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jeka57 [31]
3 years ago
7

Triangle ABC is an acute triangle. Two sides measure 5 and 7. What is the range of possible values for its third side?

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

Answer:

the desired range is 2 < t < 12.

Step-by-step explanation:

If the third side is 12 (the sum of 5 and 7), we don't really have a triangle, since the 5-unit and 7-unit sides add up to 12 and lie on the third side (of length 12).

Since triangle ABC is acute, all its angles are between 0 and 90 degrees.  So the third side can be 12 but not greater.  The smallest possible length of the third side is 2, since 5 + 2 = 7.

Thus, the desired range is 2 < t < 12.

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vredina [299]

Answer:

Step-by-step explanation:

(6 gal)/(4/7 fence) = (21/2 gal)/fence = (10.5 gal)/fence

5 0
3 years ago
A lighthouse is located on an island 200 feet from the shore of the mainland as
Deffense [45]

Answer: Approximately d = 208.72

============================================================

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

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3 years ago
What is the zscore with a confidence level of 95% when finding the margin of error for the mean of a normally
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Answer:

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The computation of the z score with the confidence level of 95% is shown below:

While determining the margin of error for the normally distributed population from the sample, the z score of the confidence level of 95% is 1.96

The same is to be considered

Therefore the third option is correct

3 0
3 years ago
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The product of a number y and 3 is 6
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Answer:

y=2

Step-by-step explanation:

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Round to the nearest tenth: 6.932635<br> 6.9<br> 6<br> 6.8<br> 7
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6.932635
   ^ This is the tenths place.

Since the number after it is less than 5, we round down.

So we round to:

6.9
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