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3 years ago

How long is the arc subtended by an angle of 9π/5 radians on a circle of radius 30 cm?

Mathematics

1 answer:

Naily [24]3 years ago

7 0

Answer:

54π

Step-by-step explanation:

54π is correct. (9π/5)(30)= 54π

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Find Distance (4,6) (-4,-3)

vampirchik [111]

Answer:

$\sqrt{145}$

Step-by-step explanation:

The distance formula states that the distance between two points $(a,b)$ and $(c,d)$ is $\sqrt{(a-c)^2+(b-d)^2}$ .

The two points we have are $(4,6)$ and $(-4,-3)$ . Plugging these numbers into the distance formula, we have

$\sqrt{(4-(-4))^2+(6-(-3))^2$ .

Simplifying with order of operations, first using the distributive property, gives

$\sqrt{(4+4)^2+(6+3)^2$ .

Squaring and adding gives

$\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},$

which is the answer in simplest form. This also rounds to about 12.04.

7 0

2 years ago

can you guys answer this please i have no idea what im doing,there is one that is 15% that is not on the screenshot

vampirchik [111]

Are you trying to convert the percentages into fractions or??

3 0

2 years ago

I. Write the equation of a parabola, in standard form, that goes through these points: (0, 3) (1, 4) (-1, -6) II. Graph the para

Anna11 [10]

Vertex = (1,4)
Axis of symmetry is x = 1, (1,0) or just 1

7 0

3 years ago

Consider the function f ( x ) = 1 − 4 x 2 on the interval [ − 1 , 3 ] . Find the average or mean slope of the function on this i

Blababa [14]

Answer:

The average slope is 8.

Step-by-step explanation:

Let f be defined on the closed interval [a, b]. The average slope of f between a and b is the quotient

average slope = $\frac{f(b)-f(a)}{b-a}$

To find the average slope of the function $f(x)=1-4x^2$ on the interval [-1, 3] you have to evaluate your function in the interval and then divide by the interval.

So,

$f(-1)=1-4(-1)^2=-3\\\\f(3)=1-4(3)^2=-35$

The average slope is $\frac{f(3)-f(-1)}{3+1}= \frac{-3+35}{3+1}=\frac{32}{4}=8$

4 0

2 years ago

I really need help please help me out!

creativ13 [48]

I should say b or c

7 0

3 years ago