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1 year ago

If one value of arctan A is 37°, find another value of arctan A in the interval [0°, 360°).

Mathematics

1 answer:

const2013 [10]1 year ago

7 0

Answer:

217°

Step-by-step explanation:

the tangent ratio is positive in the first and third quadrants.

37° is the angle in the first quadrant

then the angle in the third quadrant is

180° + 37° = 217°

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In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

MAXImum [283]

Given:

The vertices of a right triangle are:

$(-3,4),(3,4),(3,-4)$

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are $A(-3,4),B(3,4),C(3,-4)$ .

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(3-(-3))^2+(4-4)^2}$

$AB=\sqrt{(3+3)^2+(0)^2}$

$AB=\sqrt{(6)^2+0}$

$AB=\sqrt{36}$

$AB=6$

Similarly,

$BC=\sqrt{(3-3)^2+(-4-4)^2}$

$BC=\sqrt{(0)^2+(-8)^2}$

$BC=\sqrt{64}$

$BC=8$

And,

$AC=\sqrt{(3-(-3))^2+(-4-4)^2}$

$AC=\sqrt{(6)^2+(-8)^2}$

$AC=\sqrt{36+64}$

$AC=\sqrt{100}$

$AC=10$

Now, taking sum of squares of two smaller sides, we get

$AB^2+BC^2=6^2+8^2$

$AB^2+BC^2=36+64$

$AB^2+BC^2=100$

$AB^2+BC^2=AC^2$

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0

3 years ago

2. In the figure given alongside, find the values of x and y.<br><br><br>

dimulka [17.4K]

Answer:

y=50°

x=232°

Step-by-step explanation:

cuz y+130=180

y=50

and

y+68+x=360°

50+68+x=360°

so x =232

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2 years ago

Please help!!!!!!! Will mark brainliest

netineya [11]

Answer:

$\displaystyle 5$

Step-by-step explanation:

$\displaystyle ±7 = \sqrt{49} \\ \\ -7 = x + 2\:\:AND\:\:7 = x + 2 \\ \\ -9, 5 = x$

Sinse you want the POSITIVE solution, your answer is 5.

I am joyous to assist you at any time.

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2 years ago

HELP PLS! whoever gets it right gets brainliest!!

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Answer: Pretty sure it is 3

Step-by-step explanation:

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