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galben [10]
2 years ago
6

What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to t

he nearest hundredth.
Group of answer choices

4 radians

0.25 radians

0.33 radians

36 radians
Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer: 0.25 radians

Step-by-step explanation:

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MA_775_DIABLO [31]
F'(x)=-2x{e^(-x²)}
Equating f'(x)=0,
i.e,

-2x{e^(-x²)}=0....eqn(i)
For maximum slope:
Differentiating (i) wrt x,we get,
4x² {e^(-x²)}-2 {e^(-x²)}=0
{e^(-x²)} [4x²-2]=0
4x²-2=0
x=1/√2

If f(x)=y then f'(x)=dy/dx=slope
So,
Maximum slope
= f'(x)
= -2x{e^(-x²)}
=-2×(1/✓2){e^(-1/✓2)²}
= -✓2{e^(-1/2)}
=(-sqrt 2/sqrt e)
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3 years ago
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3 so D
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3 0
3 years ago
Jimmy has a diecast metal car that is a scale model of an actual race car. If the actual length of the car is 10 feet 6 inches a
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8 0
4 years ago
Let f(x) = -4x + 7 and g(x) = 2x - 6. Find (f o g)(1)
laila [671]
Same thing,

f(g(1))
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5 0
4 years ago
Read 2 more answers
Given the system of equations, what is the solution?
Elena L [17]

Answer:

{(-34/7, -16/7)}

Step-by-step explanation:

Rearrange values, multiply to solve for x.

(5) 2y = 3x + 10

(-2) 5y = 4x + 8

Solve for x.

10y = 15x + 50 ↓

-10y = -8x -16

Combine and evaluate.

0 = 7x + 34

Subtract 34 from both sides.

7x = -34

Divide both sides by 7.

x = \frac{-34}{7}

Plugin x value into either equation to solve for y.

2y = (3 × \frac{-34}{7}) + 10

2y = \frac{-102}{7} + 10

2y = \frac{-32}{7}

y = \frac{-16}{7}

7 0
3 years ago
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