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Scorpion4ik [409]
3 years ago
5

6^2r=800 round it to the nearest hundreth

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Question: solve for r: 6 ^ (2r) = 800


Answer: 1.87


Step-by-step explanation:

6 ^ (2r) = 800

log(6 ^ (2r)) = log(800)

2r log(6) = log(800)

r = log(800) / (2 log(6))

r = 1.86537641979

round

r = 1.87

log can be any logarithm function.


6^(2×1.86) = 784.734328546

6^(2×1.87) = 813.365367336


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OK, our problem is

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Answer:

(a) AH < HC is No

(b) AH < AC is Yes

(c) △AHC ≅ △AHB is Yes

Step-by-step explanation:

Given

See attachment for triangle

Solving (a): AH < HC

Line AH divides the triangle into two equal right-angled triangles which are: ABH and ACH (both right-angled at H).

To get the lengths of AH and HC, we need to first determine the measure of angles HAC and ACH. The largest of those angles will determine the longest of AH and HC. Since the measure of the angles are unknown, then we can not say for sure that AH < HC because the possible relationship between both lines are: AH < HC, AH = HC and AH > HC

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