Ava is in a hot air balloon that has just taken off and is floating above its launching point. Mary is standing on the ground 4 meter away from the launching point. If ava and mary are 5 meters apart, how high up is ava ?

Answers

Answer 1

Answer:

Ava's altitude is 3 meters.

Step-by-step explanation:

The position of Ava and Mary can be described by the sides of a right angled triangle. Let Ava's altitude be represented by x.

So that applying the Pythagoras theorem, we have;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]5^{2}[/tex] = [tex]4^{2}[/tex] + [tex]x^{2}[/tex]

25 = 16 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 25 - 16

   = 9

x = [tex]\sqrt{9}[/tex]

   = 3

x = 3 meters

Thus, Ava's altitude is 3 meters.


Related Questions

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

Answers

Answer:

Step-by-step explanation:

[tex]y^2=10-x^2\\ \\ 0=10-\sqrt{10}^2\\ \\ 0=10-10\\ \\ 0=0\\ \\ (\sqrt{10},\ 0)[/tex]

The distance between 2 cities on a map is 4.125 inches. Find the actual distance i’d the scale on the map is 2 inches = 40 miles. GIVING BRAINLY !!!

Answers

Answer: 165 miles

Step-by-step explanation:

can somebody help me with this

Answers

C is a right angle which means it measures 90 degree and total sum of angles of any triangle is equal to 180 so that we found the value of X and substituted it in angle A and angle B is already equal to X

Lucy spends 4 hours a week babysitting. Her sister Lily spends 7/8 as much time babysitting. How much time does Lily babysit in a month? *Write the number only. *

Answers

Answer:

14 hours

Step-by-step explanation:

Answer:

14 hours a month

Step-by-step explanation:


A farmer has 140 bushels of beans for sale at a farmer's market. He sells an average of 15 bushels each day. After 6 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
Write a signed number representing the change in the total number of bushels the farmer has for sale.

Answers

Answer:

50

15 * 6 = 90

140 - 90

no links pls find the equation that represents the proportional relationship between in this graph

Answers

Answer:

sjobciducbqpfhivñqrjivbñkqjvbñqjirv

Plz show your work.

Answers

Answer:

look at the picture i sent.......

Which shows the equation of the line that is parallel to the line 4x + y = 4 and passes through
the point (5, 4)?

Answers

Answer:

i B-elive it is B XD

Step-by-step explanation:

Answer:

D. y=-4x+24

Step-by-step explanation:

1.4x+y=4

y=-4x+4

2.4=-4(5)+a

4=-20+a

a=24

3.y=-4x+24

-

Will try to mark the right answer brainiest || What's the slope of this line?

Answers

Answer:

the slope of the line is 2/3x

Step-by-step explanation:

i hope this helps :)

1. FIND THE AREA OF THE FIGURE.
plzz help meee.!.!.!

Answers

Answer:

The answer isn't there

Step-by-step explanation:

We can divide the figure into a rectangle and triangle and add the areas. The area of the rectangle would be length times width: 14 × 12 = 168. The area of a right angled triangle is [tex]\frac{ab}{2}[/tex], where a and b are both legs. a=12 and b=8, so the area would be [tex]\frac{12*8}{2}[/tex] which equals [tex]\frac{96}{2}[/tex], which is 48. Then we add both the areas, 168 + 48 = 216

1. Solve for x
(5x - 10)

Answers

Solveeeeeeeeee for x 5(x-2).

Answer:

5 (x - 2)

Step-by-step explanation:

1. Factor by grouping

5 (x - 2)

This is the answer.

I hope this helps      :)


Chloe is planning an event and purchasing floral arrangements. At Petals Plus, the arrangements cost $35.17 each, and the store
charges $67.00 for delivery of the flowers to the event site. At Blooms, the arrangements cost $25.03 each, and the store charges
$108.00 for delivery of the flowers to the event site.
How many arrangements should she purchase from Blooms in order to get a better value?
OA. 3
OB. 5
OC. 1
OD. 4

Answers

Answer: You would need at least 5 arrangements to make Blooms a better deal

Step-by-step explanation:

Petals Plus

y= 35.17x+67

Blooms

y= 25.03x+108

35.17x+67 =25.03x+108

10.14x= 41

x= 4.05

sorry it isn’t real text but it’s because i couldn’t explain it well.. but pls help when you can!!

Answers

Answer and Step-by-step explanation:

10 and 20 are the initial amounts, so they don't get a variable. The 3 dollars and 2 dollars every mile gets the variable since the occur every mile.

The equations are:

Blank 1: 3x + 10

Blank 2: 2x + 20

To find when they are equal, we equal the equations together.

3x + 10 = 2x + 20

x = 10

Plug 10 into either equation and solve.

Blank 3: 10 (At 10 miles, the equations are equal)

Blank 4: $40 (The will equal $40)

I hope this helps!

#teamtrees #PAW (Plant And Water)

Write the equation of the line that passes through the points (7, –9)
and (1,-4). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answers

Answer:

y=[tex]\frac{-5}{6}[/tex]x+14[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The equation of a line is y=mx+b

to find the equation of the line you need its gradient(m) and its y intercept(b)

the gradient is

[tex]\frac{y1-y2}{x1-x2}[/tex]  

y1= the y value of the first point which is -9

y2=the y value of the second point which is -4

x1=the x value of the first point which is 7

x2=the x value of the first point which is 1

then input the values into the equation

[tex]\frac{(-9)-(-4)}{(7)-(1)}[/tex]

=[tex]\frac{-9+4}{6}[/tex]

=[tex]\frac{-5}{6}[/tex]

to find the y just times the x by the gradient and then minus it from the y

-9-(7 x [tex]\frac{-5}{6}[/tex])=14[tex]\frac{5}{6}[/tex]

making the equation y=[tex]\frac{-5}{6}[/tex]x+14[tex]\frac{5}{6}[/tex]

Identify percent of change. 20 is increased to 22.

Answers

Answer:

10% Change

10% increase

Step-by-step explanation:

Hope this helps!

(percent) of its value 24.4

Is it possible to use dynamic geometry software to draw a triangle with
angles of 50°, 65°, and 70°? Explain.

Answers

Answer:

no

Step-by-step explanation:

The sum of the angles of a triangle must be equal to 180

50+65+70

185

This is not equal to 180 so it does not make a triangle

Solve for x. What does x =

Answers

Answer:

x = 1

Step-by-step explanation:

it's because it is an isosceles triangle

Answer:

x = 1

Step-by-step explanation:

8x + 5 = 2x + 11      (since ∠D = ∠E, triangle is isosceles)

combine like terms:

6x = 6

x = 1

PLEASE DON'T GO PAST THIS QUESTION. REALLY IMPORTANT!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

8.180

9.34.44

10. 885.6

Mariela recolecto 625 mililitros de agua que gotea de su caño en 10 minutos, ella desea saber ¿cuanta agua gastara en una semana ?

Answers

Answer:

En una semana gastará 705,6 litros.

Step-by-step explanation:

Con la información proporcionada, puedes calcular cuánta agua gastará por día usando una regla de tres teniendo en cuenta que un día tiene 24 horas y estas equivalen a 1440 minutos. Además, puedes convertir los 700 ml a litros, considerando que 1 litro son 1000 mL, lo que significa que los 700 mL equivalen a 700/1000=0,7 Litros.

 10 min    →  0,7 L

1440 min →       x

x=(1440*0,7)/10

x=100,8 L

Ahora que conoces la cantidad de agua que gastará por día, puedes multiplicar esta cantidad por 7 que es el número de días en una semana:

100,8*7=705,6 L

De acuerdo a esto, la respuesta es que en una semana gastará 705,6 litros.

The ratio is 2:5 red beads to blue beads. If you have a TOTAL of 21 beads, how many are red, and how many are blue beads?

Answers

Answer:

Number of red beads = 6

Number of blue beads = 15

Step-by-step explanation:

Number of total beads = 21

Ratio of red beads to the blue beads = 2 : 5

Therefore, number of red beads I have = [tex]\frac{2}{2+5}(\text{Total number of beads})[/tex]

                                                                  = [tex]\frac{2}{7}\times 21[/tex]

                                                                  = 6 beads

Number of blue beads = [tex]\frac{5}{2+5}\times (21)[/tex]

                                      = [tex]\frac{5}{7}\times 21[/tex]

                                      = 15 beads

Therefore, number of red beads = 6

And number of blue beads = 15

       

1. Which function does not have the set of all real numbers as its domain? A) f(x) = 3x + 7 B) f(x) = x3 - 2x2 + x – 5 C) fx= 2x-3 D) fx= x-7x+4

Answers

Answer:

None of the given functions

Step-by-step explanation:

Given

[tex]A)\ f(x) = 3x + 7[/tex]

[tex]B)\ f(x) = x^3 - 2x^2 +x - 5[/tex]

[tex]C)\ f(x)=2x - 3[/tex]

[tex]D)\ f(x)=x^2 - 7x + 4[/tex]

Required

Which do not have set of real numbers as its domain

If a function has no root and no denominator, then the domain of such function is a set of all real numbers

The given functions (a) to (d) do not have square roots and do not have denominators.

Hence, all functions have the set of real numbers as their domain

Roberto will roll a number cube and flip a coin. The faces of the number cube are labeled 1 through 6. The coin can land on heads or tails. What is the probability that the number cube lands on an even number and the coin lands on tails?

Answers

Answer: There are 3 even numbers on the cube. There are 2 sides to a coin. there is a 1/2 chance of the cube landing on an even number. There is a 1/2 chance of the coin landing on tails.

There is a 1/4 chance of these events occurring together.

hiii please help i’ll give brainliest thanks

Answers

Answer:

The answer is 0

Hope this helps!

Answer:

0

Step-by-step explanation:

please brainliest

72/9 - 1 x 2^3

8 - 8

= 0

Manny is reading a book. The book has 180 pages. On Sunday he read
1/3 of it. On Monday, he read 44 pages. How many pages does he have left to read?

Answers

Answer:

He has 76 pages left

resuelve la siguiente desigualdad: 2x>-6

Answers

Answer:x>-3

Step-by-step explanation:

Step-by-step explanation:

la respuesta es -12 pero le puedes sacar la mitad osea -6

HELP ME PLEASE I BEG YOU AND I WILL VOTE YOU BRAINLIEST IF YOU REALLY HELP!!!!

Answers

The answer to your question is (A, -3,-5)

Answer:

The correct answer is A(-3,-5)

A rectangular playground has a perimeter of 30 yards. It is 6 yards wide. What is the area of the playground?

Answers

I believe it’s 180. Hope this helps!

Russel randomly surveys seventh graders in his school and finds that 6 of 30 attend summer camp. if there are 200 seventh graders in his school, about how many are expected to attend summer camp.

Answers

40 seventh-graders are expected to attend summer camp.

Because

6/30=x/200

6/30= 6 divided by 30= 0.2

0.2x200=40

If Laila has a total monthly budget of 5,500 and spends 800 on rent, approximately what percentage is that of her total budget A. 2% B. 15% C. 6% D. 10%

Answers

Answer:

Is a or c

Step-by-step explanation:

step- by- step explanation

Convert 7x - y = -9 to slope-intercept form. Simplify your answer.

Answers

It’s y = 7x + 9 in slope intercept form

7x - y = -9
-y = -9 - 7x
y = 9 +7x
y = 7x + 9

The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Equation of a line in Slope-intercept Form

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

Divide both sides by -1

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Learn more about slope-intercept form on:

https://brainly.com/question/4074386

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