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astraxan [27]
3 years ago
14

%20to%20the%20nearest%2010th%2C%20what%20is%20b" id="TexFormula1" title="in triangle ABC, AB=7, BC=10, and the measure of angle B=80, to the nearest 10th, what is b" alt="in triangle ABC, AB=7, BC=10, and the measure of angle B=80, to the nearest 10th, what is b" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

b = 11.0

Step-by-step explanation:

From the given properties of the triangle,

b = AC

Applying the cosine rule, we have;

b^{2} = a^{2} + c^{2} - 2acCos B

   = 10^{2} + 7^{2} - 2(10 x 7) Cos 80

   = 100 + 49 - 140 x 0.17365

   = 149 - 24.311

   = 124.689

b = \sqrt{124.689}

  = 11.1664

b = 11.0

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4 years ago
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Ira Lisetskai [31]

Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.

3 0
3 years ago
Please help me solve the expression for “n”
Bingel [31]

Answer:

  n = 2

Step-by-step explanation:

In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:

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___

Alternatively, you can simplify the given expression:

  \dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}

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