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Leno4ka [110]
3 years ago
12

Formula of trigonometric ratios​

Mathematics
1 answer:
Ratling [72]3 years ago
5 0

Answer:

Basic Formulas

sin θ = Opposite Side/Hypotenuse.

cos θ = Adjacent Side/Hypotenuse.

tan θ = Opposite Side/Adjacent Side.

sec θ = Hypotenuse/Adjacent Side.

cosec θ = Hypotenuse/Opposite Side.

cot θ = Adjacent Side/Opposite side.

Hope this helps :)

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Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
3 years ago
If 112 people attend a concert and tickets for adults cost $2.25 while tickets for children cost $and total receipts for the con
Brut [27]

Answer:

42 child and 70 adult

Step-by-step explanation:

Let a = number of adult tickets

c = number of child tickets

a+c = 112

2.25a + 1.75c = 231

Solve the first equation for a

a = 112-c

Substitute this into the second equation

2.25(112-c) + 1.75c = 231

Distribute

252 - 2.25c +1.75c = 231

Combine like terms

252 -.5c = 231

Subtract 252 from each side

252-252 -.5c = 231-252

-.5c = -21

Divide each side by -.5

-.5c/-.5 = -21/ -.5

c = 42

Now can find a

a = 112-c

a = 112-42

a = 70

4 0
4 years ago
Read 2 more answers
If and are equivalent, what is the value of x?
Strike441 [17]

Answer:

is the value of x. Step-by-step explanation: We have been given the two terms which are equivalent means they have equal value: and . So, by the given information: we have to solve for x: Firstly, we will cross multiply so, we will get: After simplification we will get the final result is the value of x.

Step-by-step explanation:

3 0
3 years ago
The odds of winning a contest are 3:7. What is the probability winning the contest?
DiKsa [7]

Answer:

0.3

Step-by-step explanation:

Given: The odds of winning a contest are 3:7

To find: probability of winning the contest

Solution:

Probability refers to chances of occurrence of an event.

Odds are defined as (chances for success) : (chances against success)

Probability of winning = (chances for success) : (chances for success + chances against success)  

As odds of winning a contest are 3:7,

(chances for success) : (chances against success) = 3:7

So,

Probability of winning the contest = \frac{3}{3+7} =\frac{3}{10}=0.3

5 0
3 years ago
Which expression is equivalent to 5y^3/(5y)^-2<br><br> A.y^5<br> B.y^6<br> C.125y^3<br> D.125y^5
inn [45]

Answer:

A) Y^5

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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