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NNADVOKAT [17]
3 years ago
15

write the equation and find the values of x. round side lengths to the nearest tenth and angle measures to the nearest degree ​

Mathematics
1 answer:
Vlad1618 [11]3 years ago
3 0

Answer:

  • x = 44°

Step-by-step explanation:

<u>Equation</u>:

  • cos x = 15/21
  • cos x = 0.714
  • x = arccos 0.714
  • x = 44° (rounded to the nearest degree)
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Follow the process of completing the square to solve 2x2 + 8x - 12 = 0.
Rom4ik [11]
Please:  Use "^" to denote exponentiation:  <span>2x^2 + 8x - 12 = 0

Reduce this by div. every term by 2:             </span><span>x^2 + 4x - 6 = 0

Here a=1, b=4 and c = -6.  Square half of b, obtaining (4/2)^2 = 4, and add, and then subtract, this 4 to x^2 + 4x - 6:

</span> x^2 + 4x +4  - 4 - 6 = 0.  Rewrite the square as (x+2)^2, obtaining new equation

(x+2)^2 = 10.  Take the sqrt of both sides:   x+2 = plus or minus sqrt(10).

Finally, solve for x:  x = -2 plus or minus sqrt(10).



8 0
3 years ago
Which is a pair of equal expressions
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Answer:

C

Step-by-step explanation:

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3 years ago
A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi
inessss [21]

Answer:

\frac{1429}{120} or 11\frac{109}{120}

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

Remaining peaches = 4

We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = \frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7

Let x be the former gives the total number of peaches

We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.

x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)

x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)

x = \frac{1}{120}(40+30+24+15+840)

x = \frac{1}{120}(949)

x = \frac{949}{120}

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = \frac{949}{120}+4

Original number of peaches = \frac{949+4\times 120}{120}

Original number of peaches = \frac{949+480}{120}

Original number of peaches = \frac{1429}{120}

Original number of peaches = 11\frac{109}{120}

Therefore the original number of peaches in the basket is \frac{1429}{120} or 11\frac{109}{120}

5 0
3 years ago
What x value makes this equation true -12x - 2(x+9) = 5(x+4)
TiliK225 [7]

Answer:

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Step-by-step explanation:

8 0
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adelina 88 [10]

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

<h3>What is a population model?</h3>

A population model can be represented by the equation:

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Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

Find out more on population parameters at: brainly.com/question/2292917

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