An air traffic controller is tracking two planes. To start, Plane A was at an altitude of 1300 meters, and Plane B was at an altitude of 1092 meters. Plane A is gaining altitude at 17 meters per second, and Plane B is gaining altitude at 21 meters per second. Let x be the number of seconds passed

An Air Traffic Controller Is Tracking Two Planes. To Start, Plane A Was At An Altitude Of 1300 Meters,

Answers

Answer 1

(A) The expression for each plane are as follows;

Plane A; 1300 + 17x

Plane B; 1092 + 21x

B). The equation to show when the two planes would be at the same altitude is; 1300 + 17x = 1092 + 21x.

Which equation shows when the two planes would be at the same altitude?

It follows from the task content that the initial altitudes of plane A and B are 1300 and 1092 respectively.

Since plane A gains altitude at 17 meters per second; The expression for the altitude after x seconds is;

1300 + 17x

Also, since plane B gains altitude at 21 meters per second; The expression for the altitude after x seconds is;

1092 + 21x

Ultimately, at the point when the two planes are at the same altitude; the equation which is true about the situation is;

1300 + 17x = 1092 + 21x.

Read more on linear equations and expressions;

https://brainly.com/question/29270827

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To determine the amount of peanuts a bag will hold, Toby needs to find the
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find the area of the shaded region, round to two decimals​

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Answer:

A = 660.72 in^2 - A = 98 in^2 = 562.7 in^2

Step-by-step explanation:

Formula for a seven sided polygon/heptagon is:

A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n

n n = 7 sides

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interior angle x = 128.571 °

exterior angle y = 51.4286 °

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12 O 44 Madeline, Tyra, and Imogen are helping consolidate leftover pizza slices after a party. Each one of them has a box with leftovers. Madeline says the leftover slices in her box form a 203° angle . Tyra says the leftover slices in her box form a 59 After hearing those descriptions from Madeline and Tyra, Imogen wonders if the leftover slices would all fit into one box (meaning one full circle of 360° or less). It is possible if the angle measure of her leftover slices is no larger than [Drop Down 1]. If each slice has an angle of 40 the maximum amount of slices Imogen can fit is [Drop Down 2]. 1 mron Down 11​

Answers

Answer:

i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]

ii. The maximum number of slices that Imogen can fit is 2.

Step-by-step explanation:

The leftover in Madeline's box forms angle = 203°

The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]

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Answers

Answer:

the answer is A

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Answers

Answer:

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Answer:

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Answers

Given: ladder = 17 m and base = 8 m

The ladder forms a right triangle with the base of 8 m, the wall will be 15 m and the ladder (hypotenuse) is 17 m.

Let’s say you did not know that this was a standard 8–15–17 right triangle.

This is how you can figure it out:

hypotenuse(h)2
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1
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2

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2
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172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
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2

8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
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A movable section of stage has the shape of an isosceles right triangle. You need to apply 2 coats of paint to all but the bottom. The paint covers approximately 90 square feet per quart. How many quarts of paint do you need to buy? You need to buy quarts of paint.

Answers

Answer:

You need to buy 3 quarts of paint.

Step-by-step explanation:

Given

[tex]Coats =2[/tex]

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See attachment for stage

Required

Determine the number of quarts needed

First, we calculate the surface area of the stage (without the base).

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For the second rectangle, we have:

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[tex]A_2 = 6* 19.5 = 117[/tex]

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[tex]A_3 = 0.5 * 14 * 6 = 42[/tex]

So, the total area is:

[tex]Area = A_1 + A_2 + 2 *A_3[/tex]

[tex]Area = 296.4 + 117+ 2 *42[/tex]

[tex]Area = 497.4ft^2[/tex]

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[tex]Amount = \frac{Area}{2\ coats}[/tex]

From the question, we understand that:

[tex]1\ coat =90ft^2/quart[/tex]

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[tex]2 * 1\ coat =90ft^2/quart * 2[/tex]

[tex]2 \ coats =180ft^2/quart[/tex]

So, we have:

[tex]Amount = \frac{Area}{2\ coats}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2/quart}[/tex]

[tex]Amount = \frac{497.4ft^2}{180ft^2}quart[/tex]

[tex]Amount = \frac{497.4}{180}quart[/tex]

[tex]Amount = 2.763\ quarts[/tex]

[tex]Amount \approx 3\ quarts[/tex] --- approximated

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c.

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Answers

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