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3 years ago

20 points and brainly if correct

Mathematics

2 answers:

solniwko [45]3 years ago

3 0

Answer:167.67
I just took the test

stealth61 [152]3 years ago

3 0

167.67 hope it helps .

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Pls help bruh brainliest it’s for a grade PLS

inn [45]

A but I’m not 100% sure

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3 years ago

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

Rita is hiking along a trail that is 13.7 miles long. So far she has hiked along one-tenth of the trail. How far has Rita hiked?

Rus_ich [418]

1.37 miles because 13.7 times 0.1 is 1.37.

6 0

3 years ago

The radius of a sphere is multiplied by 7. What effect does this have on the volume of the sphere?

elena55 [62]

Answer:

The new volume is 7^3 or 343 times the old volume

Step-by-step explanation:

The original sphere has a volume of

V = 4/3 pi r^3

The radius is multiplied by 7

The new volume is

V = 4/3 pi (7r) ^3

V = 4/3 pi (7)^3 r^3

The new volume is 7^3 or 343 times the old volume

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3 years ago

Ordinary quarters and a fake quarter with two heads are placed in a hat. One-quarter is selected at random and tossed twice. If

motikmotik

How many quarters of each are there?

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3 years ago