Please help me. Pleaseeeeeeee

Mathematics

1 answer:

777dan777 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

To solve for the measure of Angle N with the given side lengths, you need to find the inverse tangent (tan^-1). You use the tangent because you have the opposite and adjacent side lengths of the angle.

The step by step solution:

tan(<N)=1.7/6.7

<N=tan(^-1)1.7/6.7

<N=14 degrees

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The sum of two numbers is 191. One number is 17 less than the other number.

Montano1993 [528]

Answer:

87 and 104

Step-by-step explanation:

8 0

3 years ago

when the polynomial f(x) is divided by (x-2) the remainder is 4, and when it is divided by (x-3) the remainder is 7. Given that

natima [27]

$f(x)=(x-2)(x-3)Q(x)+ax+b$

Recall the polynomial remainder theorem: the remainder upon dividing a polynomial $p(x)$ by $x-c$ is equal to $p(c)$ . This means that $f(2)=4$ and $f(3)=7$ , which tell us

$4=2a+b$

$7=3a+b$

From here we can solve for $a,b$ :

$4=2a+b\implies b=4-2a$

$7=3a+b=3a+(4-2a)\implies a=3\implies b=-2$

so that

$f(x)=(x-2)(x-3)Q(x)+3x-2$

Now,

$\dfrac{f(x)}{(x-2)(x-3)}=Q(x)+\dfrac{3x-2}{(x-2)(x-3)}$

so the remainder upon dividing $f(x)$ by $(x-2)(x-3)$ is $3x-2$ .

Next, if $f$ is a cubic function, then $Q(x)$ is a linear polynomial that can be written as $Q(x)=cx-d$ . The coefficient of $x^3$ in $f(x)$ is 1 (unity), so that expanding $f(x)$ gives us