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xeze [42]
3 years ago
10

Product tan1°.tan2°.tan3º......tan89° is:

Mathematics
1 answer:
Gelneren [198K]3 years ago
4 0

\sin(x) = \cos(90-x)  \frac{sin(x)}{cos(90-x)} = 1\\\prod_{n=1}^{89}\tan(n) = \frac{\sin(1)}{\cos(1)} \cdot \frac{sin(2)}{cos(2)}...\frac{sin(89)}{cos(89)} = 1

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Add them together thee we j get your answer
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3 years ago
Please Help I’m confused give clear answers thank you
ExtremeBDS [4]

Answer:

1: y=-1x-3

2: y=0.8x+4.2

3: y=2x-3

Step-by-step explanation:

Question 1: When lines are parallel, that means they're slope is the same and there y-intercept is different. So the first step is to calculate the slope of BC. If you look at BC you'll notice it goes down by 2 and goes forward by 2 so the slope is -2/2 or -1. This completes one part of the slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. The y-intercept will be calculated using the point A. since the equation passes through point A

-1 = (-2)(-1) + b

-1 = 2 + b

-3 = b

y=-1x-3

Question 2: Same concept here, if you look at AC, you'll see it "rises" by 4 and "runs" by 5, thus the slope is 4/5. Since it passes through B we'll use that to find the y-intercept

5 = (4/5)(1) + b

5 = 4/5 + b

b = 4.2

Question 3: It "rises" by 6 and "runs" by 3, thus the slope is 6/3 which is 2.

Plug in known values

3=(3)(2) + b

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8 0
2 years ago
velma invested $5400 in a savings account with a yearly interest rate of 4% for 7 years. How much simple interest did she earn?
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5 0
3 years ago
Read 2 more answers
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KengaRu [80]

\:  \:  \:  \:

\pink{x = 4.625} \\  \\ or \: in \: alternate \:  \: form \\  \\  \pink{x =  \frac{37}{8} }

Step-by-step explanation:

6.2 + 0.4x = 8.05

  • <u>move </u><u>the</u><u> constant</u><u> to</u><u> the</u><u> </u><u>right</u>

<u>0.4x = 8.05 - 6.2</u>

  • <u>calculate</u>

<u>0.4x = 1.85</u>

  • <u>divide</u><u> both</u><u> </u><u>sides</u>

<u>\pink{x = 4.625} \\  \\ in \:  \: alternate \:  \: form \\  \\  \pink{x =  \frac{37}{8} }</u>

<h2><u>hope</u><u> it</u><u> helps</u></h2>
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2 years ago
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A check should be written before the check stub is filled out.<br> True<br> False
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The answer is false
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