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siniylev [52]
3 years ago
12

Determine the approximate value of c.

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

Answer:

Step-by-step explanation:

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NEED HELP ASAP! BRAINLIEST will be granted!!!
noname [10]

Answer:

1.72222\ radians

Step-by-step explanation:

Given radius=9 and arc length=15.5.

arc\ length=radius\times central\ angle(radians)\\Central\ angle(radians)=\frac{arc\ length}{radius} \\

central\ angle=\frac{15.5}{9}=1.72222\ radians

7 0
3 years ago
2x^3-x^2+x-2 factorize​
bekas [8.4K]

Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
Read 2 more answers
How to calculate monthly salary 5,000 month salary?
Vlada [557]
We have to calculate by multiplying 5,000 and total number of months
7 0
3 years ago
Which of the following is the solution set of x² + 8x + 12 = 0?
raketka [301]

Answer:

\fbox{\begin{minipage}{9em}x = -2 and x = -6\end{minipage}}

Step-by-step explanation:

Given:

x^{2} + 8x + 12 = 0

Solve for:

x

Solution:

Step 1: Select the formula to solve for x

There are some ways to solve quadratic equations.

One of the simple way (if possible) is performing the factorization.

Another way is using the quadratic formula.

Here, we are going to use factorization.

Step 2: Perform factorization

      x^{2} + 8x + 12 = 0

<=>x^{2}  +  2x + 6x  + 12 = 0

<=>(x^{2} + 2x) + (6x + 12) = 0

<=>x(x + 2) + 6(x + 2) = 0

<=>(x + 2)(x + 6) = 0

<=> x = -2 or x = -6

Hope this helps!

:)

4 0
2 years ago
A box containing packets of oatmeal has the shape of a rectangular prism measuring 12 cm by 20 cm by 7 cm. 
qaws [65]
The answer is D

12 * 20 * 7 = 1680
8 0
3 years ago
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