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VMariaS [17]
2 years ago
15

If tan b = 40/9, then sin b = ?​

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

Answer:

40/41

Step-by-step explanation:

Tangent is opposite over adjacent, and sine is opposite over hypotenuse.  We can find hypotenuse from Pythagorean, which gets us 41 as the hypotenuse.  Therefore sin b = 40/41.

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the slope of a line is 3/2 and the line contains the points (5,9) and (3, a). what is the value of a?
vivado [14]
Y = mx + b
slope(m) = 3/2
(5,9)...x = 5 and y = 9
now we sub and find b, the y int
9 = 3/2(5) + b
9 = 15/2 + b
9 - 15/2 = b
18/2 - 15/2 = b
3/2 = b
so ur equation is : y = 3/2x + 3/2.........(3,a)....so x = 3

y = 3/2(3) + 3/2
y = 9/2 + 3/2
y = 12/2
y = 6

so ur missing value is 6...a (or y)  = 6
7 0
3 years ago
Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.
hichkok12 [17]

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations).  Make a table and add to it as you do problems:

      is              means           =

    more than                        +

      twice                              2*x

      sum                               +

      of                            usually means multiply

     ...

Assign variables.  Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables.   Let x = one number;   y = other numbers

Translate:

 "One number is 5 more than twice the other number"    means

            x          =    5    +        2     *      y

 "sum of the two numbers is 29"     means

      x   +   y                    = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

    (5 + 2y)      +     y       =  29

     5 + 3y = 29                    (collect terms)

           3y = 24                (subtract 5 from both sides)

             y = 8

Now, put that value of y into either equation to solve for x  (Which equation is easier??)

     x + 8 = 29

       x  = 21                 (subtract 8 from both sides)

Checking (very important):

 Is 21 really 5 more than 2(8)?

      21 = 5+16     ?

      21  =  21? yes

 Is  21 + 8 = 29  ?

        29 = 29? yes

p.s., learn the process, don't just get the right answer;  there will be lots of problems that are solved the same way!

3 0
1 year ago
PLS DUE RN<br><br><br><br> WILL GIVE <br><br><br><br><br> BRAINLIST
AnnZ [28]

Answer:

52 doses

Step-by-step explanation:

<h3>hope it help</h3>

<h2>#CRRYONLEARNING!</h2>
3 0
3 years ago
What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
2 years ago
The set of ordered pairs in the mapping below can be described as which of the following?
PIT_PIT [208]
Because the x numbers are used more than once it cannot be a function. As for the the relation if its going through the origin then it would be a relation. im going to go with D
4 0
2 years ago
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