Find the GCF of 260,80,50

In order to safely land, the angle that a plane approaches the runway should be no more than 15°. A plane is approaching Ottawa

belka [17]

9514 1404 393

Answer:

9.5°, yes

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

The distance opposite the angle of elevation is the plane's height, 500 m. The distance adjacent to the angle of elevation is the horizontal distance to the plane, 3 km = 3000 m. Then the angle is found from ...

tan(α) = 500/3000 = 1/6

α = arctan(1/6) ≈ 9.46°

The plane is approaching at an angle of 9.46°. It is safe to land, since that angle is less than 15°.

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<em>Additional comment</em>

The usual descent angle for most commercial air traffic is 3°. Some airport geography demands it be different (steeper). A higher descent angle can put undue stress on the landing gear.

5 0

3 years ago

A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

8 0

3 years ago

The number of hours you study for an exam affects your grade. What is a reasonable value of the range?

Gwar [14]

Answer:

C

Step-by-step explanation:

The range is the grade. Domain is the amount of hours that you study for.

8 0

2 years ago

Read 2 more answers

Which operation is NOT closed for polynomials?

MAXImum [283]

Answer:

Option D

Step-by-step explanation:

When you add, multiply or subtract polynomials, the operation results in another polynomial.

When dividing polynomials, the operation may not result in another polynomial. In this case you normally end up with rational expression in the fraction form.

This operation is said not closed.

In our case this is option D.

4 0

2 years ago

Read 2 more answers

Can someone answer this question please I need it right now

Lady bird [3.3K]

Answer: Choice B) -5.2 degrees

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Work Shown:

Add up the given temperatures

-42 + (-17) + 14 + (-4) + 23 = -26

Then divide by 5 since there are 5 values we're given

-26/5 = -5.2

6 0

3 years ago