Mathematics High School

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

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;

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Related Questions

n the diagram, which pair of angles are corresponding angles?

A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 8
Angle 4 and Angle 6
Angle 3 and Angle 7
Angle 2 and Angle 4

Answers

Answer:

3 rd one

Step-by-step explanation:

i am tot sure if it is but i think it is

IL GIVE BRAINLY IF YOU CAN HELP ME ON THESE 2

Answers

Answer:

THE answers to both questions are A

Step-by-step explanation:

Answer:

a for both

Step-by-step explanation:

just move point c on the graph where it tells u to. a translation only affects location

HELPP ME QUICK PLSSS I WILL HAVE A BREAKDOWN RN I NEED IT PLSS NOW I WOULD PUT YOU BRAINIEST PLSSS HELPP NOW What is the slope-intercept equation of the line below?

Answers

Answer:

Y=⅘X+2. the picture not clear so i hesitate

find the area of the shaded region, round to two decimals

Answers

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

side length a = 13.4841 in

inradius r = 14 in

circumradius R = 15.5388 in

area A = 660.72 in^2

perimeter P = 94.3886 in

interior angle x = 128.571 °

exterior angle y = 51.4286 °

To calculate the square from a diameter use this formula: q = √(2a^2) = a√2

side length a = 9.8994949366117 in

diagonal q = 14 in

perimeter P = 39.597979746447 in

area A = 98 in^2

A 17 foot long lodder is leaning against a house the base of the ladder is 9 feet from the house how high up the house does the ladder reach

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
2
= side21
1
2
+ side22
2
2

Let side1
1
= base and side2
2
= wall

172
2
= 82
2
+ wall2
2

wall = 172−82‾‾‾‾‾‾‾‾√
17
2
−
8
2

wall = 289−64‾‾‾‾‾‾‾‾‾√
289
−
64

wall = 225‾‾‾‾√
225

wall = 15 feet

>>>>>>>>>>15 feet

Find the area of the figure round to the nearest tenth

Answers

Answer:

Answer:

[tex](f+g)(x) = -x^2 + 10x[/tex]

Step-by-step explanation:

We are given these two following functions:

[tex]f(x) = -x^2 + 7x[/tex]

[tex]g(x) = 3x[/tex]

Sum of the functions:

To find the sum of the functions, we combine the like terms. So

[tex](f+g)(x) = f(x) + g(x) = -x^2 + 7x + 3x = -x^2 + (7+3)x = -x^2 + 10x[/tex]

Answer:

8.6 units

rounded would be just 9 ig?

Chuck left his house to ride his bike in a path like the right triangle
shown. How many total miles did Chuck ride his bike?

Answers

It would be 10 miles since we use Pythagorean Theorem

What is the first quartile of the data shown in the box plot

Answers

Answer:

55 to 70

Step-by-step explanation:

The first quartile is the left-most region of the graph, from 55 to 70. The second quartile stretches from 70 to 80.

As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In how many years will it have about 100
students? Write an equation. Then solve the equation without graphing.

Answers

Answer:

in 13.95 years the senior class will have 100 students.

Step-by-step explanation:

P(h) = p(0.92)^t (equation for exponential change)

P(h) - population of highschool (or senior class) = 100

p - staring amount = 320

t = time in years

100 = 320(0.92)^t

1/3.2 = .92^t (divide both sides by 320)

log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)

13.9497 = t

*WILL GIVE BRAIONLIEST FOR BEST ANSWER NO VIRUS LINKS OR I WILL REPORT* Given the data set, calculate the range and the mode:

{9, 3, 1, 8, 3, 6}

Question 8 options:

A, Range: 8, Mode: 3

B. Range: 3, Mode: 8

C, Range: 6, Mode: 3

D. Range: 8, Mode: 1

Answers

Answer:

the answer is A

Step-by-step explanation:

first, you would have to figure out the range, which would be 8 because to find the range, you have to get the larger number and the smaller number and subtract. So that answer would be 9-1=8 so range-1

To find the mode you will have to look at the list of numbers and see which one occurs that most and that would be the mode. Therefore, the range is 8, and the mode is 3.

Answer- range1, mode:3

HELP I WILL GIVE BRAINLIEST AND THANK AND 5 STAR!

Answers

Answer:

4. 2

Step-by-step explanation:

Subtitue the value of variable into the equation and simplify 2

Answer:

2 and 16/3 is the answer

Step-by-step explanation:

putting value of n in given expression

20-3.6

20-18

2 answer

putting value of n in given expression

(2/3).6+(2/3).2

4+(4/3)

(12+4)/3

16/3 answer

HELPPPPPPP!!!!!!!!!!!!!!

Answers

Answer:

the top and bottom ones

Step-by-step explanation:

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]

[tex]Paint = 90ft^2/qt[/tex]

See attachment for stage

Required

Determine the number of quarts needed

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

This is calculated as:

Area = Area of Rectangle1 + Area of Rectangle 2 + 2 * Area of each triangle on both sides.

For the first rectangle, we have:

[tex]A_1 =Length * Width[/tex]

[tex]A_1 = 15.2 * 19.5 =296.4[/tex]

For the second rectangle, we have:

[tex]A_2 =Length * Width[/tex]

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

For each triangle on both sides

[tex]A_3 = 0.5 * Base * Height[/tex]

[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]

The amount of paint need is:

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

From the question, we understand that:

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

Multiply both sides by 2

[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

The function h(t) = 162 +64t models the height, in feet, of a ball t seconds after it was kicked into the air. Which statement is true?
A. The ball reaches its maximum height 4 seconds after it was kicked.
O B. The ball reaches its maximum height 8 seconds after it was kicked.
O C. The ball takes 2 seconds to hit the ground.
D. The ball takes 4 seconds to hit the ground.

Answers

The answer is C hope this helpsss

To determine the amount of peanuts a bag will hold, Toby needs to find the
A: Area
B: Length
C: Perimeter
D: Volume

Answers

Answer:

D: Volume

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

Can someone please help me with this math question??

Answers

because the majority of the ppl who answered had 3 pets

HELPP PLZ WILL MARK BRAINLIEST AGAIN

Answers

Answer:

The fifth and fourth one

Step-by-step explanation:

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]

Sum of angles formed = 203° + [tex]59^{o}[/tex]

= [tex]262^{o}[/tex]

Given that one box = 1 full circle of 360°. Then,

the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]

= [tex]98^{o}[/tex]

Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].

If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]

= 2 [tex]\frac{9}{20}[/tex]

= 2.45

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

Can some one Pls help!!

What is 10% of 900? *

Answers

Answer:

Step-by-step explanation:

10%*900=90

Answer:

Step-by-step explanation:

10%*900=90

Complete the square to find the vertex of this parabola. Please help will mark brainliest!

Answers

The vertex is (4, -20)

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