At 10:00 am, a person observes a hot air balloon climbing vertically in the air from a
point 300 meters away from the launch pad for the balloon. The angle of elevation to
the top of the balloon at this time is 25°. At 10:02am, the person observes that the
angle of elevation to the balloon is now 60°. What is the change in altitude, to the
nearest meter, for the balloon over the 2 minutes between the first and second
observations?

Answers

Answer 1

Answer:

We are given two observations Lets use geometric properties to solve300 meters is the hyp or c Theta is 25 degree Theta changes to 60 degree Hence tan(25)= x1/300x1=139.8Now let's find the second height tan(60) =x2/300x2=519.6 ft Now x2-x1 So the difference is 379.8 ft

Related Questions

Simplify the expression:
-9n + -2n

Answers

Answer:

-11n

Step-by-step explanation:

You have to combine like terms

BRAINLIEST PLEASEE

Ob is travelling from his home to his doctor's surgery. He walks 500m to the bus stop, he then gets on the bus. When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km. How many km did Bob travel on the bus?

Answers

Answer:

1.998 km

Step-by-step explanation:

From the question, we know that:

When he gets off the bus, he has to walk a further 2000mm. In total, he travels 2.5km.

We convert 2000 mm to km

1 mm =1 × 10^-6 km

2000mm = x

2000mm × 1 × 10 ^-6km

= 0.002km

Subtracting this from the total distance

2.5km - 0.002 km

= 2.498 km

1 metre = 0.001 kilometre

We convert

He walks 500m to the bus stop, he then gets on the bus.

1 metre = 0.001 kilometre

We convert 500 m to km

1 m = 0.001 km

500m = x

x = 500 × 0.001

= 0.5 km

Subtracting this from the current distance, the distance he travelled on the bus is:

2.498km - 0.5km

= 1.998 km

Therefore, he travelled 1.998 km on the bus

Mathematical sentences can be combined with or or and to make compound sentences.
True
False

Answers

True is the correct answer
The answer is true .

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Answers

Answer:

Option C is correct answer.

Step-by-step explanation:

We need to draw the graph of piece wise function

[tex]f(x)\[ \begin{cases} -2-x & if\:x\leq 1 \\ -3+2x & if\: x>1 \end{cases}\][/tex]

So, for drawing the graph, we will find values of f(x) for both the given equations.

First finding f(x) for [tex]-2-x \:\: if\:x\leq1[/tex]

The value of x must be less than or equal 1

x       f(x)

1        -3

0       -2

-1       -1

-2       0

-3       1

-4       2

The graph will start from closed circle because x ≤ 1

Now, finding values of f(x) for [tex]-3+2x\: if\:x>1[/tex]

The value of x must be greater than 1

x        f(x)

2        1

3        3

4        5

5        7

The graph will start from open circle because x> 1

Now, plotting these numbers we will get graph of Option C.

Option C is correct answer.

7. Se llevó a cabo una encuesta de mercado para calcular la proporción de amas de casa que reconocerían el nombre de la marca de un limpiador a partir de la forma y color del envase. De las 1 400 amas de casa de la muestra, 420 identificaron la marca por su nombre. a. Calcule el valor de la proporción de la población. b. Construya el intervalo de confianza de 99% de la proporción poblacional. c. Interprete sus conclusiones.

Answers

Answer:

a) El valor de la proporción de la población = 0.3

b) El intervalo de confianza de 99% de la proporción poblacional = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

Step-by-step explanation:

a) Halla el valor de la proporción de la población.

El valor de la proporción se calcula mediante la fórmula

p = x / n

donde x = 420

n = número de muestras = 1400

Proporción (p) = 420/1400

= 60/200 = 30/100 = 3/10

= 0.3

b) Construya el intervalo de confianza del 99% para la proporción de población.

La fórmula para el intervalo de confianza para la proporción de población =

p ± z × √p (1 - p) / n

p = 0.3

z = puntuación z para un intervalo de confianza del 99% = 2.576

n = 1400

Por lo tanto:

Intervalo de confianza del 99% = 0.3 ± 2.576 × √0.3(1 - 0.3) / 1400

= 0.3 ± 2.576 × √0.3× 0.7 / 1400

= 0.3 ± 2.576 × 0.0122474487

= 0.3 ± 0.0315494279

Intervalo de confianza del 99% =

0.3 - 0.0315494279

= 0.2684505721

Aproximadamente ≈ 0.2685

0.3 + 0.0315494279

= 0.3315494279

Aproximadamente ≈ 0.3315

Por lo tanto, el intervalo de confianza del 99% = [0.2685, 0.3315]

c) Interprete sus conclusiones.

De los cálculos anteriores, podemos concluir que tenemos un 99% de confianza en que el parámetro de población se encuentra entre 0.2685 y 0.3315 ".

how would you find arctan without a calculator?

Answers

Answer:

Tangent Inverse Function

Step-by-step explanation:

Please solve

16 > -8 + x

Answers

Answer:

3

Step-by-step explanation:

3x18>=3=3

Answer:

x < 24?

Step-by-step explanation:

Find the value of x.

Answers

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

110 degrees ^^^^^^^^^

Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?

Answers

Answer: 150 wpm

Step-by-step explanation:

if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.

1500/10 = 150

Someone help with this please

Answers

Answer:

the answer is discrete

this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend

Step-by-step explanation:

Help meh please sweet hoomans

Answers

Answer:

16) The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Step-by-step explanation:

we need to determine if the ratios form the proportions.

16) [tex]\frac{5}{27},\frac{3}{16.2}[/tex]

If the ratios are proportional, their cross product will be equal. i.e. [tex]\frac{a}{b}=\frac{c}{d}[/tex]

So, finding cross product and checking:

[tex]\frac{5}{27}=\frac{3}{16.2}\\5(16.2)=3(27)\\81=81[/tex]

Since the cross product is equal i.e. 81=81 so, the ratios are proportional.

The ratios [tex]\frac{5}{27},\frac{3}{16.2}[/tex] are proportional.

17) [tex]\frac{34}{9},\frac{25}{7}[/tex]

If the ratios are proportional, their cross product will be equal. i.e.

[tex]\frac{a}{b}=\frac{c}{d}\\ad=cb[/tex]

So, finding cross product and checking:

[tex]\frac{34}{9}=\frac{25}{7}\\7(34)=25(9)\\238\neq 225[/tex]

Since the cross product is not equal i.e. 238≠225 so, the ratios are not proportional.

The ratios [tex]\frac{34}{9},\frac{25}{7}[/tex] are not proportional.

Please please help me!!!!

Answers

9514 1404 393

Answer:

yy+8y-2

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

what value of x satisfies the equation?

Answers

Answer:

I don't know the answer but you can type it in on demos

Answer:

The value of x = 0

Step-by-step explanation:

Got a 5/5 on Plato

is 4x5 equivalent to 4x+9
Hurry hurry

Answers

No it is not equivalent

Answer: yes

Step-by-step explanation:

Find the value of x and y.

Answers

Answer:

X=63 y=27

Step-by-step explanation:

X and 117 are on a straight line. All straight lines = 180 degrees.

180 - 117 = 63

90 - 63 = 27

In parallelogram EFGH if GJ=15 find JE.
F
E
H

Answers

Answer:

15

Step-by-step explanation:

So point j is the midpoint of both of the diagonals in the parallelogram.

That means that JE=GJ

So the answer is 15

Need help asap please help

Answers

Answer:

option 1

Step-by-step explanation:

i believe if i’m not mistaken that the answer is Option 1

The radius of the circle above is 39 mm. What is the circumference of the circle? (Use a = 3.14.)

Answers

Answer:

244.92mm

Step-by-step explanation:

if we say circumference=2*pi*r then we have circumference=2*3.14*39=244.92

so to find the circumferene the formula is pi r 2

a= 3.14 x 39 x 2

a= 244.92 (my teacher tells us to round it to the decimal place of the question, if your teacher says that too here's the answer 245mm)

sorry i took long i selpt while doin this

Determine the smallest integer value of x in the solution 4x-9 ≥ 17

Answers

Answer:

6.5

Step-by-step explanation:

calculator

Answer:

7 is the smallest integer value

plz brainliestt

Step-by-step explanation:

4x>_ 26

x>_6.5

What is the coefficient of 7x?
I need to know ASAP

Answers

Answer:

The coefficient of 7x is 7

At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars? 25p – 25p p – 25 p + 25

Answers

Answer:

p - 25

Step-by-step explanation:

Given :

Discount = 25 dollars off

Regular price = p

Sale price in dollars :

Regular price - discount

p - 25

If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?

A)x=5
B)x=31
C)x=6
D)x=4

Answers

Answer: x = 5

Step-by-step explanation:

Based on the information, the number is x= 5.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Consider that the number be x.

Given that;

Tripling the number we get = 3x.

On subtraction from 28, the equation will be: 28 - 3x.

Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.

Now equating these two equations as;

28 - 3x = 2x + 3

Rewriting the equation as;

3x + 2x = 28 - 3

Now, addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side, we get;

x = 5

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ6

HELP PLZZZZ like asap

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You can substitute the variables for the values!

7x = 21

3y = -6

2x = 6

y = -2

21 - (-6)

----------

6 + (-2)

27

----

4

Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?

Answers

Answer:

no sé eres tú

Step-by-step explanation:

Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?

Answers

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

Mrs. Kidd took her two children to a waterpark for summer fun. An adult ticket cost $32 and the total price of admission for Mrs. Kidd's family was $84. How much was a child's ticket?

Answers

32 + 2x = 84
2x = 52
x = 26
child's ticket is $26

Question 2
5x + 2y = 4
9x + 2y = 12

Answers

Answer:

x-intercept(s):  ( 4 3 , 0 ) y-intercept(s):  ( 0 , 6 )

Step-by-step explanation:

Step-by-step explanation:

5x+2y =4

5x= 4-2y

x= 4-2y/5

Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 8 batches?

Answers

Answer:

24:8

Step-by-step explanation:

Given the following data;

Batch = eggs + sticks of butter

4 batches = 12:4

8 batches = 2 * 4 batches

Therefore, 8 batches = 2*(12:4)

8 batches = 24:8

Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.

Answer:

Step-by-step explanation:

the answer is 24:8

Pls help due ASAP....
Pls show workings.

Answers

Answer:

We can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

Step-by-step explanation:

From the coordinate plane, we can clearly identify that:

Sandy's Hotel is located at the point (-8, 9)Trader Joes' Store is located at the point (-4, 2)

The distance from Sandy's Hotel to Trader Joes' Store can be calculated such as:

[tex]d=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distance between (-8, 9) and (-4, 2)

[tex]d=\sqrt{\left(-4-\left(-8\right)\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{\left(-4+8\right)^2+\left(2-9\right)^2}[/tex]

  [tex]=\sqrt{4^2+7^2}[/tex]  

   [tex]=\sqrt{16+49}[/tex]

    [tex]=\sqrt{65}[/tex]

    [tex]=8.06[/tex] miles

Therefore, we can conclude that the distance from Sandy's Hotel to Trader Joes' Store is:

d = 8.06 miles

Aubree invested $16,000 in an account paying an interest rate of 5.6% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest tenth of a year, for the value of the account to reach $45,600?

Answers

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

What is Interest?

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

Learn more about Interest here:

https://brainly.com/question/22739288

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