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3 years ago

I'm very confused help....

Mathematics

1 answer:

alisha [4.7K]3 years ago

8 0

Step-by-step explanation:

LHS = Left Hand Side ; RHS = Right Hand Side

a) RHS = 1/ tan x

= 1/ (Sin x/Cos x)

= Cos x/Sin x

= LHS

b) LHS = Sin^2 x / tan^2 x

= Sin^2 x / (Sin^2 x/Cos^2 x)

=( Sin^2 x * Cos^2 x) / (Sin^2 x)

= Cos^2 x

= 1 - Sin^2 x (Because sin^2 x + cos^2 x = 1)

= RHS

c) RHS = Sin^3 x / tan x + Cos^3 x

= Sin^3 x / (Sinx/Cosx) + Cos^3 x

= (Sin^3 x * Cos x)/Sin x + Cos^3 x

= Sin^2 x * Cos x + Cos^3 x

= Cos x (Sin^2 x + Cos^2 x)

= Cos x *(1) {Because, Sin^2 x + Cos^2 x = 1}

= Cos x

= LHS

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If m<FHI=142, what are m<FHG and m<GHI

lisabon 2012 [21]

<h3>Answers:</h3>

angle FHG = 42 degrees

angle GHI = 100 degrees

=========================================================

Explanation:

FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.

Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)

This is the angle addition postulate.

------------------

(angle FHG) + (angle GHI) = angle FHI

(3x+6) + (9x-8) = 142

3x+6+9x-8 = 142

(3x+9x) + (6-8) = 142

12x - 2 = 142

12x-2+2 = 142+2 ... adding 2 to both sides

12x = 144

12x/12 = 144/12 .... dividing both sides by 12

x = 12

------------------

Use that x value to find the angles we're after

angle FHG = 3x+6 = 3*12+6 = 36+6 = 42

angle GHI = 9x-8 = 9*12-8 = 108-8 = 100

Note how

(angle FHG) + (angle GHI) = 42 + 100 = 142

which is the measure of angle FHI. This confirms the answers.

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3 years ago

A hollow crystal ball is made of glass that is 3 cm thick. The ball has a radius to the outside surface of 8 cm. What is the app

Vadim26 [7]

Answer:

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Sorry if I'm late The correct answer is 1620.2

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3 years ago

A jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30o east of north (or 30o ne). how far is he fro

Natasha_Volkova [10]

Magnitude of the net displacement: 7.0 miles

Step-by-step explanation:

In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.

Taking x as positive x direction and y as positive north direction:

- The first motion is 3 miles due east, so

$A_x = 3 mi\\A_y = 0$

- The second motion is 5 miles at $30^{\circ}$ east of north, so:

$B_x = 5 sin 30^{\circ}=2.5 mi\\B_y = 5 cos 30^{\circ}=4.3 mi$

So the components of the net displacement are

$R_x = A_x + B_x = 3 + 2.5 = 5.5 mi\\R_y = A_y+B_y = 0 + 4.3 = 4.3 mi$

And so the magnitude of the net displacement is

$d=\sqrt{R_x^2+R_y^2}=\sqrt{5.5^2+4.3^2}=7.0 mi$

So, he is 7.0 miles far from the house.

Learn more about distance and displacement:

brainly.com/question/3969582

#LearnwithBrainly

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4 years ago