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kifflom [539]
3 years ago
10

A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent

ral angle in radians and the diameter of the circle. Which option supports the student’s claim?
Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

Length = angle(radians)*diameter/2

With this expression we can easily deduce the perimeter of a circle (length of the full arc)

Length = Perimeter = 2*pi*r

There is only one operation involved in this process
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Solve <img src="https://tex.z-dn.net/?f=-2x%5E2%20%2B3x%20-%209%20%3D%200" id="TexFormula1" title="-2x^2 +3x - 9 = 0" alt="-2x^2
MArishka [77]

Answer:

x= \frac{3-3\sqrt{7}i }{4} and x= \frac{3+3\sqrt{7}i }{4}

Step-by-step explanation:

We have to solve the given equation - 2x² + 3x - 9 = 0

To solve the equation given above we have to factorize the left-hand side of the equation.

But it can not be factorized. So, use the Sridhar Achaya formula.

Therefore, x= \frac{-3 + \sqrt{3^{2}-4 \times (-2) \times (-9) } }{2\times (-2)} and x= \frac{-3 -\sqrt{3^{2}-4 \times (-2) \times (-9) } }{2\times (-2)}

So,  x= \frac{3-3\sqrt{7}i }{4} and x= \frac{3+3\sqrt{7}i }{4} {Where i=\sqrt{-1}}

Therefore, the solutions are imaginary numbers. (Answer)

Note: The Sridhar Acharya Formula gives if ax² + bx + c = 0, then the roots of the equation are x = \frac{-b + \sqrt{b^{2}-4ac } }{2a} and x = \frac{-b - \sqrt{b^{2}-4ac } }{2a}.  

3 0
4 years ago
A car dealership has 180 cars on their lot. If they increase their inventory by 25%, how many cars will be on the lot?
4vir4ik [10]

Answer:

There will be 225 cars on the lot.

8 0
3 years ago
Read 2 more answers
Help with the question below please!!
Ratling [72]

Answer:

a.= 24 b.=-21 c. is x=-7 or 3

Step-by-step explanation:

7 0
3 years ago
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Which equation represents a nonlinear function? x(y – 5) = 2 y – 2(x 9) = 0 3y 6(2 – x) = 5 2(y x) = 0
Alexeev081 [22]

The equation that represents a nonlinear function is x(y – 5) = 2

<h3>How to determine the equation?</h3>

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

Read more about nonlinear functions at:

brainly.com/question/1418397

#SPJ4

7 0
2 years ago
38 students are going on a field trip. parents will drive. each car can hold 4 students along with the driver. how many cars wil
iVinArrow [24]

Answer:

8 cars :)

Step-by-step explanation:

1 car: 1 driver + 4 students = 5 people total

We must divide to solve :)

38/5 = 7 cars with 3 without a car.

Sine there is a remainder we will need 1 ore car so 8 cars altogether :)

Have an amazing day!!

Please rate and mark brainliest!!

7 0
2 years ago
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