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Aloiza [94]
4 years ago
14

a forest ranger in a 120ft observation tower sees a fire. The angle of depression to the fire is 10 What is the horizontal dista

nce between the tower and the fire
Mathematics
1 answer:
ANTONII [103]4 years ago
4 0
Tangent (10) = 120 / distance
distance = 120 / tangent (10)
distance = 120 / .17633
<span><span><span>distance = 680.5</span> feet

</span> </span>

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The MD orders 50mg of an elixir to be given every 12 hours. Available is 125mg/5ml. How much should be administered every 12 hou
Jet001 [13]
FORMULA

D ( desired dose) x V ( vehicle- tablet or liquid)

H ( dose on hand)

D = Dose ordered

H = dose on hand or dose on container label

V = form and amount in which drug comes ( tablet, capsule, liquid)

D= 50mg H= 125mg V= 5ml

50 x 5

125

250 divided by 125 = 2ml

So, 2ml of elixir is administered every 12 hours :) brainliest pls
4 0
3 years ago
Read 2 more answers
Which is the solution to the equation 8.25 + one-fourth w = 10.75? Round to the nearest hundredth if necessary.
bearhunter [10]

Answer:

w=10

Step-by-step explanation:

8.25+1/4w=10.75

8.25+0.25w=10.75

0.25w=10.75-8.25

0.25w=2.5

w=10

I hope this helps

6 0
3 years ago
Please help asap!!!! thanks
enot [183]

Answer:

7.1/10

8.1/5

9.1/5

Step-by-step explanation:

7.1/2*1/5

8.2/5*1/2

9.2/5*1/2

8 0
3 years ago
Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).
Minchanka [31]

Answer:

<h2>cos (α + β) = 0.9196</h2>

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

5 0
3 years ago
a rectangle has horizontal sides of 3 (x-2)ft and vertical sides of 4x-7+(-2x) ft finde the value of x so that the rectangle has
Lynna [10]

Based on the given horizontal and vertical sides of a rectangle and its perimeter, the value of x in the expression is 6

<h3>Perimeter of rectangle</h3>

Perimeter of rectangle = 2(length + width)

  • Perimeter of the rectangle = 34 ft

  • Length of the rectangle = 3(x - 2) ft

= 3x - 6

  • Width of the rectangle = 4x - 7 + (-2x)

= 4x - 7 - 2x

= 2x - 7

Perimeter of rectangle = 2(length + width)

34 = 2{(3x - 6) + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Learn more about perimeter of rectangle:

brainly.com/question/24571594

#SPJ1

5 0
2 years ago
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