Solve the equation square root of the quantity x plus 3 plus 4 equals 5 for the variable. Show each step of your solution process

Answer:

1. half angle

2. x

Step-by-step explanation:

The missing parts of the proof is the variable x.

Trigonometric functions are those functions which are the ratio of the sides of a right angled triangle.

Given,

sin² (x) = [1 - cos (2x)] / 2

We have to prove sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

First, we have

sin² (x) = [1 - cos (2x)] / 2

Substituting x/2 in place of x, we get,

sin² (x/2) = [1 - cos (2x/2)] / 2

sin² (x/2) =  [1 - cos (x)] / 2

sin² ([tex]\frac{x}{2}[/tex]) = [tex]{\frac{1-cos (x)}{2} }[/tex]

Taking square root on both sides,

sin ([tex]\frac{x}{2}[/tex]) = ± [tex]\sqrt{\frac{1-cos (x)}{2} }[/tex]

Hence it is proved.

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Answer:

mx = y

or

y = mx

Step-by-step explanation:

If she pays m per share, and x represents each share, you will multiply m and x. If she sold all them for the value of y. Then you set mx equal to y.

mx = y

or

y = mx

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

Answer    "v = 1.2s"

Step-by-step explanation: because 1.2 is 1*1.2, 2.4 is 2*1.2 and so on..

Answer:

Step-by-step explanation:

18in^2(3mi/in)^2

18in^2(9mi^2/in^2)

162 mi^2

Answer:

786240 different license plates.

Step-by-step explanation:

The required number of plates that can be used is 2,599,974.

Given that,
State-issued license plates use the scheme of one letter followed by five digits, how many plates could it used is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Maxium five-digit number = 99999
Total letters = 26
Number of plates = 26 × 99999 = 2,599,974

Thus, the required number of plates that can be used is 2,599,974.

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Answer:

52

Step-by-step explanation:

55 - 3 = 52

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Answer:

x = 30°

y = 30°

Step-by-step explanation:

By inscribed angle theorem:

[tex]x = y = \frac{1}{2} \times 60 \degree \\ \\ x = y = 30 \degree[/tex]

Answer:

-1/4

Step-by-step explanation:

Answer:

c, a, b

...................

Step-by-step explanation:

it actually equals 3 you x=+_√7 buy washing method

Answer:

(8, 23, 31)

Step-by-step explanation:

The sum of the lengths of the two shorter legs must be greater than the length of the longer leg

(not equal to either)

Answer:

Distance=123.28. Two decimal places is reasonable, because it gives a close approximate to the exact answer, while remaining short and easy to use.

Step-by-step explanation:

Use Pythagorean theorem.

90^2+90^2=c^2

8100+8100=16200

The square root of 16200 is 127.279220614

127.279220614~127.28

Answer:

2x + 3 =84

Step-by-step explanation:

Answer:

2x + 3 = 84

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A = 1.5386

Step-by-step explanation:

Quarter circle area formula:

A = (πr²)/4

A= (π1.4²)/4

A = (3.14*1.96)/4

A = (6.1544)/4

A = 1.5386

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

Answer:

To do this you need to add both sides by 8. yw

Step-by-step explanation:

Answer:

24.5

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

Answer:

(c).

Step-by-step explanation:

h(t) = - 16 t² + 80 t

Coordinates of the vertex are:

t = - [tex]\frac{80}{2(-16)}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 sec.

h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.

I don't know sorry but I recommend using quizlet

Answer:

7 is the answer

Step-by-step explanation:

Answer:

This equals 7

Step-by-step explanation:

I used a calculator

Can I have brainliest pls

Answer:

t = -1.54.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

H0:μ=54.5

This means that [tex]\mu = 54.5[/tex]

Your sample consists of 48 subjects, with a mean of 54.1 and standard deviation of 1.8.

This means, respectively, that [tex]n = 48, \mu = 54.1, \sigma = 1.8[/tex]

Test statistic

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{54.1 - 54.5}{\frac{1.8}{\sqrt{48}}}[/tex]

[tex]t = -1.54[/tex]

The test statistic is t = -1.54.