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

find the value of x. Round the length to the nearest tenth.

Answers

Answer:

Consider the given right triangle. We have to find the value of 'x'. So, the value of 'x' is 9.2 cm. Option 3 is the correct answer.

Step-by-step explanation:

HELPPP MEEE ASAP PLEASE HELP

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Answer:

look up how to find the area if a kite thats what i do

Step-by-step explanation:

Answer:A. 336 square units

Hope it help plz ♥ heart and vote plz..

Match the word to its description.

Answers

The most frequent value = mode

The middle value = median

The average = mean

The difference between the lowest and highest value = range

Answer:

Mode is the most frequent value

Mean is the average

Median Is the middle value

Range is the difference between etc...

Each side of a square piece of plastic is 2 centimeters long. What is the piece of plastic's area?

Answers

Answer:

4cm because area is length times width

Step-by-step explanation:

Answer:

4 cm2

Step-by-step explanation:

[tex]area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} [/tex]

A factory produces 80,000 candies each day.They produce equal quantity of four flavors:cherry,lemon,orange and strawberry. The candies are mix together during packaging. What is the probability of selecting orange.

Answers

Answer:

1 /4

Step-by-step explanation:

Total number of candies produced per day = 80,000

Number of flavors made = 4

Since the number of each flavor produced are equal ;

Number of each flavor produced :

80000 /4 = 20000

Probability of selecting orange flavor :

Number of orange flavor / total candies produced

= 20000 / 80000

= 1/4

Solve for the missing side



Answers

Answer:

The answer would be

Sin 60°=x/14

X=7v3

I NEED HELP!!! ASAP!
The image of point (2,1) under a rotation -540 degrees about the origin is:

a. (-1,2)
b. (-2,-1)
c. (1,2)
d. (2,1)
e. none of the above

Answers

I think the correct answer is B.

Find the volume of a hemisphere : diameter = 20 m
Round to the nearest tenth.. Single choice.

2093.3 cubic meters

4186.66 cubic meters

4186.7 cubic meters

2093.33 cubic meters

Answers

Answer:

40

4186.66

Step-by-step explanation:

Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct​ answer? EXPLAIN

Answers

Answer: Michaela's answer

Step-by-step explanation:

Dema added the numbers together

Madison had seven pizza boxes left over from her girls weekend and each pizza box there were 2/5 of a pizzas left how much total pizza was left from the weekend

Answers

Answer:

2.8 or [tex]\frac{14}{5}[/tex] or 2[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Take 0.4 and multiply it by 70.4*7=2.8

ABC is dilated by a scale factor of 1/2 to produce A’B’C’. What is A’B, the length AB after the dilation? What is the measure of

Answers

...It's A on Ap3x......

Plz help !! 7th grade math !

Answers

You’re correct, everything else is inaccurate.

Please help ! (Pls DONT send a link)

Answers

i say 33
because every other number is a multiple of five, but not 33

Answer:

33

because every other number is a multiple of five, but not 33

Step-by-step explanation:

Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

Answer:

(3,2)

Step-by-step explanation:

y = -2x + 8

y = x-1

Substitute x-1 for y in the equation y = -2x + 8.  x-1 = -2x + 8

Use the Additive Property to move the

constant terms to one side of the equation.      x-1 = -2x + 8

                                                                                +1           +1

                                                                                  x = -2x + 9

Now do the same to the variable terms.              +2x +2x

                                                                                 3x = 9

Divide both sides of the equation by the

constant in the variable term.                               ÷3 = ÷3

                                                                                   x = 3

To find y, simply substitute the value of x into

one of the original equations.                                 y = x-1

                                                                                   y = 3-1

Solve:                                                                         y = 2

The solution is (3, 2).

Simplify

-3(y+4)+4y

Please ANSWER FAST!!!!!

Answers

Answer: y-12

Step-by-step explanation:

-3(y+4)+4y

first distribute teh -3 to the y and the 4, so you get -3y and -12. Then combine like terms. -3y-12+4y, add the -3y and 4y, you get y. So the answer is y-12.

Answer:

y = 12

Step-by-step explanation:

here's your solution

=> -3(y + 4) + 4y = 0

=> -3y -12 +4y = 0

=> y -12 = 0

=> y = 12

hope it helps

Find the exact value of each variable.

x=
y=
z=

Answers

x = 12 SQRT2

y = 12

z = 12 SQRT3

Step-by-step explanation:

hope it helps

have a great day!!

Work out the size of angle x.
38°
х
101°

Answers

The size of the angle 'x' is 117°

The external angle of a triangle:

An external angle of a triangle is an angle formed by extending one side of the triangle and intersecting with the extension of another side.

In a triangle, the measure of an external angle is equal to the sum of the measures of the two opposite interior angles.

Here we have  a triangle

Let the ABC be the triangle as given in the picture

=> ∠A = 38°  

From the baseline BC

=> Measure of B = 180° - 101° = 79°

As we know

In a triangle, the measure of an external angle is equal to the sum of the two opposite interior angles

=> x = ∠A + ∠C

=> x = 38° + 79°

=> x = 117°  

Therefore,

The size of the angle 'x' is 117°

Therefore,

Learn more about Triangles at

https://brainly.com/question/9934544

#SPJ1

Find f(-5) if f(n) = n^3 + 3n^2

Answers

Plug in -5 for n
-5^3 + 3(-5)^2
-125 + 3(25) = -125 + 75 = -50
f(-5) = -50

find the equation that represents the proportional relationship between in this graph

Answers

Answer:

y = 7/8x

Step-by-step explanation:

...................

Madison is saving nickels. She saves 1 nickel the first day, 2 nickels the second day, 3 nickels the third day, and so on for 15 days. At this rate, how much money will she save over the 15 day period

Answers

Answer:

$6

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

there's 10

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15

1 + 9 = 10

10 + 10 = 20

2, 3, 4, 5, 6, 7, 8, 11, 12, 13, 14, 15

2 + 8 = 10

20 + 10 = 30

3, 4, 5, 6, 7, 11, 12, 13, 14, 15

3 + 7 = 10

30 + 10 = 40

4, 5, 6, 11, 12, 13, 14, 15

4 + 6 = 10

40 + 10 = 50

5, 11, 12, 13, 14, 15

5 + 15 = 20

50 + 20 = 70

11, 12, 13, 14

11 + 14 = 25

70 + 25 = 95

12, 13

12 + 13 = 25

95 + 25 = 120

she would 120 nickels which is

120 x 5 = 600 cents or $6

A rectangular prism has a length of 5 cm, a width of 7 cm, and a height of 4 cm. What is the volume of the prism?

Question 1 options:

A: 39 cm cubed


B: 16 cm cubed


C: 140 cm cubed

Answers

Answer: 140

Step-by-step explanation:


It’s C: 140 cm cubed

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

Answers

Answer:

11.6m

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

We solve the above question using the Trigonometric function of Sine.

sin θ = Opposite/ Hypotenuse

Hypotenuse = Length of the ladder = 13.5m

Opposite = d

θ = 59° 22'

= 59° + 22/60

= 59° + 0.367

= 59.367°

Hence,

sin 59.367 = d/13.5m

d = sin 59.367 × 13.5m

d = 11.616057416m

Approximately = 11.6m

Therefore, the distance d the ladder goes up the wall is 11.6m

Sorry if the pictures a little weird looking, I was in a rush .

Answers

I think the question is asking for the median. If that’s not right, let me know in the comments, and I will help you more.

If we write these data points in order:

2, 4, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 10

I start crossing off numbers from one end to the other to find of the middle data point. That’s what the median is.

Remove the first 6 data points and the last 6 data points, and you have your median. If the next median problem you have to solve has an even number of data points, your average the middle two.

Let me know if you have questions.

Can someone help me with this. Will Mark brainliest.

Answers

Answer: ur answer would be (1,5)

Step-by-step explanation:

Hope this helps! Have a good day! :)

Someone help please

Answers

Answer:

-2x2 y1/3

Step-by-step explanation:

At a school, there are 526 students and 263 are girls. About how likely is it that a randomly chosen student will be a boy?

◯ unlikely
◯ somewhat likely
◯ very likely
◯ equally as likely as unlikely

Answers

-> equally as likely as unlikely
It‘s 50/50

3. An ELA test is worth 100 points. There are a total of 26 questions. They are spelling word questions that are worth 2 points each and vocabulary word questions worth 5 points each. How many of each type of question are there? *

Answers

Answer:

There are 10 two point questions and 16 five point questions.

Step-by-step explanation:

x = the number of 2 points questionsy = the number of 5 points questionsx + y = 262x + 5y = 100x = 10 two points questionsy = 16 five points questions

how do i find the x and y intercepts of x+y-5=0

Answers

Answer:

To find x intercept. Substitute y=0 in the given equation, and solve for x . x−0=5. x=5. Therefore, x intercept =(5,0)

To find y intercept. Substitute x=0 in the given equation, and solve for y . 0−y=5. y=−5. Therefore, y intercept =(0,−5)

Step-by-step explanation:

Answer:

y intercept = -5

x intercept cordinate= (5,0)

Step-by-step explanation:

Kala deposits $7000 into an account that pays simple Interest at a rate of 4% per year How much interest will she be paid in the first 4 years?

Answers

Kala want get paid $1120 in the four years

The area of the entire figure is 1 square unit

Answers

Answer:

Area of shaded part = 0.42 unit²

Step-by-step explanation:

Given:

Length of shaded part = 0.7 unit

Width of shaded part = 3 x 2 = 0.6 unit

Find:

Area of shaded part

Computation:

Area of rectangle  = L x B

Area of shaded part = 0.7 x 0.6

Area of shaded part = 0.42 unit²

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