An airplane is flying at a height of 3 kilometers on a path that will take it directly over the airport. At a certain instant its slant distance from the airport is 18 kilometers. How far must the plane travel to be directly above the airport?

A 333km

B 315km

C 15km

D 21km​

Answers

Answer 1

Answer:

its b......................

Answer 2

The airplane must travel [tex]\sqrt{315}[/tex] km to be directly above the airport.

What is Pythagoras Theorem?

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

We have to apply the Pythagoras theorem to solve the problem.

By Pythagoras theorem,

Base² + Altitude² = Hypotenuse²

Given,

Altitude = 3 km

Hypotenuse is the slant distance from the airport = 18 km

Let x be the distance plane must travel to be directly above the airport.

x² + 3² = 18²

x² = 315

x = [tex]\sqrt{315}[/tex]

Hence the distance plane must travel is [tex]\sqrt{315}[/tex] km.

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Related Questions

Look at the point P on the number line.
Which number lines have a point that is equal to point
P? Check all that apply.
р

Answers

Answer:

the answer is A and C

Step-by-step explanation:

yw


The equation of line L, is y= 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.

Answers

Answer:

Step-by-step explanation:

2y=10x-3( i arranged it to make it easier)

y=(10x-3) divided by 2

y=5x-1.5

they are parallel because they have the same gradient/slope number.

pedro placed an order with an online nursery for 6 apple trees and 5 azaleas and the order came to $219. the next order for 3 apple tree and 4 azaleas came to $132. what was the unit cost for each apple tree and for each azalea?

Answers

X = apples trees
Y= azaleas


6x + 5y = 219
3x + 4y = 132

-2(3x + 4y = 132)
-6x - 8y = -264
6x + 5y = 219
-3y = -45
-3y/-3 = -45/-3
y = 15

6x + 5y = 219
6x + 5(15) = 219
6x + 75 - 75 = 219 - 75
6x/6 = 144/6
X = 24

The cost for each apple tree is $24 and fit each azalea is $15

The cost for each apple tree is; $24 and fit each azalea would be; $15.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider X = apples trees and Y= azaleas

Therefore, the system of equation is;

6x + 5y = 219

3x + 4y = 132

Solving;

-2(3x + 4y = 132)

-6x - 8y = -264

6x + 5y = 219

-3y = -45

-3y/-3 = -45/-3

y = 15

Now substitute;

6x + 5y = 219

6x + 5(15) = 219

6x + 75 - 75 = 219 - 75

6x/6 = 144/6

X = 24

Thus, The cost for each apple tree is; $24 and fit each azalea would be; $15.

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Sadie's office had already recycled 13 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 8 kilograms of paper each week. How many weeks will it take Sadie's office to recycle a total of 29 kilograms of paper?

Answers

Answer: 2 weeks

Step-by-step explanation:

The office had already recycled 13 kilograms of paper this year and need to recycle a total of 29.

The number of kilograms left is:

= 29 - 13

= 16 kilograms of paper

Recycling at a rate of 8kg per week, the number of weeks it will take them to reach 16 kilograms is:

= 16 / 8

= 2 weeks

-8t = 64

Answer:
t = ?

Answer the ? Mark pls

Answers

Answer:

t= -8

Step-by-step explanation:

-8t= 64

t= 64/-8= -8

hope it helps! please mark me brainliest..

thank you!! have a good day ahead

Answer:

t = -8

Step-by-step explanation:

Knowing eight times eight equals 64, I knew that is the answer. So, instead of positive eight, it would have to be negative given a negative times a negative equals a positive.

-8 x -8 = 64

I hope this helps!

answers for the 2 boxes ​

Answers

Step-by-step explanation:

y = 4x + 3.

Therefore y = 7 + 3x

=> (4x + 3) = 7 + 3x

=> x = 4.

y = 4(4) + 3 = 19.

The solution pair is (4,19).

A 30-60-90 triangle is shown below. Find the Value of X.

Will mark brainliest

Answers

Answer:

x = 5

Step-by-step explanation:

ratio of sides in a 30-60-90 triangle is  1: [tex]\sqrt{3}[/tex] : 2

to find 'x' for the triangle shown, divide the hypotenuse by 2

10/2 = 5

The line models the temperature starting at noon on an autumn day.

a. Find the y-intercept of the function.

b. What does the y-intercept represent?

please help! (i will insert a picture so you can see the graph)

Answers

Answer:

a) y-intercept (as can be seen) is 50 degrees

b) this means that, at the time the temperature began to be recorded, it was 50 degrees outside

Step-by-step explanation:

Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP

Answers

Answer:

Proved

Step-by-step explanation:

m∠JPO  = 90  =  m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP

Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Please refer to the attached picture for the diagram.

We have:

KW is perpendicular to JO, JP is perpendicular to KO.

KN intersects with JP=Q.

From the figure:

Angle JPO =Angle OWK = 90 degrees

By using the reflexive property:

Angle O = Angle O

Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.

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3. The Statue of Liberty is 305 feet tall. Lisa has a replica that is 9 inches tall and the

length of the right arm holding the torch isi inches. How tall is the actual right arm

holding the torch?

Answers

Answer: 33.9 inches

Step-by-step explanation:

Assuming you meant to write that the length of the right arm holding the torch is 1 inch:

The statue is 305 feet tall and the replica is 9 inches tall.

If the replica's right arm is 1 inch, the actual arm will be:

= 1 * 305/9

= 33.9 inches

If right arm of replica was not 1 inch, use this answer as reference.

PLEASE HELP LOL
What is the missing perfect square?
25, 36, 49, _____, 81, 100
A)50
B)58
C)60
D) 64

Answers

Answer:

The answer is D. 64 because after 49 it is 64 (8*8=64 and 7*7=49)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I really need help. I don’t understand

Answers

Answer:

ther is a graph along with the question right? So you need to check the y ordinate value for given X ordinate value.Meaning you need to find the point in given x-ordinate and check their y-ordinate and write in the out box.

As for the rule,there will be same relation between the X and y ordinates.You need to find the relation.

If you post the graph ,I will give you full answer

What is the value of the expression “two less than six times the difference of a number and five" when n =
22
16
ОООО
32
31

Answers

It’s 16 because Ik I did it before so do y worry

Maggie has 3 quarters, Elizabeth has 5 quarters, and John has 7 quarters. If a represents $0.25, which of the followin expressions represents how much money they have altogether?​

Answers

Answer:

.375 cents Or 3.75 dollars

Step-by-step explanation:

So on each number you have a certain amount of quarters so for maggie 75 cents

and for elizabeth 1.25

and john 1.75 then add all together to get 375 cent of 3.75 dollars

Answer:

I did this question a like an hour ago is it the one that says "If q represents $0.25," because if it is the answer is 15q

Step-by-step explanation:

=0.4 × 0.3
here's a picture:D

Answers

Answer: The answer is 0.12

Step-by-step explanation:

Lines N and Pare parallel. Angle M measures 126 degrees. Find the measure of angle Q.

Answers

Answer:

Q= 126°

Step-by-step explanation:

Using the picture given, because these are parallel lines broken by a transversal, we can say the following

M=A=Q=F

B=C=D=G

Since, for example, M and C are the same line, we can say that M+C=180 and so on.

M=Q

Q= 126°

kiersten is 6ft tall. She is standing in front of a tree and notices her shadow. If her shadow is 9 feet away from her and the shadow of the tree is 84 feet away from the tree, how tall is the tree?

Answers

If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.

How to find the height?

Given data:

kiersten height = 6ft tall

Shadow = 9 feet away

Shadow of tree = 84 feet

The equation that will be use to find the height is 6/9= x/84

Let x represent the tree's height

So, let solve for x

6/9= x/84

Cross multiply:

9x = 6(84)

9x = 504

Divide both side by 9x

x= 504/9

x = 56 feet

Therefore we can conclude that the height of the tree is 56 feet.

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“z varies jointly as x and y”
1. Translate into variation statement
2. Ifz=36whenx=3andy=2,findk.
3. xis4wheny=3andz=2.Whatiszifx=8and y=6.
The area a of a triangle varies jointly as its base b and height h.
4. Express the relation as a variation statement.
5. Iftheareais15cm2whenthebaseis5cmandtheheightis6cm,
find k.
6. Ifa=65cm2whenb=10cmandh=13cm,findawhen b=8cm
and h = 11 cm.
________________________________________________________________

Answers

Answer:

urdykdgjjdtdgdmgkgdzkyjt

Answer:

1. z=kxy

2. 36=k(3)(2)

k=6 is the answer

3. 2=k(4)(3)

k= -6 is the answer

z=kxy z=(-6)(8)(6)

z= -288 is the answer

you always remember that the formula we should use is z=kxy

8. Jackson bought three CDs. A week later half of all his CDs were
destroyed in a fire. There are now only 24 CDs left. How many did
he start?

Answers

24+24 is 48
If he started with 48 then half of 48 is 24
48? It says 3 cds in the beginning but is asking how many there were in the beginning but if I ignore that then I get 48

The campsite costs $10 a night and you stay 5 nights. If the sales tax is 8%, how much will it cost for 5 nights with tax?

Answers

Answer:

54

Step-by-step explanation:

5*10 = 50

50 * 1.08 = 54

HELP ASAP ILL GIVE U BRAINLEST

Answers

Answer:

c=0.79s

I hope this helps:

7.11/9=0.79

ty-qy+p=r solve for y ​

Answers

Answer:

[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]

Step-by-step explanation:

In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.

Step 1: Subtract [tex]p[/tex] from both sides of the equation.

[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]  

Step 2: Factor out the common term [tex]y[/tex] from the left side

[tex]y( t-q ) = r-p[/tex]

Step 3: Divide both sides by [tex]t-q[/tex]

[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]

Hope this helped!

What is x/y 2/130 4/100 6/70
pls help

Answers

Answer:

It is inversly proportional, there is no constant, the directio is from left to right and from up to down, as x gets larger, y gets less

Step-by-step explanation:

Write the equation of the line passing through the points (-7,4) and (7,2).​

Answers

Answer:

y = -1/7x + 1

Step-by-step explanation:

This could be wrong. But I'm pretty sure

SOMEONE HELP ASAP I HAVE THREE MINUTES PLEASEEEEEEEEEEEEEEEEEE I'LL GIVE BRAINLIEST TO FIRST REAL ANSWER

Answers

X=1
F(x) = 2
I am pretty sure I hope this helps

Which of these describes the function graphed below

Answers

Answer:

B

Step-by-step explanation:

Which Pixar characters do you think were the hardest to bring to the screen, and why?

Answers

Pepita from coco (big flying cat). Do you seeee how colorful and detailed that thing was

5(-1x+5)=10 pls help

Answers

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Answer: x = 3

Step by step

5 ( –1x + 5) = 10

(1) Distribute

= – 5x + 25 = 10

(2) Subtract 25 from both sides of the equation

= –5x + 25 -25 = 10 – 25

(3) Simplify

= –5x = – 15

(4) Divide both sides of the equation by the same factor

= –5x/–5 = –15/ –5

(5) Divide the number

= x = –15/–5

Answer: x = 3


−9,000÷3=−3,000 What does -3,000 tell me

Answers

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

Simplify the expression so there is only one positive power for each base. ​

Answers

i hope you understand

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