Given the following triangle, which Trig function would you use to solve for the missing side length? *


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Sine
Cosine
Tangent

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer:

6.53 s

Step-by-step explanation:

The height of the cannon ball is represented by a quadratic function as:

h(t) = -4.9t² + 30.5t +9.8.

At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8

That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:

h(t) = -4.9t² + 30.5t +9.8

It touches the ground when h(t) = 0. Hence:

0 = -4.9t² + 30.5t + 9.8

Solving the above quadratic equation gives:

t = 6.53 s and t = -0.31 s

Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.

Answer: The one filled with wooden cubes.

Step-by-step explanation:

First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.

In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm

We know that:

1.6cm*5 = 8cm

Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).

Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.

And we know that:

density = mass/volume.

Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.

Answer:

Answer is 2

Step-by-step explanation:

Answer:

1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.

Answer:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

So we multiply 2 by 6, and get 12.

Then we multiply 1 by 3, and get 3.

Next we give both terms new denominators

So now our fractions look like this:

12/18-3/18

Since our denominators match, we can subtract the numerators.

12 − 3 = 9

So the answer is:

9/18

So we reduce it:

9/18divided by 3=3/6

so since it’s equivalent we reduce it again

3/6divided by 3 which equals 1/2

and that’s our final answer 1/2

I hoped that this helps :)

Answer:

V=πrh/2

Step-by-step explanation:

volume of a cylinder can be calculated using below formula

V=πr2h

Given:

radius =2r cm

height= h/4cm

If we substitute the given value into the formula we have πrh/2

V= π ×(2r) ×(h/4)

Simplyfying

V=πrh/2

Hence, The volume of a cylinder is V=πrh/2

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

Answer:

B, 4

Step-by-step explanation:

The greatest common factor of 20 and 28 is 4

Answer:

B) 40 sq. in

Step-by-step explanation:

4 times 10 = 40

Answer:

The answer is 357

Step-by-step explanation:

Answer:

f(_6) = _7(_6)_5

=42_5

=37

Answer:

Although an individual gene may code for a specific physical trait, that gene can exist in different forms, or alleles.

Step-by-step explanation:

One allele for every gene in an organism is inherited from each of that organism's parents. ... Alleles produce phenotypes (or physical versions of a trait) that are either dominant or recessive.

Step-by-step explanation:

[tex] \frac{3 + 4 \sqrt{6} }{ \sqrt{3 } + \sqrt{2} } = \frac{3 + 9.798}{3.146} = \frac{12.798}{3.146} = 4.068 = 4.07[/tex]

Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.

Step-by-step explanation:

You welcome

Can I get brainliest when sun else answers?

[tex] \boxed{ \sf{Area \: = 57 \: {cm}^{2} }}[/tex]

[tex] \boxed{ \sf{Perimeter = 34 \: cm}}[/tex]

See workings in the attached picture !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:

N-Natural

R-Real

Z-integer

Q-rational

Answer:

The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .

Step-by-step explanation:

Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!

158.04$.

A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.

Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,

discounted price of jacket = 213 (1- 30%)

discounted price of jacket = 149 approx.

Total price of the jacket after-tax = 149 (1 + 6%)

The total price of the jacket after-tax = 158.04$

Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.

Learn more about discounts here:

https://brainly.com/question/3541148

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Answer:

1. The judge should set a reasonable bail

2. All women

Step-by-step explanation:

Answer:

11. C. Maria should be allowed to call witnesses to support her innocence.

12. C. All women

Step-by-step explanation:

11. If she's pleading not guilty then she should have the right to get a witness.

12. This is the 19th amendment that granted women the right to vote.

Answer:

6/32 or 3/16 chance

Step-by-step explanation:

Adding all of the marbles up we get our total, 32.

We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.

Answer:

6/32 or u can simplify it to 3/16

Plzzzzz give me Brainliest!!!!!  

Answer:

X=5 and X=5

Step-by-step explanation:

X²-10x+25=0

X²-5x-5x+25=0

X(x-5)-5(x-5)=0

(X-5) (x-5)=0

X-5=0. x-5=0

X=5. x=5

Answer:

Hi! The correct answer is 3x-4y=8

Step-by-step explanation:

Answer:

C) 20

Step-by-step explanation:

3^4−21/3

Convert the exponent to a number

=81−21/3

Subtract

=60/3

Simplify

=20

It's always okay if your not sure about something

keep on trying :D

Answer:

cant its blocked

Step-by-step explanation: