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lina2011 [118]
3 years ago
13

Find the exact values of x and r

Mathematics
1 answer:
NemiM [27]3 years ago
3 0

Answer:

Below

Step-by-step explanation:

You can use sine law to solve this : sina / A = sinb / B

We will first find side x

We know that since this is a special triangle that side will = 28, but we can prove this mathematically :

sin(45) / 28 = sin(45) / x

= 28 sin(45) / sin(45)

x = 28

Now to find side r just use Pythagorean theorem a^2 + b^2 = c^2 :

c^2 = 28^2 + 28^2

      = 1568

Square root this number

r = 39.597

The just round to however your teacher wants

If you didn't already know about special triangles, an isosceles right triangle like this one has a ratio which is the two legs will equal each other, while the hypotenuse is √2a . You could have also used this to solve.

Hope this helps! Best of luck.  

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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 10 feet
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The length of the yard is 25ft.

In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.

2l + 2w = P

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6x + 20 + 2x = 60

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Now that we have a value for x, we can plug into the length equation and find the length.

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During a certain period of time, about 70 northern sea otters had an annual growth of 18%. Use an exponential function to find t
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2 years ago
On a measure of artistic abilities the mean for college students in New Zealand is 150 and a standard deviation is 25 give the Z
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The method for computing a z-score is  \bold{z = \frac{(x-\mu)}{\sigma}}, where x is the crude score, \bold{\mu} is the mean population, and \bold{\sigma} seems to be the <em><u>standard population difference.</u></em>

  • The Z value of x is a number \bold{\frac{(x - \text{mean(series))}}{\text{SD(series)}}} are defined where SD is the standard deviation.
  • Here, we consider series as scores of students of colleges in New Zealand for their artistic abilities.

\bold{\bar{x}=150}\\\\ \bold{\sigma=25}

following are the calculation of the Z scores:

\to \ (a)\  100:\  \text{Z score}=\frac{(100-150)}{25}= \frac{(-50)}{25} = -2\\\\\to \ (b)\  120:\  \text{Z score}=\frac{(120-150)}{25}= \frac{(-30)}{25} = -1.2\\\\\to \ (c)\  140:\  \text{Z score}=\frac{(140-150)}{25}= \frac{(-10)}{25} = -0.4\\\\\to \ (a)\  160:\  \text{Z score}=\frac{(160-150)}{25}= \frac{(10)}{25} = 0.4\\\\

Using formula:

\to \text{Raw score = Mean(series) +Z score} \times \text{SD(series)}

Calculating the Raw scores:

\text{(e) -1: Raw score= 150 +(-1)} \times 25 = 125 \\\\\text{(f) -0.8: Raw score= 150 +(-0.8)} \times 25 = 130\\\\\text{(e) -0.2: Raw score= 150 +(-0.2)} \times 25 = 145\\\\\text{(e) 1.38: Raw score= 150 +(1.38)} \times 25 = 184.5\\\\

Learn more:

brainly.com/question/12865701

3 0
3 years ago
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