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Alekssandra [29.7K]
3 years ago
9

Plz help with math thank you

Mathematics
1 answer:
Delicious77 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Law of Sines  recall   Sin(A) /a  = Sin(B) /b  

does the above make sense?

Next we need to find  the angle of A

notice that 16+75=91  :o

so angle A is only 89° ..(b/c all the way around then inside of a triangle is 180)  so this is NOT a right triangle but that's okay, b/c law of sines still works fine.

then we want to find length of line AB

and if 89 = A  then a = BC

and if  75 = B the  b = AB (note that in the given triangle this is angle C, i'm using B , b/c you can see the difference between capital B and  lower case b much easier than you can with C, & c  :/   )

capitals are the angles while lower case are the length of the sides

then

Sin(89) / 29 = Sin(75) / b

solve the parts that can be put into numbers or solve for 'b' first, that means isolate 'b' all by itself on one side of the equal sign .

0.034477 = 0.965925/ b

b = 0.965925 / 0.034477

b = 28.0165

b = 28.0 ( to the nearest 10th)

we have the parts to plug in now

Sin(75) /

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Simplify (4x^2+2)÷(2x^2-9x-5)​
frosja888 [35]

Answer:

4.1     Pull out like factors :

   4x2 + 2  =   2 • (2x2 + 1) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2

 of the Trailing Constant :  1

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      3.00        -1     2      -0.50      1.50        1     1      1.00      3.00        1     2      0.50      1.50   

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

 4.3     Factoring  2x2 - 9x - 5 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10   +   1   =   -9   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1 

                     2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (x-5)

              Add up the last 2 terms, pulling out common factors :

                     1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                    (2x+1)  •  (x-5)

             Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

5 0
2 years ago
9. Is the line through points P(7, 3) and Q(11, 0) perpendicular to the line through points R(6, –3) and S(3, 1)? Explain.A)Yes;
Alekssandra [29.7K]

Answer:

C) No, their slopes are not opposite reciprocals.

Step-by-step explanation:

First we find the slopes.

slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4

slope of RS = (-3 - 1)/(6 - 3) = -4/3

product of the slopes = (-3/4) * (-4/3) = 1

The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.

7 0
3 years ago
a survey found that 40% of Shoppers at Max a Mart like chocolate ice cream is 20 Shoppers likes chocolate ice cream how many peo
taurus [48]
Let the total number of people surveyed by y. 
we can solve this by using algebra.

to find the percentage of a number in terms of decimals or integers, just multiply the total by the percentage,
so with this question, 
y x 40% = 20
shift x40% to the other side and turn it into /40%
y = 20 / 40%
change the percentage into decimals for easier calculations,
y = 20 / 0.4
y = 50

therefore, the answer to this is 50 people. 


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