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VashaNatasha [74]
3 years ago
15

Tan A+ Tan (90-A) = secA .sec (90-A)​

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the cofunction identities

tan(90 - A) = cotA and cscA = sec(90- A)

Consider the left side

tanA + tan(90 - A)

= tanA + cotA

= \frac{sinA}{cosA} + \frac{cosA}{sinA}

= \frac{sin^2A+cos^2A}{cosAsinA}

= \frac{1}{cosAsinA}

= \frac{1}{cosA} × \frac{1}{sinA}

= secA × cscA

= secA. sec(90 - A) = right side ⇒ verified

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Find the trigonometric ratio for cos B may need to use Pythagorean theorem
iragen [17]

Answer:

The answer is cos B = 2/3

I hope it will help you :)

7 0
3 years ago
What is the answer to -5+3(6+7n)=82
dalvyx [7]

Answer:

  n = 3 2/7

Step-by-step explanation:

First of all, look at what you have.

It is a linear equation in n, with several layers of operations performed on it.

You can solve this a couple of ways. (1) Simplify the equation to a 2-step linear equation; (2) Undo the operations done on the variable.

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(1) -5 +18 +21n = 82 . . . eliminate parentheses

  21n = 69 . . . . . . . . . . subtract 13

  n = 69/21 = 23/7 . . . . divide by the coefficient of n and reduce the fraction

  n = 3 2/7

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(2) 3(6 +7n) = 87 . . . . . . add 5

   6 +7n = 29 . . . . . . . . . divide by 3

  7n = 23 . . . . . . . . . . . . . subtract 6

  n = 23/7 . . . . . . . . . . . . divide by the coefficient of n

  n = 3 2/7 . . . . write as a mixed number

7 0
3 years ago
Karen is investigating if age has any effect on political party preferences. What is the explanatory variable?
anastassius [24]

Using variable concepts, it is found that the explanatory variable is the age.

<h3>Explanatory and response variables:</h3>
  • The variables of an experiment are divided into explanatory and response.
  • The response variable is the one that is the focus of the study, that is, the one that can be changed.
  • The explanatory is the one that explains the reason of the change in the response variable.

In this problem, the <u>age can effect the political party preference</u>, hence:

  • The variable that is changed is the political party preference, hence it is the response variable.
  • The reason is the age, hence it is the explanatory variable.

You can learn more about explanatory and response variable at brainly.com/question/22046153

6 0
3 years ago
Please help!!!!!! ALL​
ikadub [295]

1

a and d are supplementary angles, forming a line or adding to 180 degrees, so

d =180 - 120  = 60 degrees

2

f and h are called vertical angles, which are congruent.

h=70 degrees

3

c and f are supplementary.  I think they're called consecutive angles.  

f = 180 - c = 70 degrees

4

b and c are supplementary, c and g are congruent so

g = 180 - b = 120 degrees

5 0
4 years ago
David is going to invest $290 and leave it in an account for 15 years.
ankoles [38]
4.5%. if you want the steps go to a website called calculator soup.
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3 years ago
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