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laiz [17]
2 years ago
6

How to answer this problem

Mathematics
1 answer:
ruslelena [56]2 years ago
6 0

Answer:

m<C = 12.0 °

Step-by-step explanation:

Since we know that this is a non-right triangle, we must use either the law of sines or law of cosines to find m<C.  

The information we now have only allows us to use the law of sines, which focuses on proportions:

\frac{SinA}{a}=\frac{SinB}{b}=\frac{SinC}{c}

Thus, we can use:

\frac{sin(98)}{19}=\frac{sinC}{4}\\ 4*sin(98)=19*sinC\\ \frac{4*sin(98)}{19}=sinC\\ sin^-1\frac{4*sin98}{19}=12.033=12.0

The sin^-1 represents the sin inverse, which you must use to find angle measures.

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Third-degree, with zeros of −3 , − 2 , and 1 , and passes through the point ( 3 , 11 ) .
Masja [62]

Answer:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

Step-by-step explanation:

Lets   y  =  f(x)   in a cartesian coordinates

Having three zeros:

x = -3       ⇒   x  = -2      ⇒   and   x = 1  

That meas that if   x  takes the above mentioned  values " y " must be zero

therefore  y  must be of the form

f (x)  =  y  =  ( x + 3 ) *  ( x +  2 ) * ( x - 1 )     (1)

In that case for y to be zero one of the factors should be zero or

y  =  0        x  + 3 = 0    and  x = - 3  is a zero of the function y .

The same reasoning applies for the other two roots

Now we have to evaluate the other condition.

According to problem statement the function passes through the point ( 3, 11 ) , that means that when x =  3 ,  y have to be 11, therefore we plug in equation (1)  that value to see what happens

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )

11  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1)   =  6*5*2  = 60

Then we adjust the expression (1) to meet the condition of the function passing through point  ( 3 , 11) as:

y  =  ( 3 + 3 ) * ( 3 + 2 ) + ( 3 - 1) * 11/60    (2)

and check to see if we did right

for y to be zero      x   can be    x = - 3    x  =  -2   and  x = 1 in all these cases y = 0.  And if  x  =  3   in equation (2)  y = 11. And that what we want to shown. Then the solution is:

y  =   ( x + 3 ) *  ( x +  2 ) * ( x - 1 )* 11/60

8 0
3 years ago
Evaluate the function: f(x)= 2x+5, for x=3
JulijaS [17]
Replace X with 3 and simplify. The answer you would get is 11.
8 0
3 years ago
Read 2 more answers
The measure of angle BAC can be calculated using the equation sin−1 = x. What is the measure of angle BAC? Round to the nearest
Verizon [17]
Yje answer would be 44 degrees

5 0
3 years ago
The price of 1 gallon of milk has increased $3.24 to $4.05. What is the percentage
AURORKA [14]
4.05 - 3.24 = 0.81
(0.81 / 3.24)*100 = 25%
5 0
3 years ago
3. Given the recursive equation for each arithmetic sequence, write the explicit equation.
NeX [460]

Given:

The recursive formulae are:

(a) f(n)=f(n-1)-2; f(1)=8

(b) f(n)=5+f(n-1); f(1)=0

To find:

The explicit equation.

Solution:

A recursive formula of an arithmetic sequence is

f(n)=f(n-1)+d and f(1) is the first term.

Where, d is the common difference.

The explicit formula is

f(n)=a+(n-1)d

where, a is first term and d is common difference.

(a)

We have,

f(n)=f(n-1)-2; f(1)=8

Here, first term is 8 and common difference is -2. So, the explicit formula is

f(n)=8+(n-1)(-2)

f(n)=8-2n+2

f(n)=10-2n

Therefore, the explicit formula is f(n)=10-2n.

(b)

We have,

f(n)=5+f(n-1); f(1)=0

Here, first term is 0 and common difference is 5. So, the explicit formula is

f(n)=0+(n-1)(5)

f(n)=5n-5

Therefore, the explicit formula is f(n)=5n-5.

3 0
2 years ago
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