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umka2103 [35]
2 years ago
7

An acute angle, θ, is in a right triangle such that sin of theta is equal to 3 over 8 period What is the value of cot θ?

Mathematics
1 answer:
Serggg [28]2 years ago
8 0

We want to find the value of cot(θ) given that sin(θ) = 3/8 and θ is an angle in a right triangle, we will get:

cot(θ) = (√55)/3

So we know that θ is an acute angle in a right triangle, and we get:

sin(θ) = 3/8

Remember that:

  • sin(θ) = (opposite cathetus)/(hypotenuse)
  • hypotenuse = √(  (opposite cathetus)^2 +  (adjacent cathetus)^2)

Then we have:

opposite cathetus = 3

hypotenuse = 8 = √(3^2 +  (adjacent cathetus)^2)

Now we can solve this for the adjacent cathetus, so we get:

adjacent cathetus = √(8^2 - 3^2) = √55

And we know that:

cot(θ) = (adjacent cathetus)/(opposite cathetus)

Then we get:

cot(θ) = (√55)/3

If you want to learn more, you can read:

brainly.com/question/15345177

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3 0
3 years ago
The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to cr
IRINA_888 [86]

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A = 1/2(2πr)(r)

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The circumference of the circle, 2πr, is the measure completely around the circle.  When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.  This means the base will be 1/2(2πr).

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7 0
3 years ago
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Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
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I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

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7 * 11  = 77
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now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

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