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
(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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Related Questions
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
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:
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
I need help and fast
Answers
B it is B not c or a it is b
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
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
Complete the square to find the vertex of this parabola. Please help will mark brainliest!
Answers
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
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 distance from Point A to Point B The distance is __ units (round to the nearest tenth if needed)
Answers
Answer:
8.6 units
rounded would be just 9 ig?
HELP I WILL GIVE BRAINLIEST AND THANK AND 5 STAR!
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Answer:
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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:
4.
putting value of n in given expression
20-3.6
20-18
2 answer
5.
putting value of n in given expression
(2/3).6+(2/3).2
4+(4/3)
(12+4)/3
16/3 answer
Can some one Pls help!!
What is 10% of 900? *
Answers
Answer:
90
Step-by-step explanation:
10%*900=90
Answer:
90
Step-by-step explanation:
10%*900=90
Find the area of the figure round to the nearest tenth
Answers
Answer:
72.0
Step-by-step explanation:
another one, surprise, surprise- 14 points :)
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I uplоadеd the answеr to a filе hоsting. Herе's link:
bit․ly/3t54Tdn
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.
Chuck left his house to ride his bike in a path like the right triangle
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Answers
n the diagram, which pair of angles are corresponding angles?
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Angle 3 and Angle 7
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
guy above is correct
The formula that is used for calculating a parametric equation when converting from rectangular to parametric is y=f(x)
What is a Parametric Equation?This refers to the type of equation that is used to show an independent variable called a parameter, usually with the number 1.
Please note that your question is incomplete so I gave you a general overview to give you a better understanding of the concept.
Read more about parametric equations here:
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Answers
Answer:
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Step-by-step explanation:
Answer:
a for both
Step-by-step explanation:
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Answers
Answer:
1st statement is true
Step-by-step explanation:
The 1st statement is true since .25 is 25/100
The 2nd statement is false since 20 / 10 = 2 not .20 which is 2/10
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Factor this trinomial completely.
15x2 + 11x- 12
O A. (x+3)(15x – 4)
O B. (x + 4)(15x – 3)
O C. (3x + 4)(5x - 3)
O D. (3x + 3)(5x - 4)
Answers
Answer:
(5x-3)(3x+4)
Step-by-step explanation:
I hope this helps
*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
Can someone please help me with this math question??
Answers
Help!! What is the reduced and simplified value of the expression given below?
Answers
Answer:
Your answer will be 8
Step-by-step explanation:
Hope it helps u. ..
Answer:
8
is the correct answer of this question
hope it helps and your day will be full of happiness
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Answer:
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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.
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Answer:
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7. -34
8. 68
9. 8
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
What is (f+g)(x)? f(x)= – x2+7x g(x)=3x Write your answer as a polynomial or a rational function in simplest form.
Answers
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]
[tex]-x^2 + 10x[/tex] is the answer
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Answers
Answer:
c.
Step-by-step explanation: