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Andru [333]
3 years ago
13

Round off to nearnest thousand 5,486 + 8,602

Mathematics
2 answers:
Korolek [52]3 years ago
6 0
5,486 + 8,602 is equal to around 14,000
Mars2501 [29]3 years ago
5 0
5,486 plus 8,602 is equal to around 14,000, give or take.
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A forest ranger in a 110 ft observation tower sees a fire. The angle of depression is 12 degrees. To the nearest foot, what is t
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The distance from the tower to the fire is 529.10feet

<h3>Angle of depression</h3>

The distance from the tower to the fire is the hypotenuse of the resulting triangle

Given the following

  • Height of the tower = 110ft

Using the SOH CAH TOA identity

sin theta = opp/hyp

sin 12 = 110/H

H = 110/sin12

H = 110/0.2079

H = 529.10

Hence the distance from the tower to the fire is 529.10feet

Learn more on SOH CAH TOA here: brainly.com/question/20734777

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So range of test 1 = 90 - 50 = 40

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3 years ago
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Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and ang
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Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc EH

Remember that the measure of the complete circle is equal to 360 degrees

so

arc\ EH+arc\ EF+arc\ FG+arc\ GH=360^o

Remember that

arc\ EF=m\angle EDF ----> by central angle

arc\ FG=m\angle FDG ----> by central angle

arc\ GH=m\angle GDH ---> by central angle

substitute the given values

arc\ EH+55^o+70^o+110^o=360^o

arc\ EH=360^o-235^o=125^o

step 2

Which arc is congruent to Arc E H?

we know that

arc\ EFG=arc\ EF+arc\ FG=55^o+70^o=125^o

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arc EH is congruent with minor arc GE

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The answer is -31 over 12.
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