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3 years ago

Find the arc length with the given information. central angle = n/4, radius=3

Mathematics

2 answers:

BabaBlast [244]3 years ago

7 0

Answer:

$\frac{3\pi }{4}$

Step-by-step explanation:

Arc length is the product of central angle(in radians) and radius.

i.e.

arc length=radius *central angle(in radians)

$s=r*theta\\s=3*\frac{\pi }{4}\\ s=\frac{3\pi }{4}$

Margaret [11]3 years ago

3 0

Answer:

Option 2. $3\frac{\pi }{4}$

Step-by-step explanation:

As we know for a given arc with a central angle formula to get it's length is

s = r×∅ where s is the length of arc

r = radius of the circle

∅ = central angle

In the given question Central angle = $\frac{\pi }{4}$ and

radius r = 3

So by applying the formula in the question we get

$s = 3\frac{\pi }{4}$

Therefore the length of the given arc is $3\frac{\pi }{4}$ .

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Nimfa-mama [501]

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3 years ago

Which of ghe following is equivalent to (x+4)(3x^2+2x)?

Alexxandr [17]

The given expression is

$(x+4)(3x^2 +2x)$

And in the second factor, x is common. So on taking x out, we will get

$(x+4)(x)(3x+2) = x(x+4)(3x+2)$

We can expand it by distributing , that is

$(x+4)(3x^2 +2x) = x(3x^2 +2x) +4 (3x^2 +2x)$

$= 3x^3 +2x^2 + 12x^2 +8x$

Combining like terms,

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And that's the expanded form ., and the given expression can also be written in that way .

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3 years ago

PLEASE HELPP ♥

kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

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What happens if we try to plug x=

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3 years ago

write an equation in standard form of the line that passes through the point (-2,7) and has a slope of -1

gavmur [86]

Step-by-step explanation:

First, sub in the ordered pair to find y int

(7) = -1(-2) + b

7 = 2 + b

b = 5

So the equation in y int form is

y = -1x + 5

This when convert to stardard form is

x + y = 5

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3 years ago