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3 years ago

If the perimiter of a sector is 4 times its radius, then the radian measure of the ceenral angel of the sector is

1 answer:

6 0

The perimeter of a sector includes two segments that are each equal to the radius, and the arc length. For your sector, the arc length is found as
perimeter = 4r = r + r + arc-length
2r = arc-length

Now we also know that arc-length is related to the central angle (in radians) by
arc-length = r*central-angle
2r = r*central-angle
2 = central-angle

The measure of the central angle of the sector is 2 radians.

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I need help with this please!!!!

Lisa [10]

Answer:

∠3=95°

∠4=85°

Step-by-step explanation:

6 0

3 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

If a = b and 1/x + 1/a = 1/b then x =

seraphim [82]

1/x+1/a=1/a
minus 1/a from both sides
1/x=0
false
let's try a differnt way
1/x+1/a=1/a
times both sides by xa
a+x=x
minus x from both sides
a=0
???
1/0 is undefined
this creates problems

no solution

6 0

4 years ago

Need help please right answers

cestrela7 [59]

Answer:

Step-by-step explanation:

y-intercept is where x is zero, so we must look at where the y-iterceot is crossed

3 0

3 years ago

at the grocery store at the manager told Jake that they stocked the fresh fruit, with 9 apples for every 6 peaches at this ratio

Lana71 [14]

Answer:

divide the apples and peaches then multiply it by the ratio you get when you divide the two different fruits

Step-by-step explanation:

hope it helps

8 0

3 years ago