MATHEMATICS MIDDLE SCHOOL

I need help, I have tried looking it up but can’t find any help

Answers

Answer 1

Answer:

Answer: $(sin (4x))/(cos(14 x))$

Step-by-step explanation:

We have the following expression:

$(tan(9x)-tan(5x))/(1+tan(9x)tan(5x))$

In order to work in a better way this expression, let's call $\alpha=9x$ and $\beta=5x$ and rewrite:

$(tan(\alpha)-tan(\beta))/(1+tan(\alpha)tan(\beta))$

Now, we know $tan \theta=(sin \theta)/(cos \theta)$ . Let's apply it here:

$((sin (\alpha))/(cos(\alpha))-(sin(\beta))/(cos(\beta)))/(1+(sin (\alpha))/(cos(\alpha))(sin(\beta))/(cos(\beta)))$

$((sin(\alpha)cos (\beta)-sin(\beta)cos(\alpha))/(cos(\alpha)cos(\beta)))/((cos(\alpha) cos(\beta)+sin(\alpha) sin(\beta))/(cos(\alpha)cos(\beta)))$

Simplifying:

$(sin(\alpha)cos (\beta)-sin(\beta)cos(\alpha))/(cos(\alpha) cos(\beta)+sin(\alpha) sin(\beta))$

According these trigonometric identities, we have:

$sin(\alpha-\beta)=sin(\alpha)cos (\beta)-sin(\beta)cos(\alpha)$

$cos(\alpha+\beta)=cos(\alpha) cos(\beta)+sin(\alpha) sin(\beta))$

Then:

$(sin(\alpha-\beta))/(cos(\alpha+\beta))$

Writing again the actual values:

$(sin(9x-5x))/(cos(9x+5x))$

Finally:

$(sin(4x))/(cos(14x))$

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Questions 12-15, I have already done 12 & 13

Answers

so i am just writing to say hi,don"t know the answer though sorry

What is the equation 16 × 2

Answers

$16 * 2 = 32$

The equation is 16 * 2 = 32

Here's a story problem...."Rita's wants to estimate the number of beans in a large jar. She takes out 100. she takes out
100 beans and marks them.

Then she returns them to the jar and mixes them with the unmarked beans. She then gathers some data by taking a sample of beans from the jar. Use her data to predict the number of beans in the jar.

Answers

Where is the data? Show a picture if you could.

Answer:

Step-by-step explanation:

1. 16/ 2

2. 4*8=32

3. 32+32=64

4. 64-2=62

Y= 16x + 2.50

How long was a million days ago in hours?

Answers

There are 24 million hours in one million days

The number of hours in a day is :

1 day = 24 hours

Number of hours in a million days would be :

1 million days * 24 hours

1000000 * 24 = 24000000

Hence, there are 24 million hours in one million days

Learn more on expressions : brainly.com/question/24304697

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1 day has 24 hours

than 1 million days have 24 millions hours

An arch at a new amusement park is constructed with two vertical walls and parabolic arch top, where X represents the horizontal distance in feet and f(x) represents the height in feet. The y-axis represents the vertical left edge of the arch. Since the arch and it’s base are symmetrical, complete the equation for the line containing the vertical, right edge of the arch.

X=

Answers

The equation for the line containing the vertical right edge of the arch is x = 60.

How can we find the equation of the line representing the right edge?

The line representing the right edge is the line passing through the parabola on the right side at y = 20.

We can find the equation of the line as follows:

It is given that the left edge of the arch is the y-axis.

The parabola and the vertical base are symmetrical.

We can see that the left edge begins (0, 20). This means that the right edge would also have y = 20.

Observe the given graph. We can see that the parabola passes y = 20 again at the point (60, 20).

This means that the equation of the line representing the right edge is x = 60.

Therefore, we have found the equation for the line containing the vertical right edge of the arch to be x = 60.

Learn more about parabolas here: brainly.com/question/4148030

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Answer:

The answer is x=60.

Since the arch and its base are symmetrical, so that other side of arch should be at (x, 20). Refer to x-axis when y is equal to 20. Thus, x=60.

I just took the test and the answer is correct.

Step-by-step explanation:

Closes benchmark for 99

Answers

It is most likely to be 100 bc its older and its closest to 99

The answer is 100 because 99 is exremely close to 100

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