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3 years ago

How many radians is 234°? Give the exact answer in simplest form.

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

4.082 radians

Step-by-step explanation:

Here we want to convert 234° into radians.

To do it, we use the fact that pi radians is equal to 180°

Then we can write two equations:

x radians = 234°

3.14 radians = 180°

Where we want to find the value of x, which is the equivalent in radians to 234°.

Now we can take the quotient of these two equations to get:

( x radians)/(3.14 radians) = (234°/180°)

Solving this for x, we get:

x radians = (234°/180°)*(3.14 radians) = 4.082 radians.

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3 years ago

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Which term best describes the<br> quadrilateral formed by A(2, 3),<br> B(4, 6), C(8, 9), and D(5,5)?

Zarrin [17]

Answer:

A kite

Step-by-step explanation:

The coordinates of the vertices of the quadrilateral are;

A(2, 3), B(4, 6), C(8, 9), and D(5, 5), therefore, the length of the sides of the quadrilateral can be found using the following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

(x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints on the side

For side AB, we have;

$l_{AB} = \sqrt{\left (6 - 3 \right )^{2}+\left (4-2 \right )^{2}} = \sqrt{13}$

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For side BC, we have;

$l_{BC} = \sqrt{\left (9 - 6 \right )^{2}+\left (8-4 \right )^{2}} = 5$

The slope = 3/4

For side CD, we have;

$l_{CD} = \sqrt{\left (5 - 9 \right )^{2}+\left (5-8 \right )^{2}} = 5$

The slope = 4/3

For side DA, we have;

$l_{DA} = \sqrt{\left (3 - 5 \right )^{2}+\left (2-5 \right )^{2}} = \sqrt{13}$

The slope = 2/3

Angle ADC = Actan (2/3 - 4/3)/(1 + 2/3*4/3) = -19.44 = 180-19.44 = 160.55°

Angle ABC = Actan (0.75 - 1.5)/(1 + 0.75*1.5) = -19.44 = 180-19.44 = 160.55°

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4 years ago

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3 years ago

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3 years ago

2/3 is what percent of 1/4

asambeis [7]

Answer:

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4 years ago

How many radians is 234￼°? Give the exact answer in simplest form.

How many radians is 234°? Give the exact answer in simplest form.