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mezya [45]
3 years ago
14

A circle with circumference 8 has an arc with a 288 degree central angle

Mathematics
1 answer:
Lapatulllka [165]3 years ago
3 0

Answer:

Step-by-step explanation:

l=8

\theta=288 \pi /180=72\pi /45=8\pi /5\\\theta=\frac{l}{r} \\r=\frac{l}{\theta}=8 \times 5/(8 \pi )=5/\pi \approx 1.59

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What is the equation of the horizontal asymptote? f(x)=4(52)x+7<br> y=?
natta225 [31]

ANSWER

y=7

EXPLANATION

The horizontal asymptote of an exponential function

f(x)= a {(b)}^{x}  + c

is y=c.

The given exponential function is

f(x)= 4 {(52)}^{x}  + 7

When we compare to

f(x)= a {(b)}^{x}  + c

c=7, therefore the horizontal asymptote is y=7.

4 0
3 years ago
Where are the asymptotes for the following function located? f (x) = StartFraction 14 Over (x minus 5) (x + 1) EndFraction
m_a_m_a [10]

Answer:

2 vertical asymptotes occurring at x = 5 and x = -1

Step-by-step explanation:

given

f(x) = \frac{14}{(x-5)(x+1)}

recall that asymptotic occur at the locations that will make the equation undefined. In this case, the asymptote will occur at x-locations which will cause the denominator to become zero (and hence undefined)

Equating the denominator to zero,

(x-5)(x+1) = 0

(x-5) =0

x = 5 (first asymptote)

or (x+1) = 0

x = -1  (2nd asymptote)

6 0
3 years ago
I really need help on this geometry question, please, and thank you.
photoshop1234 [79]

Answer:

250

Step-by-step explanation:

you have to use the fact that the big triangle and the small triangle are similar and write the proportions

\frac{125}{10} =\frac{AB}{10}  we took half of the side because of ΔABD and ΔBD..

AB= (125*10)/10=125

is AB =125 then AC is duble AC= 2*125=250

7 0
3 years ago
If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)
Natalka [10]

Answer:

<h2>(h - g)( - 2) = 18</h2>

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

<h3>(h - g)(x) =  {2x}^{2}  - 5x + 2 - ( {x}^{2}  - 2x - 6)  \\  =  {2x}^{2}  - 5x + 2 -  {x}^{2}  + 2x + 6 \\  =  {2x}^{2}  -  {x}^{2}  - 5x + 2x + 2 + 6</h3><h3>(h - g)(x) =  {x}^{2}  - 3x + 8</h3>

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

<h3>(h - g)( - 2) =  ({ - 2})^{2}  - 3( - 2) + 8 \\  = 4 + 6 + 8 \\  = 10 + 8</h3>

We have the final answer as

<h3>(h - g)( - 2) = 18</h3>

Hope this helps you

7 0
3 years ago
A model of an airplane is built using the ratio of similarity 1 to 50. The airplane is 60feet long. What is the length of the mo
Whitepunk [10]

Answer:

1.2 feet long

Step-by-step explanation:

(1/50) * 60 = 1.2

6 0
3 years ago
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