From a hot-air balloon, Daniel measures a 33^{\circ} ∘ angle of depression to a landmark that’s 1579 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer 1

The balloon’s vertical distance above the ground is 860.0 ft

Right angle triangle:

Right angle triangle are triangle that has one of its sides as 90 degrees. The side of the triangle can be found using trigonometric ratios. Therefore,

The horizontal distance from the landmark tot he hot balloon is 1579 feet and it is the hypotenuse side of the triangle formed. Therefore, the vertical height is the opposite sides.

Using trigonometric ratio,

sin 33° = opposite / hypotenuse

sin 33° = x / 1579

cross multiply

x = 1579 × sin 33

x = 1579 × 0.54463903501

x = 859.985036289

x = 860.0 ft

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Related Questions

Is 2 the same as 2.5 I forgot

Answers

Answer:

2.5 is greater than 2.

They are not equal

2.5 is in between 2 and 3

Since 3 is greater than 2, and 2.5 is in between them, 2.5 is greater than 2.

1. Mike has four cards numbered one to four. He draws one card and records the number. Calculate the probability that the result will be:

A a multiple of three
B a multiple of two
C a factor of three

Answers

Answer:

A) [tex]\frac{1}{4}[/tex]

B)[tex]\frac{2}{4}[/tex]

C)[tex]\frac{2}{4}[/tex]

Step-by-step explanation

sample space (S) = {1,2,3,4}

n(S) = 4

multiples of three (a) = {3}

n(a) = 1

probability of a = [tex]\frac{n(a)}{n(S)}[/tex]

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

multiples of two(b) = {2,4}

n(b) = 2

probability of b = [tex]\frac{n(b)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

factors of three(c) = {1,3}

n(c) = 2

probability of c = [tex]\frac{n(c)}{n(S)}[/tex]

                         = [tex]\frac{2}{4}[/tex]

Hurry please!
What is the slope of a line perpendicular to the line whose equation is x – 3y = 27.
Fully simplify your answer.

Answers

Answer:

So a line perpendicular to this equation would be any line with a slope of -3/4 (the negative reciprocal of the slope)

Step-by-step explanation:

First convert the original equation into y = form to find the slope.

Subtract 4x on both sides leaving -3y = -27 - 4x

This leaves y = (-27 - 4x)/(-3)

You can divide both -27 and -4x by -3 individually to get 9 and 4/3 respectively

This makes your equation y = 9 + (4/3)x

Whenever an equation is in y = mx + b form, the 'm' represents the slope. In this case the slope is 4/3.

What formula can we use to find the surface area of a rectangular prism? Question 4 options: SA = 2lw 2lh 2wh SA = 2lwh SA = πr2 SA = lw lh wh.

Answers

Check the picture below.

2x – 20 < -14 please help i have to find the inequality and graph the solution

Answers

Answer:

x < 3

Step-by-step explanation:

Step 1: Add 20 to both sides.

[tex]2x-20+20 < -14+20[/tex] [tex]2x < 6[/tex]

Step 2: Divide both sides by 2.

[tex]2x/2 < 6/2[/tex] [tex]x < 3[/tex]

what does b=. pls help

Answers

Answer:

Step-by-step explanation:

b=-13

help, please ????? ???????????

Answers

Linear
Exponential
Exponential
Linear
Linear
Non

Brainliest pls!!!

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
4y – 2x =
= -8

Answers

4y-2x=8
4y=2x+8
Y=1/2x+2
Hope this helps

divide complex numbers -9+8i/-3+9i

Answers

Answer:

Answer: 16-2i

Step-by-step explanation:

Draw a number line to represent the inequality

y < 3

Answers

Answer:  

< means y is smaller than 3, it's not equal, so it's open dots.

(number line see the attach image.)

pls help asap. i hate these questions

Answers

Answer:

5. 8

6. 5

7. 7

8. 6

9. 3

10. 4

Step-by-step explanation:

The unknown number is the the larger number divided by 10.

Like in #5 : 80 ÷ 10 = 8

I need help asap!!!!!!!

Answers

Answer:

Step-by-step explanation:

There are 140 boys and 120 girls in a school. find the ratio of
i, boys to girls
ii, boys to the total number of students
iii, girls to the total number of students
i want process with answer
giving answer with process
making him/heras a brainlists​

Answers

Answer:

i. 7:6

ii. 7:13

iii. 6:13

Step-by-step explanation:

boys to girls = 140:120 so we can simplify by 20 to get 7:6

boys to total = 140:(120+140) = 140:260 we can simplify again to get 7:13.

girls to total = 120:(120+140) = 120:260 we can also simplify to get 6:13

please answer answer math question

Answers

Only option d is the correct answer as x = 3 is a solution to the equation.

To solve this problem, we have to substitute the value of x into the equation and see if it is equal to zero.

Solution of an Equation

a)

[tex]3x+7 = x - 8[/tex]

when x = -6

substitute the value of x

[tex]3x+ 7 = x - 8\\x = -6\\3x-x = -8-7\\2x = -15\\2(-6) = -15\\-12 \neq -15[/tex]

equation (a) is wrong.

b)

[tex]-2x-8=-4x-1\\x = 3[/tex]

collect like terms and substitute for x

[tex]-2x-8=-4x-1\\x = 3\\-2x+4x= -1+8\\2x = 7\\2(3) = 7\\6\neq 7[/tex]

equation(b) is wrong

c)

[tex]-5x+7 = 2x - 14\\x = -8\\[/tex]

collect like terms and substitute for x

[tex]-5x+7 = 2x - 14\\x = -8\\7+ 14 = 2x + 5x\\21 = 7x\\21 = 7(-8)\\21 \neq -42[/tex]

d)

[tex]-(x-1)=4x-5-3x\\x = 3\\-(x-1) = 4x -5 -3x\\-x+1 = x- 5\\2x = 6\\2(3) = 6\\6 = 6\\[/tex]

From the above calculation, only option d is the correct answer as x = 3 is a solution to the equation.

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A project is graded on a scale of 1 to 5. if the random variable, x, is the project grade, what is the mean of the probability distribution below? a probability distribution is shown. the probability of 1 is 0.1; 2 is 0.2; 3 is 0.4; 4 is 0.2; 5 is 0.1. 0.2 0.4 1 3

Answers

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean of the probability distribution is 3.

What is a probability distribution?

For a particular data generation process, a probability distribution represents the predicted outcomes of various values. The mean, standard deviation, skewness, and kurtosis are all features of probability distributions, which are characterized by the mean, standard deviation, skewness, and kurtosis.

The mean of the probability distribution is determined by the given formula,

[tex]\mu = \sum (x\times P(x))[/tex]

Now, substituting the value to know the probability distribution, we will get,

[tex]\mu = (1 \times 0.1)+(2 \times 0.2)+(3 \times 0.4)+(4 \times 0.2)+(5 \times 0.1)\\\\\mu = 0.1+0.4+1.2+0.8+0.5 = 3[/tex]

Hence, the mean of the probability distribution is 3.

Learn more about Probability Distribution:

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Answer:

its 3

Step-by-step explanation:

got it right on edge 2022

Help please I will give brainliest fast please 15 points

Answers

Answer: 40/11 hours

Step-by-step explanation:

Since y represents the amount of time the car goes at 35 miles per hour, and it is given that the car spends no time at 35 miles per hour, y = 0.

We can plug y into the equation given to find x, which would be the time travelled at 55 miles per hour, or the total time in this case.

55x + 35*0 = 200

55x = 200

x = 200/55

x = 40/11 hours

The height of a golfball hit off a 128-foot hill is modeled by the function h(t) = −16t2 + 32t + 128, where h is height in feet and t is time in seconds. Find the time the golf ball takes to reach the ground.

Answers

The time taken for the golf ball to reach the ground is 1 s.

Motion of the golf ball

The path of motion of the golf ball can be described as parabolic because it is projectile.

When the golf ball reaches the ground, the final velocity will be zero.

Velocity of the golf ball is change in height with time.

v = dh/dt

h(t) = -16t² + 32t  + 128

dh/dt = -32t + 32

0 = -32t + 32

32t = 32

t = 1 s

Thus, the time taken for the golf ball to reach the ground is 1 s.

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Answer:

6 seconds, the other dude is a dimwit

Step-by-step explanation:

can some1 help? im a little confused:(

Answers

Answer:

16

Step-by-step explanation:

https://brainly.com/question/1701683

url to the help thingy

What is the product

(3x-6)(2x^2-7x+1)

Answers

Answer:

6x^3-33x^2+45x-6 (third answer)

Step-by-step explanation:

(3x-6)(2x^2-7x+1)

=3x(2x^2-7x+1)-6(2x^2-7x+1)

=6x^3-21x^2+3x-12x^2+42-6

=6x^3-21x^2-12x^2+3x+42x-6

=6x^3-33x^2+45x-6

can anyone help me please ?

Answers

Answer : A = 4a2b6 -5b4 + 3ab3

In descending order of b powers means the term whose b has the greatest power comes first, followed by the nxt and the one with the lowest power be the last in that order
From is the powers of b in the expression are 3,6,4
Arranging this in descending (biggest to smallest)
= 6,4,3
Hence the expression in descending order of the powers of b is
4a2b6 -5b4 + 3ab3

Give three pros and cons of getting a pug, and the same for a poodle.

Answers

Answer:

Step-by-step explanation:

pugs;

pros= Pugs are small in size and thus, making them suitable for small-sized rooms or apartments. Pugs have a friendly and lapdog temperament, get along well with most people and pets. Pugs are low to medium-shed breeds, which implies you are less likely going to be troubled with shedding.

cons= Pugs are prone to various throats, ears, eyes, folds, facial infections, and breathing troubles; hence they will require regular health check-ups. Pug dogs are not highly trainable – it will be difficult to train a pug to do not-so-easy activities even if you hire a professional.

poodle;

pros=They don't shed. Poodles have long hair, instead of fur so they do not shed. ...

They're easy to train. The poodle's intelligence and eagerness to please make them easy to train. ...

They're good with children or other dogs. ...

They make great service dogs or therapy dogs.

cons= Their hair requires some serious maintenance. Because poodles can grow their hair long, they require a lot more maintenance than breeds with short, flat coats. ...

They require a lot of mental stimulation. ...

They can be emotionally sensitive.

Answer: brainliest please!

Pros of a Pug

! Pugs are small in size and thus, making adaptable small-sized rooms or apartments.

! Pugs have a friendly temperament and get along well with other people/pets.

! Pugs are low to medium-shed breeds which mean you are less likely going to be troubled with shedding.

! Can take simple commands without hiring a professional trainer/ train on your own
Cons of  a Pug

! Gains weight easily and lack of daily exercises like a walk or run can easily have them gain weight and affect their health.
! Pug dogs are not highly trainable ~ can do simple tricks like:
sit, stand, run, fetch but not complicated ones
! Health risks ~ Pugs are prone to throat, ears, eyes, facial infections, and breathing troubles :; hence they will require regular health check-ups.

````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````````
Pros of Poodle
! They don’t shed. Poodles have long hair, instead of fur so they do not shed.
! super easy to train compared to pugs and easily learn hard tricks and so.
! They're good with children or other dogs
! They make great service dogs or therapy dogs
Cons of Poodle
! Their hair requires some serious maintenance
! They can be emotionally sensitive
! IMPORTANT - They require a lot of mental stimulation

These pups have trained to live a luxurious lifestyle they’re rarely content to live as lap dogs. They will use their intelligence for less desired behaviors like digging, chewing, or excessive barking. If your lifestyle doesn’t allow you to provide ample mental stimulation for your dog, it might be worth considering another breed.

Helpppp!!!!!! Pleaseeeee!!!!!!!!!

Answers

Answer:

56 meters

Step-by-step explanation:

5+5+5+11+7+16+7 = 56

Answer:

Should be 56 m

Step-by-step explanation:

5+7+16+7+11+5+5 = 56 m

lan is going bowling. The shoe rental is $5.00 for
the evening. Each game costs $3.00. He only has
$20 in his pocket. How many games can he play?
Let y represent the number of games in this
inequality:
$5.00 + 3y <$20
Ay 25
BY
C.y = 5
D.y > 5

Answers

Answer:

choose the last answer D I did this quiz and i am foolproof it is correct

Step-by-step explanation:

Answer:

he can play 5 more games.

Step-by-step explanation:

he has $20 and he uses $5 for shoes so he has $15 left. each game costs $3 so 3x5 = 15

What is the value of a?

Answers

Answer:

97

Step-by-step explanation:

(a - 48) + a = a + 49

2a - 48 = a + 49

a = 97

We can do this because the angles of a triangle all add up to 180 and 2 angles of a line add up to 180.

2(n+5)=-2

I need the steps

Answers

Answer:

n = -6

Step-by-step explanation:

2 ( n + 5 ) = -2

First, solve the brackets.

2n + 10 = -2

Now take 10 to the right side.

2n + 10 -10 = -2 - 10

2n = -12

Then divide both sides by 2.

[tex]\frac{2n}{2} =\frac{-12}{2}[/tex]

And now you'll the value of n.

n = ( -6 )

A wedding planner is organizing the seating for a wedding. he can represent the number of rows by the function f(x) = 13x and the number of seats in each row by the function g(x) = 5x – 2. which function represents the total number of seats? 65x 26 65x – 26 65x2 26x 65x2 – 26x

Answers

65 x²-26 x function represents the total number of seats. A function is an association between a bunch of information that each has one outcome.

What is a function?

A function is a relationship between a group of inputs that each have one output. A function. It is a connection between information in which each information is associated with only one outcome.

The function is found by the multiplication of the number of rows and the number of seats per row.

[tex]\rm f(x) \times g(x)\\\\ 13x \times (5x-2) \\\\ 65 x^2-26x[/tex]

Hence 65 x²-26 x function represents the total number of seats.

To learn more about the function refer to the link;

https://brainly.com/question/5245372

Answer:

d

Step-by-step explanation:

edge 2022

(6 - 7) + (-11 + -2) =

Answers

Answer:

-14

Step-by-step explanation:

(6 - 7) + ( - 11 + -2)

= -1 + -13

= -14

Answer:  - 14

Step-by-step explanation: 6 - 7 = -1       -11+ -2 = - 13        -13 + - 1 = -14

Hope that helps! :)

I NEED THE ANSWER PLEASE I DONT UNDERSTAND I JUST NEED THE ANSWER FOR 23,21,18

Answers

Step-by-step explanation:

follow the picture uploaded. everythinh has been solves systematically

math related xxxxxxxxxx

Answers

Answer:

x = 9

PQ = 19

QR = 19

RP = 10

Step-by-step explanation:

if 3x - 8 = 2x+1

then,

3x -2x = 1+8

x = 9

for pq,

2x+1

2x + 1 = 2*9+1

=>18 +1 = 19

for qr,

3x-8 = 3*9-8

=>27-8 =19

for rp,

x+1=9+1

=> 10


Write the decimals and percents illustrated by the picture below

(can someone help me with this question? the pic is down below! i js need a decimal and percent) thanks

Answers

Answer:

Decimal: 0.16

Percent: 16%

Step-by-step explanation:

There is 16 blocks shaded out of 100 blocks.

16/100=

0.16

16%

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