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anygoal [31]
3 years ago
11

Triangle abc is such that ab=4 and ac=8 if m is the midpoint of bc and am=3, what is the length of bc?

Mathematics
1 answer:
zavuch27 [327]3 years ago
4 0
This is an interesting question. I chose to tackle it using the Law of Cosines.
  AC² = AB² + BC² - 2·AB·BC·cos(B)
  AM² = AB² + MB² - 2·AB·MB·cos(B)
Subtracting twice the second equation from the first, we have
  AC² - 2·AM² = -AB² + BC² - 2·MB²

We know that MB = BC/2. When we substitute the given information, we have
  8² - 2·3² = -4² + BC² - BC²/2
  124 = BC² . . . . . . . . . . . . . . . . . . add 16, multiply by 2
  2√31 = BC ≈ 11.1355

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Find the value of x.​
pishuonlain [190]

Step-by-step explanation:

Here we can see it is a quadrilateral so

x + 108° + 65° + 53° = 360° ( being sum of angles of quadrilateral)

226° + x =360°

x = 360° - 226°

Therefore x = 134°

6 0
3 years ago
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Which of the following shows the polynomial below written in descending<br> order?
Vladimir79 [104]

Answer:

A. 4x¹² + 9x⁷ + 3x³ -x

Step-by-step explanation:

Hi!

<em>==================================================================</em>

To write a polynomial in descending order, we write the terms with higher degrees, or exponents, first.

3x³ + 9x⁷ -x + 4x¹²

4x¹² has the highest degree, so it is written as the first term.

⇒4x¹²

9x⁷ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷

3x³ has the next highest degree, so it is written next.

⇒4x¹² + 9x⁷ + 3x³

-x has the lowest degree, so it is written last.

⇒4x¹² + 9x⁷ + 3x³ -x

<u>4x¹² + 9x⁷ + 3x³ -x</u>

<em>==================================================================</em>

<em>Hope I Helped, Feel free to ask any questions to clarify :)</em>

<em>Have a great day!</em>

<em>        -Aadi x</em>

8 0
3 years ago
What is x-x? <br> Anyone who answers that in 7 minutes will be given marks
Westkost [7]

Answer:

0

Step-by-step explanation:

x and x are same terms.

7 0
2 years ago
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Help me plz whoever helps me thank you
musickatia [10]

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b

Step-by-step explanation:

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 419 gram setting. It is
Dahasolnce [82]

Answer:

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given the mean of the Population(μ)  = 419 grams

The sample size 'n' =19

Given mean of the sample x⁻ = 412

Given variance of the sample S² = 784

                                                 S = √784 = 28

<u><em>Step(ii)</em></u>:-

<u><em>Null hypothesis: H₀</em></u>: There is no sufficient evidence to support the claim that the bags are underfilled.

<u><em>Alternative hypothesis: H₁:</em></u>

There is sufficient evidence to support the claim that the bags are underfilled.

Test statistic

                     t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }

                    t = \frac{412 -419}{\frac{28}{\sqrt{19} } }

                   t = -1.09

                 |t| = |-1.09|

<em>Degrees of freedom   ν = n-1 = 19-1 =18</em>

<em>t₀.₀₂₅ =  3.19</em>

<u><em>Final answer:</em></u><em>-</em>

The calculated t- value = 1.09 > 3.19 at 0.025 level of significance

Null hypothesis is rejected

There is sufficient evidence to support the claim that the bags are underfilled

                   

8 0
3 years ago
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