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wel
3 years ago
13

Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch

oice A) A \dfrac{20}{29} 29 20 ​ start fraction, 20, divided by, 29, end fraction (Choice B) B \dfrac{20}{21} 21 20 ​ start fraction, 20, divided by, 21, end fraction (Choice C) C \dfrac{21}{29} 29 21 ​ start fraction, 21, divided by, 29, end fraction (Choice D) D \dfrac{21}{20} 20 21 ​
Mathematics
1 answer:
icang [17]3 years ago
7 0

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

Hope this Helps!!!

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if a florist is making identical bouquets using 72 red roses 60 pink roses and 48 yellow roses what is the greatest number of bo
xeze [42]

The <em>correct answer</em> is:

12 bouquets, each having 6 red roses, 5 pink roses, and 4 yellow roses.

Explanation:

To find the number of bouquets we can make, we find the GCF (greatest common factor) of the three numbers, 72, 60 and 48. To do this, we find the prime factorization of each:

72=6\times 12 \\6=2\times 3 \\12=4\times 3 \\4=2\times 2 \\72=2\times2\times2\times3\times3 \\ \\60=6\times 10 \\6=2\times 3 \\10=2\times 5 \\60=2\times2\times3\times5 \\ \\48=12\times4 \\12=4\times3 \\4=2\times 2 \\4=2\times 2 \\48=2\times2\times2\times2\times3

We look for factors that all 3 numbers have in common. These factors are 2, 2 and 3; 2(2)(3)=12, so we can make 12 bouquets.

72/12 = 6; this means we use 6 red roses in each bouquet.

60/12 = 5; this means we use 5 pink roses in each bouquet.

48/12 = 4; this means we use 4 yellow roses in each bouquet.

8 0
3 years ago
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Write an expression that is equivalent to 3/4(5z+16).
Sphinxa [80]
Answer: 3.75z+12
For an equivalent expression, lets simplify the equation.

3/4(5z+16)
multiply both '5z' and '16' by 3/4
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I’m very sorry but I don’t understand

Step-by-step explanation:

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3 years ago
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What is the slop intercept form of a line that passes threw (4,-4) and (8, -10)
BigorU [14]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points through which the line passes, so we can find the slope:

(x_ {1}, y_ {1}) :( 4, -4)\\(x_ {2}, y_ {2}) :( 8, -10)\\m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-10 - (- 4)} {8-4} = \frac {-10+ 4} {4} = \frac {-6} {4} = - \frac {3} {2}

Thus, the equation is of the form:

y = - \frac {3} {2} x + b

We substitute one of the points and find "b":

-4 = - \frac {3} {2} (4) + b\\-4 = - \frac {12} {2} + b\\-4 + 6 = b\\b = 2

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y = - \frac {3} {2} +2

ANswer:

y = - \frac {3} {2} +2

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