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Helga [31]
3 years ago
15

I need help with this

Mathematics
1 answer:
AleksAgata [21]3 years ago
5 0

9514 1404 393

Answer:

  60°

Step-by-step explanation:

The angle marked x° where the tangents intersect is the supplement of the (near, smaller) arc the tangents intercept.

  180° -120° = 60° = x°

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LenKa [72]

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7 0
4 years ago
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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?
Vilka [71]

Answer:

\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

\sf \implies p(x)=- x^3+cx^2-4x+3

And the factor is ,

\sf \implies g(x) = x + 3

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}

<h3><u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
4 0
3 years ago
A one-year subscription to the monthly magazine costs $15.96. At this price, what is the cost for each issue?
natka813 [3]

Answer:

Your answer is that the magazine would cost $1.33 per issue.

Step-by-step explanation:

There are 12 months in a year and we get one issue per month, so we need to divide the cost 15.96 by 12 to find out the price per month. Your answer is that the magazine would cost $1.33 per issue.

6 0
3 years ago
Read 2 more answers
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