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salantis [7]
3 years ago
10

A crew of a highway workers paved 2/15 mile in 20 minutes if they work at the same rate what portion of a mile will they pave in

one hour. Need help please
Mathematics
2 answers:
Brut [27]3 years ago
5 0
<span>the answer will be
396763</span>
qwelly [4]3 years ago
5 0
I think it would be 6/15 mile because 20 minutes is 1/3 of an hour and so you multiply 2 * 3 to get 6/15
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A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio
guapka [62]
Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b)  distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x  (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.
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Step-by-step explanation:

d^2 + 16dm + 64 m^2  = (d + 8m)^2

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Answer:

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Step-by-step explanation:

180 degrees minus 83 degrees is 97 degrees

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One angle of an isosceles triangle measures 90°. Which other angles could be in that isosceles triangle? Choose all that apply.
bonufazy [111]

Answer:

45°

Step-by-step explanation:

(180-90)/2 = 90/2 = 45°

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