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3 years ago

Find the length of arc AB

Mathematics

1 answer:

Alexeev081 [22]3 years ago

8 0

Answer:

the answer is 4pi or 12.56637061

Step-by-step explanation:

the arc length equals 2pi x radius ( known angle (120) / 360 which equals 4pi or 12.56637061

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How many cans of cat food will sophie use after 12 days

Tcecarenko [31]

Answer: prob 36 or 24

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3 years ago

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If f(x)=2x^3-6x^2-16x-20f(x)=2x *3 −6x *2−16x−20 and f(5)=0, then find all of the zeros of f(x)f(x) algebraically.

mihalych1998 [28]

The zeros of the cubic function f(x) = 2x³ - 6x² - 16x - 20 are given as follows:

x = 5, x = -1 + i, x = -1 - i.

<h3>How to obtain the solutions to the equation?</h3>

The equation is defined by the rule presented as follows:

f(x) = 2x³ - 6x² - 16x - 20.

One solution for the equation is given as follows:

x = 5.

Because f(5) = 0.

Then (x - 5) is a linear factor of the function f(x), which can be written as follows:

2x³ - 6x² - 16x - 20 = (ax² + bx + c)(x - 5).

This is because the product of a linear function and a quadratic function results in a cubic function.

Now we expand the right side to begin finding the coefficients of the quadratic function that we are going to solve to find the remaining zeros:

2x³ - 6x² - 16x - 20 = = ax³ + (b - 5a)x² + (c - 5b)x - 5c.

Then these coefficients are obtained comparing the left and the right side of the equality as follows:

a = 2.

-5c = -20 -> c = 4.

b = -6 + 5a = 4.

Hence the equation is:

2x² + 4x + 4.

Using a quadratic equation calculator, the remaining zeros are given as follows:

x = -1 + i.

x = -1 - i.

More can be learned about the solutions of an equation at brainly.com/question/25896797

#SPJ1

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1 year ago

True or False, 15%-54% of errors reported from primary care practices are related to the testing process.

vovikov84 [41]

Answer:

i would say true

Step-by-step explanation:

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3 years ago

What is the conversion?

Gelneren [198K]

Answer:

see below

Step-by-step explanation:

The conversion factor in the box is the product ...

$\dfrac{1\,\text{kPa}}{1000\,\text{Pa}}\cdot\left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3=10^{-9}\,\dfrac{\text{kPa m}^3}{\text{Pa cm}^3}$

_____

The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.

Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).

To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.

When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.

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3 years ago

Triangle DEF, with vertices D(2, 5), E(6, 4), and F(3, 3), is reflected across the line y=x. A student determined one of the ver

4vir4ik [10]

The vertices of the image reflected over the line y = x are:
D´( 5 , 2 ), E´( 4, 6 ) and F´( 3, 3 ).
So ( 2, -5 ) is incorrect and it could be incorrectly reflected across over the x-axis.
Answer: B)

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3 years ago

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