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Reil [10]
3 years ago
14

Which set of numbers can represent the side lengths, in inches, of an acute triangle?

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer:

B. 5, 7, 8

Step-by-step explanation:

When you take the sum of the squares of 5 and 7 they are greater than the square of 8.

5² + 7² = 8²       Simplify

25 + 49 = 64    Add

74 > 64

If this answer is correct, please make me Brainliest!

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Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth
katrin2010 [14]
When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / <span> <span> <span> 1,462
</span></span></span>cos (A) = 1,409 / 1,462
cos (A) = <span> <span> <span> 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
</span></span></span><span>sin(B) = sin(15.475) * 43 / 27
</span><span>sin(B) = 0.26682 * 43 / 27
sin (B) = </span><span>0.424935555555</span>
Angle B = 25.147 Degrees
Remember the arc sine (<span>0.424935555555) also equals </span> <span> <span> <span> 154.85

</span></span></span>Finally, calculating the third angle is quite easy
Angle C =  180 - Angle (A) - Angle(B)
Angle C =  180 - 15.475 - 154.85
Angle C =  9.675

Source:
http://www.1728.org/trigtut2.htm


6 0
3 years ago
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara
Nitella [24]

Answer:

26.25-7.50 = 18.75

18.75/6.25= 3

She golfed for 3 rounds

Step-by-step explanation:

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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The second option square root of 2^5
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The product of 8 and the difference of 3 and a number
Neko [114]

Answer:

<h3>3 More than the Product of 8 and a Number is 8n + 3.</h3>

Step-by-step explanation:

<h3>mark as brainliast</h3><h3>indian genius sarthak</h3>
3 0
3 years ago
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