A secretary can type 56 words per minute. how much time will she need to type a 4200-word report?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

7 0

The answer would be D, because you do 4200÷56=75 minutes. 75 minutes= 1 hour and 15 minutes

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How do you solve for the segment area in a circle?

Aleks04 [339]

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triangle DEF Area = (1/2) * 20 * sine 60 * 20
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triangle DEF Area = (1/2) * 346.412 
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segment area = 209.4395102393 -173.206

segment area = 36.2335102393 
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm

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Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$