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stealth61 [152]
3 years ago
7

Highschool level trigonometry!!! Need help knowing step by step how to find answer!

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

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Which decimal is between 0.6 and 0.7
kondor19780726 [428]

Answer:

You can recognize that .25 is 1/4, so 0.625 is 1/4 of the way  

from 0.6 to 0.7


4 0
3 years ago
Read 2 more answers
5. Rounded to three decimal places, what is the value of r for this data set?
IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

  • x: 8  15  3  7  2  14
  • y: 15  21  6  12  3  20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>
  • ∑x = 49
  • Mean = 8.167
  • ∑(X - Mx)2 = SSx = 146.833

<h3>Y Values </h3>
  • ∑y = 77
  • Mean = 12.833
  • ∑(Y - My)2 = SSy = 266.833

<h3>X and Y Combined </h3>
  • N = 6
  • ∑(X - Mx)(Y - My) = 194.167

The correlation coefficient (r) is then calculated as:

r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}

This gives

r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\

r = 0.9809

Approximate

r = 0.981

Hence, the value of correlation coefficient (r) for the dataset is 0.981

Read more about correlation coefficient at:

brainly.com/question/4219149

3 0
2 years ago
Jordan bought 9/16 of a proud of sunflower seeds and divided and them evenly into 9 snack bags for his lunch. What is the weight
stepladder [879]

Answer:

The weight of sunflower seeds in each snack bag is 1/16 of a pound

Step-by-step explanation:

Here, we want to know the weight of sunflower seeds in each snack bag.

The total weight bought is 9/16 pound and the division is into 9 bags

So the weight of the individual bags will be ;

9/16 divided by 9

= 9/16 * 1/9 = 1/16

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=3%5En%5E%2B%5E1%2B9%2F3%5En%5E-%5E1%2B1" id="TexFormula1" title="3^n^+^1+9/3^n^-^1+1" alt="3^n
abruzzese [7]

Answer:

Hello,

Step-by-step explanation:

\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\

4 0
2 years ago
Sarah can take no more than 22 pounds and I like the trap her suitcase weighs 112 ounces how many more pounds can she park witho
Leya [2.2K]

Answer:

15 pounds

Step-by-step explanation:

there are 16 ounces in one pound

so...

first find the limit in ounces

22  =  \frac{x}{16}

because there are 16 ounces in every one pound you need to multiply 22 by 16

which is 352

now subtract what you already used

352 - 112

which is 240

now convert to pounds

x =  \frac{240}{16}

which is 15

so 15 more pounds

3 0
3 years ago
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