From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer 1

The balloon’s vertical distance above the ground is 556 feet

The set up will form a right triangle.

Given the following parameters

Angle of depression = 29 degreesHorizontal distance = 1004 feet

To get the height above the ground, we will use the SOH CAH TOA identity as shown;

Opposite = h

Adjacent = 1004 feet

Tan theta = h/1004

Tan 29 = h/1004

h = 1004 tan 29

h = 1004(0.5543)

h = 556.52 feet

Hence the balloon’s vertical distance above the ground is 556 feet

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Related Questions

Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year? ​

Answers

Answer:

they all read 52.800 pages in that year

Step-by-step explanation:

320 X 55 = 17.600 pages/person

17.600 X 3 = 52.800 pages

52,800 you just have to muliply it all together

How many meters are equal to 18 kilometers?

Answers

Answer:

18000

Step-by-step explanation:

The number of meters in 18 kilometers is 18,000 meters(m)

How to convert meters to kilometers

1900 meter(m) = 1 kilometer(km)

x meters = 18 kilometers

x meters = 18 kilometers × 1000

x = 18,000 meters

Therefore, 18 kilometers is equivalent to 18,000 meters

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28. A student suggests that she can show (-1)(-1) = 1 using the
fact that -(-1) = 1. Is her reasoning correct? If yes, what
result will she apply? If not, why not?

Answers

Answer:

not

Step-by-step explanation:

because negetive plus negative will equal negative and bot positive

if this is multiplication yes it does apply...-1×-1=1

patrick had 144 coins in his collection of nickels and quarters. If the coins have a total value of $20, how many are nickels and how many are quarters?

Answers

Answer:

30

Step-by-step explanation:

2 1/2+x=5 1/3 PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2 1/2 + x = 5 1/3                Change the mixed numbers to improper fractions

5/2 + x = 16/3                   The lowest common multiple is 6. Multiply by 6

5*3 + 6x = 16*2

15 + 6x = 32                      Subtract 15 from both sides.

6x = 32 - 15

6x = 17                              Divide by 6

6x/6 = 17/6

x = 2 5/6

Check

5/2 + 17/6 = 16/3

15/6 + 17/6 = 32/6

32/6 = 32/6                    The question checks.

evaluate the following expression . 2*[4+(12+16)/7

Answers

Answer:

16

Step-by-step explanation:

[tex]2 \times (4 + (12 + 16) \div 7 \\ (12 + 16) = 28 \div 7 = 4 + 4 = 8 \\ 2 \times 8 = 16[/tex]

a store have a 12.7% discount on $2002 furniture. what is the new price

Answers

Answer:

$1,747.75

Step-by-step explanation:

(12.7% = 0.127)

$2,002 x 0.127 = 254.25

$2,002 - 254.25 = $1,747.75

Graph
-2(3x+4)(x-1)(x-3)^2

Answers

Answer:

Step-by-step explanation:

the difference of 16 and 2 divide by 7
make the equation ​

Answers

Answer:

(16-2)/7

Step-by-step explanation:

16-2=14

14/7=2

Equation: (16-2)/7

The difference of 16 and 2 divide by 7 gives result 2 and required equation is x = (16 - 2) / 7.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given numbers are 16, 2 and 7.

Let the difference of 16 and 2 divide by 7 gives result x,

The equation for the  difference of 16 and 2 which is 14, divide by 7.

x = (16 - 2) / 7

The equation x = (16 - 2) / 7 can be simplified as,

The difference between 16 and 2 = 16 - 2 = 14

x = 14 / 7 = 2.

The required equation is x = (16 - 2) / 7 and simplified answer is 2.

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PERSON WHO GETS RIGHT ILL GIVE BRAINLIEST! Which values from the given replacement set make up the solution set of this inequality? 3s>12; {4, 5, 6, 7}


{4}

{4, 5, 6}

{4, 5}

{5, 6, 7}

Answers

Answer:

{5,6,7}

Step-by-step explanation:

3s>12

divide by 3 on both sides and you get

s>4

so {5,6,7} is the only one that works since it needs to be greater than 4

sorry if I replied too late, but I hope this helps

Trinity earns 8 dollars working at a local supermarket and 6 dollars per hour babysitting

Answers

Answer: so 14 dollars in total

Step-by-step explanation:

Answer: Based on the current non-complete question, the answer Trinity earned $14.

Step-by-step explanation: 8 + 6 = 14.

Hello I need help with this math it’s negative fractions so -7 1/5 - (-2/5)

Answers

Answer:

-36/5

- . 2/5-=+2/5

-36/5+2/5

34/5 or 6 4/5

A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week

Answers

128 Bales of hay

Step-by-step explanation:

Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128

X 2

___

128

references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.

Kinetic energy is the energy acting on a moving object for example a ball when you roll it then gets kinetic energy sorry if this is wrong

Mr. Herman's class is selling candy for a school fundraiser. The class has a goal of raising $500 by selling c
boxes of candy. For every box they sell, they make $2.75.
Write an equation that the students could solve to figure out
how many boxes of candy they need to sell.

Answers

500 = 2.75c


500 is your total, 2.75 represents the price of a singular box, and c is how many boxes sold.


Hope this helps!

Answer:

500=2.75c

Step-by-step explanation:

500= 2.75c

Isolate c by dividing 2.75 on each side

500/2.75 =181.818181818 which is about 181.8

So the students need to sell about 181.8 boxes of candy in order to reach their goal of $500.

Huilans age is two times Thomas’s age. The sum of their ages is 42. What is Thomas’s age?

Answers

Answer:

14

Step-by-step explanation:

14+28=42, 28/14=2

14 ,, 42/3 !! this is the correct way !

2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3

Answers

Answer:

C

Step-by-step explanation:

CAN YOU PLS HELP MEEEE

Answers

Answer:

10x−2y

Step-by-step explanation:

Just ask!

Hope this helps. :)

[tex] \: \: \: \: \: \: [/tex]

[tex]10x - 2y[/tex]

Step-by-step explanation:

[tex]8x - 2y + x + x[/tex]

Collect like terms

[tex] = \: \: \: \: 10x - 2y[/tex]

hope it helps

The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER

Answers

Answer:

Step-by-step explanation:

The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.

HOPE THAT HELP YOU

A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?

Answers

The cart slows that at the rate of 20cm/s between 5 and 15secs

Given the rate function expressed as:

r(t) = 2t + 60

If the time is t = 5

r(5) = 2(5) + 60

r(5) = 70cm/s

If the time is t = 15

r(15) = 2(15) + 60

r(15) = 90cm/s

Taking the difference in rate;

Difference = 90cm.s - 70cm/s

Difference = 20cm/s

Hence the cart slows that at the rate of 20cm/s between 5 and 15secs

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What is the slope of the line?

Answers

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

Pick two points on the graph: (4, -5) and (1, -3)

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]

[tex] = \frac{ - 5 + 3}{3} [/tex]

[tex] = - \frac{2}{3} [/tex]

Sumas y restas de polinomios

Answers

Creo que es -13/2 -35y/4

pleaseeeeeeeee help me

Answers

Answer:

2⁴ = 16

Step-by-step explanation:

Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1).

Answers

Answer:

0.14479638

Step-by-step explanation:

Because 2 cards out of 52 are drawn without replacement, hypergeometric probability distribution should be used. Hence,

Combination of drawing 1 ace of 4 total aces C(4,1)

Combination of drawing 1 non-ace of 48 total non aces C(48,1)

Combination of drawing 2 cards of total 52 cards C(52.2)

C(4,1) = 4, C(48,1) = 48, C(52,2) = 1326

4*48/1326 = 0.14479638

the sum of three consecutive even numbers is 42. what is the smallest of these numbers

Answers

Explanation :-

Let's assume the lowest integer be x.Then the next integer x+2 (since our integers need to be even) and the third integer x+4.

[tex]\qquad[/tex]____________________

It’s given

The sum of three consecutive even numbers is 42.

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow {x+( x +2)+(x+4) = 42} }[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x +6 =42[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x = 42-6[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow 3x =36[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow x = \cancel {\dfrac{36}{3}}[/tex]

[tex]\qquad[/tex][tex]\pink{ \bf\longrightarrow x = 12}[/tex] ( which is our lowest integer.)

The smallest of these numbers is 12. And the next two integers we find with 12+2=14 and 12+4=16.

[tex]\qquad[/tex]____________________

Given :

Sum of three consecutive even numbers is 42. We are to find the smallest of the smallest consecutive even number.

[tex] \: [/tex]

Solution :

Let us assume the three consecutive even numbers be "x" , "(x + 2)" and "(x + 4)" . Here x is the smallest number .

So,

According to the Question :

x + (x + 2) + (x + 4) = 42

⇢x + x + 2 + x + 4 = 42

⇢ x + x + x + 2 + 4 = 42

⇢ 3x + 6 ⠀⠀⠀⠀⠀ = 42

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 42 - 6

⇢ 3x ⠀⠀⠀⠀⠀⠀⠀⠀= 36

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀= 36/3

⇢ x ⠀⠀⠀⠀⠀⠀⠀⠀ = 12

Hence, 12 is the smallest consecutive even number.

Please help me! No links, cheaters, or rude comments please!

Answers

Answer:

hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose

Step-by-step explanation:

Answer:

a and d is correct I did the test and got 100 .

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

Select the correct answer.
The function Fx) = sin(x) is graphed on the domain (0,2*pie). Which statement is true about its leftmost point, where x =0 ?

A. The point is minimum
B. The point is maximum
C. The point is between an x-intercept and a maximum
D. The point is an x intercept

Answers

Answer:

D. The point at x = 0 is x-intercept itself.

Step-by-step explanation:

First, substitute x = 0 in f(x) = sin(x) and examine the point and values.

When x = 0, sin(0) = 0.

Hence, the point is (0,0) which is an origin point. It is both x-intercept and y-intercept at the same time.

The point at x = 0 is neither maximum nor minimum since the range of some function is defined in [-1,1] so the minimum value has to be -1 and the maximum value has to be 1.

Thus, A and B are not correct choices.

The C choice would make sense if the value of f(x) did not become 0 when substituting x = 0 in.

Therefore, the correct choice is D as it is an origin point at x = 0 meaning it is both x-intercept and y-intercept.

Answer: D is Correct on edmentum/plato

Step-by-step explanation:

Find the measure of the angle marked and indicated in bold

Answers

Each angle that is opposite is the same measurement and if a circle has 360 then you just have to subtract

Which statement BEST describes how the graph of g(x) = – 3x2 compares to the graph of f(x) = x2 ?


A
The graph of g(x) is a reflection of f(x) across the x-axis.
B
The graph of g(x) is a vertical shrink of f(x) by a factor of 1/3 and a reflection across the x-axis
C
The graph of g(x) is a vertical stretch of f(x) by a factor of 3.
D
The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answers

The transformations of f(x) are (d) The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

How to describe the transformation from the parent function?

From the question, we have the following function that can be used in our computation:

f(x) = x²

g(x) = -3x²

Mathematically, these equations can be represented as

g(x) = -3f(x)

The above equations implies that, we have the transformation to be:

The 3 implies that the function f(x) is vertically stretch by a factor of 3The - implies that it is reflected across the x-axis

Hence, the transformed function is (d)

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