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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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Karo-lina-s [1.5K]

Answer:

A: 8

B: 96

I'm not sure on C, sorry.

5 0
3 years ago
Read 2 more answers
Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh
inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

6 0
3 years ago
The asymptote function f(x)=3^x+4 is y=
swat32

The asymptote of the function f(x)=3^x is y = 0.

The asymptote of the function f(x)=3^x+4 is y = 0+4=4

Answer: y = 4

7 0
3 years ago
Use synthetic division to find the quotient of (44 + 22 − 4 + 12) ÷ ( + 2). Show your work for full credit.
valina [46]
Just remember BODMAS, which B= brackets O= Order D= Division M= Multiply A=Addition and S=Subtract

So first you solve the brackets so 44+22 is 66

So 66-4+12 so 66-4 is 62

62+12 is 74

So now you have got 74 divided by 2 which is 37

Hope this helps xx
5 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Troyanec [42]

Answer: 300

Step-by-step explanation:

Let the number be represented by x.

Therefore, based on the information given in the question, this can be expressed as:

36% of x = 108

36/100 × x = 108

0.36 × x = 108

0.36x = 108

x = 108/0.36

x = 300

Therefore, the number is 300

8 0
3 years ago
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