<h3>
Answer: B) 43, 133, 89</h3>
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Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is <u>not</u> larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
If any of those three are false, then we cannot make a triangle with side lengths p,q,r
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Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
- p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.
- p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.
- q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.
All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
Answer:
wu
Step-by-step explanation:
kwjsisiisisisiskskdjdjdjdjdkkdjdjejejwj
Christopher's distance from his starting point is 3.6 km
Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point, His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.
Since we have both the opposite and adjacent sides of a right-angled triangle,
From trigonometric ratios,
tanФ = opposite/adjacent
tanФ = x/5 km
Now Ф = 036º
So, tan36º = x/5km
x = 5 km(tan36º)
x = 5 km (0.7265)
x = 3.633 km
x ≅ 3.6 km to 1 decimal place.
So, Christopher's distance from his starting point is 3.6 km.
Learn more about bearing here:
brainly.com/question/11684993
Answer:
I geuss we'll neva know
*cues music*
Step-by-step explanation:
Answer:
1/2ft
Step-by-step explanation:
15/28=(5/7)(1 1/2)(w)
15/28=(5/7)(3/2)w
15/28=(15/14)w
(15/28)/(15/14)=w
(15/28)*(14/15)=w
w=14/28
w=1/2 ft
