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Alona [7]
3 years ago
8

3x+8x+6=0. 9d+16=24d.

Mathematics
2 answers:
olga_2 [115]3 years ago
4 0
The first equation would have one solution. The second equation would have one solution as well. I did this by solving it even though it says not to solve it. Some people can do it mentally while others cannot.
Sonja [21]3 years ago
3 0
X=-6/11 and d=16/15 is your answers :)
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prove that sin theta cos theta = cot theta is not a trigonometric identity by producing a counterexample
Zolol [24]

Answer:

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Begin with the right hand side:

R.H.S = cot θ = \frac{cos \ \theta}{sin \ \theta}

L.H.S = sin θ cos θ

so, sin θ cos θ ≠ \frac{cos \ \theta}{sin \ \theta}

So, the equation is not a trigonometric identity.

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

<u>Anther solution:</u>

To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.

Assume θ with a value and substitute with it.

Let θ = 45°

So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2

R.H.S = cot θ = cot 45 = 1

So, L.H.S ≠ R.H.S

So, sin θ cos θ = cot θ is not a trigonometric identity.

5 0
3 years ago
The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
netineya [11]

THIS IS THE COMPLETE QUESTION BELOW;

The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation of 425 dollars and an unknown population mean. A random sample of 22 sociologists is taken and gives a sample mean of 1520 dollars.

Find the margin of error for the confidence interval for the population mean with a 98% confidence level.

z0.10 z0.05 z0.025 z0.01 z0.005

1.282 1.645 1.960 2.326 2.576

You may use a calculator or the common z values above. Round the final answer to two decimal places.

Answer

Margin error =210.8

Given:

standard deviation of 425

sample mean x=1520 dollars.

random sample n= 22

From the question We need to to calculate the margin of error for the confidence interval for the population mean .

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

4 0
3 years ago
There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t
Harrizon [31]
A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
A = lw\\&#10;A = (20x + 24)(36x - 20)\\&#10;A = (20x)(36x) + (20x)(-20) +  (24)(36x) + (24)(-20)\\&#10;A = 720x^{2} - 400x + 864x - 480\\&#10;A = 720x^{2} + 464x - 480

The expression for the area of the gift shop is 720x^{2} + 464x - 480.

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
P = 2(l+w)\\&#10;P = 2(20x + 24 + 36x - 20)\\&#10;P = 2(56x + 4) = 2(56x) + 2(4)\\&#10;P = 112x + 8

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
P = 112x + 8\\&#10;176 = 112x + 8\\&#10;112x =  168&#10;x = 1.5

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet 
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).
</span>
3 0
3 years ago
REPOST PLEASE HELP !!!!
Jlenok [28]

Answer:

-3*23

Step-by-step explanation:

6 0
3 years ago
Find 118% of 19 could really use some help late bloomer 
Zanzabum
Hello, 

<span>to find the percent of a number what we have to do is to multiply the number by de percent that we want to know and divide by 100, so:
</span>
19* \frac{118}{100} =22.42

Answer: 118% of 19 is 22.42
7 0
3 years ago
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