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Harman [31]
3 years ago
13

4. CSC X COS X - 2 cos x = 0

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

Answer:

infinitely many answers, any odd integer n times π/2

ex. π/2, 3π/2, 5π/2

Step-by-step explanation:

we know that cos (π/2) or cos(3π/2) is 0

if one factor is 0, the product is zero, so we will not care about csc(x).

x is any odd integer n times π/2

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Amy and Zach each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long . Zach makes his fence
saul85 [17]

For this case we have that by definition, the area of a rectangle is given by:

A = w * l

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

Each of the girls has 24 feet of fencing, that is, the perimeter is P = 2w + 2l = 24.

Amy:

l = 6 \ ft\\2w + 2 (l) = 24\\2w + 2 (6) = 24\\2w + 12 = 24\\2w = 24-12\\2w = 12\\w = 6

Thus, Amy's fence area is: A = 6 * 6 = 36 \ ft ^ 2

Zach:

l = 8 \ ft\\2w + 2l = 24\\2w + 2 (8) = 24\\2w + 16 = 24\\2w = 24-16\\2w = 8\\w = 4

Thus, the area of Zach's fence is:A = 4 * 8 = 32 \ ft ^ 2

Answer:

Amy's garden has a greater area

36 \ ft ^ 2-32 \ ft ^ 2 = 4ft ^ 2, is 4 \ ft ^ 2greater

5 0
3 years ago
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When an elderly man passed away, he had left each of his 4 children 25% of his estate If he had $72,000, how much did each child
anzhelika [568]
Dividing $72,000 by 4, each child received $18,000
6 0
3 years ago
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7/6 divided by 2 in simplest form
iris [78.8K]
Here is your question: 7/6 divided by 2.

= 7/6÷2 = 7/6 * 1/2 =.

Multiply and you get = 7/12.
6 0
3 years ago
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25 pints of apple juice are poured into 3/4 pint bottles, how many bottles are filled
Westkost [7]

Answer:

33 1/3

Step-by-step explanation:

25/1 * 4/3 =

100/3 = 33.3... or 33 1/3

6 0
2 years ago
What is the fifth exterior angle measure?
alexira [117]

Answer:

50

Step-by-step explanation:

Adds up to 360 degrees

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