An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet per minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be?

Answers

Answer 1

Answer:

7 minutes

Step-by-step explanation:

From the question :

Descent = ascent

Initial height * descent rate = initial position * ascent rate

Plane on ground is at an initial position or height of 0

42000 - 3300t = 0 + 2700t

Where, t = time

-3300t - 2700t = 0 - 42000

-6000t = - 42000

t = 42000 / 6000

t = 7 minutes


Related Questions

Please helppp What's the slope and y intercept of 3x - y = 7

Answers

Answer:

slope: 3

y intercept:(0,-7)

Use the GCF and distributive property to write an equivalent expression.

Answers

Answer:

2

6

9

Step-by-step explanation:

Because if you pay attention to our teacher he told us how to respond it!

What does the y-intercept of the graph represent?

Answers

the answer is dark blue. its the amount of grams the material is losing. because of the decreasing number throughout the years. if the number was going up then it would be cyan but since it’s decreasing, its dark blue. hope this helps!

A rectangular pool has an area of 50 square feet. What are the lengths of its sides? There is more than one possible answer. Draw a picture of the possible answers.

Answers

Answer:

10*5 or 25*2

Step-by-step explanation:

There are other answers but those involve decimals and I'm assuming they want whole numbers.

The sale price for a jacket that regularly costs $85.00 is now $68.00. With sales tax, a customer pays $73.44. Which THREE statements are correct for this situation?

Answers

Answer:

The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Step-by-step explanation:

Here are the options to this question :

A) The sales tax rate is 6%

B) The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Sales tax rate = (tax paid / discounted selling price) x 100

tax paid = amount customer paid - discounted selling price

$73.44 - $68 = $5.44

($5.44 / $68) x 100 = 8%

The sales tax is 8%

Sales price = (discount / initial price) x 100

discount = $85 - $68 = $17

($17 / 85) x 100 = 20%

Answer:

B.) The Sales Tax Rate is 8%

C.) 85-68/85 = discount rate

E.) The Sale Price is 20% less than the regular price.

Step-by-step explanation:

i did the usatestprep :)

In the diagram, mBDA = 150°. Find mBDC.

Answers

Answer:

a.  70°

Step-by-step explanation:

m∠BDC + m∠CDA = m∠BDA

-3x + 34 - 2x + 56 = 150

-5x + 90 = 150

-5x = 60

x = -12

m∠BDC = -3x + 34 = -3(-12) + 34

              = 36 + 34 = 70°

Catherine Destivelle was the first woman rock climber to complete a solo ascent in 1992. She is helping to design an inside rock-climbing wall on which other climbers can practice. She draws the figure
below on the coordinate grid to represent part of the wall. Each square represents one foot

Answers

Answer:

count the unit squares

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Vince is saving for a new mobile phone. The least expensive model Vince likes costs $225.90. Vince has saved $122.35. He used this solution to determine how much more he needs to save.

225.90 less-than-or-equal-to 122.35 + a. 225.90 minus 122.35 less-than-or-equal-to 122.35 minus 122.35 + a. 103.55 less-than-or-equal-to a.

Vince says that based on the solution, he should save a maximum of $103.55.

Is Vince correct?
Vince is correct because he found the correct solution to the inequality.
Vince is correct because he should save at least $103.55.
Vince is not correct because he wrote the wrong inequality to represent the situation.
Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Answers

Answer:

Vince is not correct because he should have interpreted the solution as having to save a minimum of $103.55.

Step-by-step explanation:my

my sister which is in college helped me with one.

Answer: its D

Step-by-step explanation:

add the following fraction give me the answer in lowest terms and mixed numbers if necessary. 10/12 +1/2 =

Answers

Answer:

[tex]1\frac{1}{3}[/tex]

Step-by-step explanation:

PLEASE HELP FIRST ONE TO GET IT RIGHT GETS brainiest :oooo

Answers

A. x and y are both within the same solar system.

7.2 light years= 455336 AU

Solve for x and y
7x - 3y = 4 and -10x + 3y = 2

A. x = -2, y = -6
B. x = 6, y = -2
C. x = 2, y = -6
D. x = 6, y = 2

Answers

You can use elimination
7x - 3y = 4
-10x + 3y = 2
Add both equations
-3x = 6, x = -2
Plug in -2 for x in one equation
7(-2) - 3y = 4
-14 - 3y = 4
-3y = 18, y = -6
Solution: x = -2, y = -6

The Bungling Brothers Circus is in town and you are part of the crew that

is setting up its enormous tent. The center pole that holds up the tent

is 70 feet tall. To keep it upright, a support cable needs to be attached to

the top of the pole so that the cable forms a 60° angle with the ground.


a) How long is the cable?


b) How far from the pole should the cable be attached to the ground?

Answers

Answer:

a. 80.83 ft b. 40.42 ft

Step-by-step explanation:

Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.

a) How long is the cable?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,

sinФ = h/L

L = h/sinФ

L = 70 ft/sin60°

L = 70 ft/0.8660

L = 80.83 ft

b) How far from the pole should the cable be attached to the ground?

Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,

tanФ = h/x

x = h/tanФ

x = 70 ft/tan60°

x = 70 ft/1.7321

x = 40.42 ft

The length of the cable is 80.83 ft and the distance from the pole should the cable be attached to the ground is 40.42 ft and this can be determined by using the trigonometric function.

Given :

The Bungling Brothers Circus is in town and you are part of the crew that  is setting up its enormous tent. The center pole that holds up the tent  is 70 feet tall. To keep it upright, a support cable needs to be attached to  the top of the pole so that the cable forms a 60° angle with the ground.

a) The trigonometric function can be used in order to determine the length of the cable.

[tex]\rm sin\theta=\dfrac{h }{L}[/tex]

where h is the height of the pole, L is the length of the pole, and [tex]\theta[/tex] is the angle from the ground.

Substitute the known terms in the above expression.

[tex]\rm L=\dfrac{h }{sin\theta}[/tex]

[tex]\rm L = \dfrac{70}{sin60}[/tex]

L = 80.83 ft.

b) The trigonometric function can be used in order to determine the distance from the pole should the cable be attached to the ground.

[tex]\rm tan \alpha =\dfrac{h}{x}[/tex]

where x is the distance between pole and cable.

Substitute the known terms in the above expression.

[tex]\rm x = \dfrac{70}{tan 60 }[/tex]

x = 40.42 ft.

For more information, refer to the link given below:

https://brainly.com/question/21286835

You have 1/8 gallon of melted crayon wax. You pour the wax equally into 8 different molds to make new crayons. What fraction of a cup of melted wax is in each mold? Think: 1 gallon is 16 cups.

PLS HELP

Answers

Answer:

2 cups

Step-by-step explanation:

16/8=2 so it is 2 cups

If arc QT = (27x + 3) arc RT = (9x – 5) and RST = (102 – 2) find arc RT.

Answers

Answer:

Step-by-step explanation:

x = 6

arc RT = 49°

What is tangent?

"It is a line that intersects the circle exactly at one point."

What is secant?

"It is a line that intersects circle at two points."

For given example,

arc QT = (27x + 3)°

arc RT = (9x – 5)°  

∠RST = (10x – 2)°

From figure we can observe that line ST is tangent and line SQ is secant.

∠RST is the angle subtended by tangent ST and secant SQ

We know, the angle subtended by the tangent and the secant is half the difference of the measures of the intercepted arcs.

⇒ ∠RST = (QT - RT)/2

⇒ 10x - 2 = [(27x + 3) - (9x - 5)] /2

⇒ 2(10x - 2) = 27x + 3 - 9x + 5

⇒ 20x - 4 = 18x + 8

⇒ 20x - 18x = 8 + 4

x = 6

So, arc RT would be,

⇒ 9x - 5 = 9(6) - 5

⇒ 9x - 5 = 49°

Therefore, arc RT = 49°

Learn more about tangent and secant here:

https://brainly.com/question/15178974

#SPJ2

M is the midpoint of PQ. PM = 7x + 8 and MQ = 5x+ 20. Find the value of x.​

Answers

M is the midpoint, so PM and MQ are equal,
So you would do 7x+8=5x+20
Then it would be 2x = 12
So 12 / 2, which is 6
X = 6

Which expression is equivalent to

Answers

Answer:

Step-by-step explanation:

the first expression

11. Michelle used place value to multiply 4,126 and 87. Which is not a step that Michelle could have
taken in her work?
A Multiply 4,126 x 7
B. Multiply 4,126x8
C. Multiply 4,126 x 8 tens
D. Add 28.882 330,080

Answers

Answer:

b

Step-by-step explanation:

B is the correct answer

LAN tosses a bone up In the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented by the function h(t) = -16t^2 + 20t. What is Spots average rate of ascent, in feet per second, from the time she jumps into the air to the Time she catches the bone at t = 1/2 second?

Answers

Answer:

The rate of change is 12ft/s

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 20t[/tex]

Required

Rate of change from when she jumps till 1/2s

The time she jumps is represented as: t = 0

So, calculate h(0)

[tex]h(t) = -16t^2 + 20t[/tex]

[tex]h(0) = -16 * 0^2 + 20 * 0 = 0[/tex]

At t = 1/2

[tex]h(t) = -16t^2 + 20t[/tex]

[tex]h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6[/tex]

Rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

Where

[tex](a,b) = (0,1/2)[/tex]

So, we have:

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(1/2) - h(0)}{1/2 - 0}[/tex]

[tex]Rate = \frac{6 - 0}{1/2 - 0}[/tex]

[tex]Rate = \frac{6}{1/2}[/tex]

[tex]Rate =12[/tex]

The rate of change is 12ft/s

How many different ways can you have 55¢ in change using only quarters, dimes and nickels?

A. 1
B. 5
C. 11
D. 15

Answers

Answer: 11 times

Step-by-step explanation:

Have a wonderful day!

C 11 times. Hope this helps

Find a formula for a geometric sequence that begins 100, 120, 144, ....

Answers

Answer:

[tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]

Step-by-step explanation:

first number is [tex]b_{1} =100[/tex]

the cammon ratio is [tex]r=\frac{120}{100} =\frac{144}{120}=1.2[/tex]

so [tex]b_{n} =b_{1} r^{n-1} =100*1.2^{n-1}[/tex]

plz help, i give brainliest

Answers

Answer:

A

Step-by-step explanation:

waht is the answer for this? −35−85+5−25

Answers

-35-85=-120
-120+5=-115
-115-25=-140

PEMDAS

-140

-35-85=-120

-120+5-25

-120+5=-115

=-115-25

-115-25=-140

-140

solve for x round to your nearest tenth

Answers

Answer:

5.5

Step-by-step explanation:

30-60-90 triangle rule is:

x - x[tex]\sqrt{3}[/tex] - 2x

11 = 2x

x = 5.5

Answer: 50

Step-by-step explanation:

because its rounded to its nearest 20ths'

5 + 5
A)3
B)6
C)10
;D

Answers

Answer:

C) 10

Step-by-step explanation:

lol

The answer is C which is 10

please help!! it’s due asap

Answers

Answer:

x = -4 and 2

Step-by-step explanation:

When x = -4 and 2, y = 0 so -4 and 2 are the roots

"Marty purchased a car. The car cost him $16,500 and it depreciates in value at a rate of 4.3% per year. How much will the car be worth in 12 years?"​

Answers

Answer:

"Marty purchased a car. The car cost him $16,500 and it depreciates in value at a rate of 4.3% per year. How much will the car be worth in 12 years?"​

Step-by-step explanation:

Javier's fuel tank holds 15 galipns completely full. He had some in the tank and added 9.6
gallons of gasoline to fill it completely.
How many gallons of gasoline were in the tank before Javier added some?

Answers

Answer:

6.4 because subtract 9.6 from 15

Combine the like terms to create an equivalent expression for 4z−(−3z)

Answers

Answer:

7z

Step-by-step explanation:

Answer: 7z

Step-by-step explanation:

two negatives cancel into a positive, so -(-3z) is +3z. 4z + 3z = 7z

Express 0.09 as a fraction.

Answers

Answer:

9/100 is the answer i believe

Answer:

the answer is 9/100

Step-by-step explanation:

9 ÷ 100= 0.09

below there was a daily rental cost for ski equipment at benton mountin ski resort radall rents one set of skis two set of poles and two pairs of boots the sales tax for the rental was 7.69 and he paid with a 100 bill how much chang should randall recive frome the 100 dollar bill

Answers

Answer:

hi

Step-by-step explanation:

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