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2 years ago

FOR 50 POINTS. HELP ASAP!!!! John is looking at the eagle on top of a building. The height of the building is 120 ft.

Mathematics

2 answers:

Licemer1 [7]2 years ago

8 0

Answer:

A. 70 ft

Step-by-step explanation:

Use trigonometry.

tangent = opposite / adjacent

We have:

opposite = 120 ft
angle = 60°
adjacent = x

Solve for x:

tan 60° = 120/x
x = 120 /tan 60°
x ≈ 70 ft

zvonat [6]2 years ago

5 0

Answer:

B I THINK

Step-by-step explanation:

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Two forces with magnitudes 300 pounds and 450 pounds, with an angle of 60° between them, act upon an object. What is the approxi

kifflom [539]

Answer:

653.84 lbs.

Step-by-step explanation:

To make the computation simple, assume the 450 lb force acts along the x axis in the positive direction.

The x component of the 300 lb force is 300cos(60)=150 lbs.

The y component of the 300 lb force is 300sin(60)= $300*\frac{\sqrt{3} }{2} =259.81\\$ lbs.

The x component of the total force is the sum of the x components of the two forces.

Fx=150+450=600

Fy=259.81

The net force is obtained using the Pythagorean theorem, since the two force components are perpindicular.

F=Sqrt(Fx^2+Fy^2)=Sqrt(360000+67501.24)=Sqrt(427501)=653.84 lbs.

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3 years ago

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National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smoke

NeTakaya

Answer:

98% C.I. = [-0.1270, 0.0994]

Step-by-step explanation:

Here

p1= proportion of men smokers

p1= 45/175= 0.2571

p2= proportion of women smokers

p2= 42/155= 0.2709

1) Choose the significance level ∝= 0.02

2) The formula for confidence interval is

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

and

(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

3) The z value is 2.05

4) Calculations:

(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=-0.1270 ( using calculator)

And

(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))

Putting the values

= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)

=0.0994 ( using calculator)

and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)

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First two are scalene last one is isosceles.

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Answer:

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Step-by-step explanation:

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3 years ago

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