All categories

3 years ago

Radian question. Answer asap please!!!

Mathematics

1 answer:

ruslelena [56]3 years ago

3 0

Answer:

Ф = s/r

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle. We want to find a formula for the angle Ф in terms of s and r. To do this, start with s = rФ and divide both sides by r:

s rФ

-- = ----

r r

Then Ф = s/r

You might be interested in

Add the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending powers o

tresset_1 [31]

ANSWER
$13 {x}^{3} - 2 {x}^{2} + 3x + 13$

EXPLANATION

The first polynomial is
$5 {x}^{3} + 3 {x}^{2} - 5x + 4$

The second polynomial is
$8 {x}^{3} - 5 {x}^{2} + 8x + 9$

If we add the two polynomials we obtain,

$(5 {x}^{3} + 3 {x}^{2} - 5x + 4) + (8 {x}^{3} - 5 {x}^{2} + 8x + 9)$

Next we group like terms to obtain,

$5 {x}^{3} + 8 {x}^{3}+ 3 {x}^{2} -5 {x}^{2} - 5x + 8x + 9 + 4$

We simplify the to obtain,

$13{x}^{3} -2{x}^{2} + 3x + 13$

This is the sum of the two polynomials in descending powers of
$x$

Descending means from the highest power to the least.

8 0

3 years ago

The point (-2, k) lies on the line 2x – 4y + 3 = 0.<br> Find the value of k.

Over [174]

Answer:

k = (-1/4)

Step-by-step explanation:

Given that,

The point (-2, k) lies on the line 2x – 4y + 3 = 0.

We need to find the value of k.

Put x = -2 and y = k in the given equation.

2(-2) – 4k + 3 = 0

-4-4k = -3

-4+3 = 4k

-1 = 4k

k = (-1/4)

So, the value of k is equal to (-1/4).

6 0

3 years ago

How far away is the moon

otez555 [7]

Answer : 238,900 mi

3 0

3 years ago

Joaquin took a quiz worth 45 points. He earned 40 points. What was his score

storchak [24]

40 divided by 45 equals about 0.89
so its 89%

5 0

3 years ago

Read 2 more answers

Use a 30degrees and -60degrees right triangle to find the exact value of the following trigonometric expression. Cot 30 degrees=

LuckyWell [14K]

The dirty little secret about trig is students mostly just need to understand the 45/45/90 right isosceles triangle and the 30/60/90 triangle, which is half an isosceles triangle.

I'm sure you have seen it many times already, so I'll remind you in the 30/60/90 right triangle the sides opposite those angles are respectively in the ratio $1: \sqrt{3}:2$ . Remember the smallest side is always opposite the smallest angle, etc. These make a right triangle because

$1^2 + \sqrt{3}^2 = 2^2$

So in this hypotenuse 2 triangle, the length 1 side is opposite the 30 degree angle and the $\sqrt{3}$ side is adjacent to it.

We could jump right to the answer but let's enumerate all the trig functions. Really you should memorize the sine and cosine so you can get these quickly.

$\cos 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{hypotenuse} } = \dfrac{\sqrt{3}}{2}$

$\sin 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{hypotenuse} } = \dfrac{1}{2}$

$\tan 30^\circ = \dfrac{ \textrm{opposite} }{ \textrm{adjacent} }= \dfrac{1}{\sqrt{3}} =\dfrac{\sqrt{3}}{3}$

$\cot 30^\circ = \dfrac{ \textrm{adjacent} }{ \textrm{opposite}} = \dfrac{\sqrt{3}}{1} =\sqrt{3}$

$\sec 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{adjacent}}= \dfrac{2}{\sqrt{3}}$

$\csc 30^\circ = \dfrac{ \textrm{hypotenuse} }{ \textrm{opposite}}= \dfrac{2}{1} = 2$

We want the cotangent, another way to get it is

$\cot 30^\circ = \dfrac{\cos 30^\circ}{\sin 30^\circ} = \dfrac{\sqrt{3}/2}{1/2} = \sqrt{3}$

8 0

3 years ago

Read 2 more answers