What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

A model is made of an airplane is 48 ft long and the model is 36 inches long what is the ratio of the length of the model to the

Leno4ka [110]

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5 0

3 years ago

If a polynomial function f(x) has roots -9 and 7-i, what must be a factor of f(x)

Likurg_2 [28]

Hello from MrBillDoesMath!

Answer:

x + 9 and (x + ( i - 7)) are factors

Discussion:

If f(x) has roots -9 and 7-i then

f(x) = g(x)(x - (-9)) (x - (7-i)) ( g(x) is a polynomial of degree less than f(x))

That is, x + 9 and (x + ( i - 7)) are factors of f(x)

BTW: if the coefficients of f(x) are real (not stated in the Question) then the conjugate of 7-i, i.e. 7 + i, is also be a root.

Thank you,

MrB

3 0

3 years ago

Read 2 more answers

Solve the following system of equations. {y=−2x−92x+3y=−3 Write your answer as an ordered pair in the form (x,y).

Over [174]

Answer:

(x, y) = (-6, 3)

Step-by-step explanation:

Maybe you want to solve ...

y = -2x -9
2x +3y = -3

Use the first equation to substitute for y in the second:

2x +3(-2x -9) = -3

2x -6x -27 = -3

-4x = 24 . . . . . . . . . add 27, simplify

x = -6 . . . . . . . . . . . divide by -4

y = -2(-6) -9 = 12 -9 = 3

The solution is (x, y) = (-6, 3).

6 0

3 years ago

They're just hired a new employee to work in your bike shop in one hour the employee burns 55 chocolate chip cookies if this rep

KATRIN_1 [288]

Answer:

250 cookies

Step-by-step explanation:

The employee burns 55 chocolate chip cookies

if this represented 22% of the days production

Let x = the total production of cookies for the day

how many cookies did you plan on producing that day?

22% of x = 55

22 / 100 * x = 55

0.22x = 55

Divide both sides by 0.22

x = 55 / 0.22

= 250

x = 250 cookies

Therefore, the total production of cookies for the day is 250

6 0

2 years ago

If one can of paint contains 2 2/5 gallons, how much paint is in one dozen cans of paint?

olasank [31]

Hi there!

Let’s take a look at the question.

One can of paint contains 2 2/5. We can make it easier by transforming the fraction (2 2/5) to a decimal (2.4). Now you have 2.4. Next, it says “one dozen”. One dozen refers to 12 cans. You’ll want to multiply 2.4 with 12.

Your answer is 28.8, or 28 4/5.

Hope this helps!

7 0

3 years ago