side. Subtract 353 from both sides.

-97 = -282 * cos(C ) Divide by 282

0.34397 = cos(C)

cos-1(0.34397) = C ; C = 69.88 degrees.

Do you need more help on this question? All of these are done the same way.

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How much oil wells in a given field will ultimately produce is key information in deciding whether to drill more wells. Data was

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Answer:

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2 years ago

30 PTS!!!!! Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day. Cole plans to eat multiple ba

ser-zykov [4K]

Answer:

See explanation

Step-by-step explanation:

<u>Part A:</u> If Cole eats 3 bananas each day. These 3 bananas contain $3\cdot 0.3=0.9$ mg of iron.

Let x be the number of vitamins Cole takes. Each whole vitamin contains 4 mg of iron, then x vitamins contain 4x mg of iron.

The total amount of iron Cole takes is

$0.9+4x\ mg$

Cole needs to include at least 11 mg and at most 22 mg of iron in his diet each day, so

$11\le 0.9+4x\le 22$

Solve it:

$11-0.9\le 4x\le 22-0.9\\ \\10.1\le 4x\le 21.1\\ \\2.525\le x\le 5.275$

The smallest number of vitamins - 3, the greatest number of vitamins - 5.

<u>Part B: </u>Cole continues to eat 3 bananas each day. He pays $\$2\cdot 7=\$14$ for bananas per week.

If Cole spends a total of $20 on bananas and vitamins this week, then he spent $20 - $14 = $6 on vitamins.

Let x be the number of vitamins Cole takes this week.

First 10 vitamins are free, then x - 10 vitamins each cost $0.50 (he pays an additional dollar for every 2 additional vitamins he purchases) and they cost

$\$0.50(x-10)$

This amount of money is exactly $6, so

$0.50(x-10)=6\\ \\5(x-10)=60\\ \\x-10=12\\ \\x=22$

This means Cole takes 3 vitamins per day (the whole number) and he is able to meet his iron requirement every day this week, based on answer in Part A.

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1 year ago

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1 year ago

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sashaice [31]

Inscribe triangle RST in the square with dimensions 4×4, as shown in the figure.

from the area of this square, 4*4=16, we remove the triangles with dimensions
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similarly,

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2 years ago

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