Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.

A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet

Answers

Answer 1

The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A

The diagram for the question is shown as described in the question in the attachment below.

From the diagram,

Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C

/AG/ = 1200 feet

/AG/ = /BD/ = 1200 feet ( as shown in the diagram)

The distance between the two balloons is equal to /GD/

Also, from the diagram, /GD/ = /GC/ + /CD/

To find /GC/,

Consider ΔAGC

/AG/ = 1200 feet

/GC/ = ?

From the question, "Balloon A has risen at a 56° angle"

∴ x° = 56°

Using the formula

[tex]tan(x^{o} ) = \frac{/AG/}{/GC/}[/tex]

[tex]tan(56^{o}) = \frac{1200}{/GC/}[/tex]

[tex]/GC/ = \frac{1200}{tan(56^{o}) }[/tex]

/GC/ = 809.41 feet

To find /CD/

Consider ΔBCD

/BD/ = 1200 feet

/CD/ = ?

From the question, "Balloon B has risen at a 81° angle"

∴ y° = 81°

Using the formula

[tex]tan(y^{o} ) = \frac{/BD/}{/CD/}[/tex]

[tex]tan(81^{o}) = \frac{1200}{/CD/}[/tex]

[tex]/CD/ = \frac{1200}{tan(81^{o}) }[/tex]

/CD/ = 190.06 feet

Now, recall that /GD/ = /GC/ + /CD/

∴ /GD/ = 809.41 feet + 190.06 feet

/GD/  = 999.47 feet

/GD/ ≅ 999 feet (to  the nearest whole number)

Hence, the distance between the two balloons is 999 feet

Balloon B is 999 feet from balloon A.

Learn more here: https://brainly.com/question/15979174

Charlie Is Watching Hot Air Balloons. Balloon A Has Risen At A 56 Angle. Balloon B Has Risen At An 81
Answer 2

Answer:

999 Units

Step-by-step explanation:


Related Questions

Instructions: Determine whether the following polygons are similar. If yes, type in the similarity statement and scale factor. If no, type 'None' in the blanks.


Similar: _____

Similarity Statement: ____ ∼ ____

Scale Factor: _____

Answers

Answer:

The polygons are not similar..

Step-by-step explanation:

We have given the two polygons which are parallelogram with the opposite sides 10.4 units, 3.74 units, 4 units and 1.7 units

For the polygons to be similar, ratios of both the polygons must be equal.

Lets check whether the two polygons are equal or not.

10.4/3.74 = 2.78

4/1.7 = 2.35

Therefore it is proved that both the polygons are not similar because both these ratios are not equal....


Hello, i need help with this question please!

solve x/2 +3 > 4

Answers

Answer:

x >2

Step-by-step explanation:

x/2 +3 > 4

Subtract 3 from each side

x/2 +3-3 > 4-3

x/2 >1

Multiply each side by 2

x/2*2 >1*2

x >2

Answer:

x > 2

Step-by-step explanation:

A linear inequality is given to us and we need to find the interval of x. The given inequality is

⇒ x/2 + 3 > 4

Subtract 3 to both sides,

⇒ x/2 + 3 - 3 > 4 -3

⇒ x/2 > 1

Multiply both sides by 2 ,

⇒ x > 2

Hence x can have all values more than 2 .

Do number 7 plz finding QR​

Answers

Answer:

QR = sqrt(147)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

7^2 + QR^2 = 14^2

49 + QR^2 = 196

QR^2 = 196-49

QR^2 = 147

Taking the square root of each side

QR = sqrt(147)

odd number more than 100 are empty,unit,finite,or,infinite​

Answers

odd numbers more than 100 are infinite.

Use the quadratic formula to find the solutions to the quadratic equation below. Check all that apply. 4x2-x-5 = 0
a.-1
b.-4/5
c.2/3
d.1
e.5/4
f.3/2​

Answers

Answer:

a. -1

e. 5/4

Step-by-step explanation:

Hi there!

The quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex] where the given quadratic is in the form [tex]ax^2+bx+c=0[/tex]

From the given equation [tex]4x^2-x-5 = 0[/tex], we can identify the values of a, b, and c:

a=4

b=-1

c=-5

Plug these values into the quadratic formula:

[tex]x=\frac{-(-1)\pm\sqrt{(-1)^2-4(4)(-5)}}{2(4)}\\x=\frac{1\pm\sqrt{81}}{8}[/tex]

[tex]x=\frac{1\pm9}{8}[/tex]

[tex]x=\frac{1+9}{8}= \frac{5}{4} \\x=\frac{1-9}{8} = -1[/tex]

Therefore, the solutions to the quadratic are 5/4 or 1.

I hope this helps!

I need help with this ​

Answers

Answer:

D.

Step-by-step explanation:

According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.

From the side lengths given, the following satisfies the Pythagorean triple:

5² + 12² = 13².

Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.

I’m so bad at this pls-

Answers

Answer:

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2} [/tex]

Hope it is helpful....
5/2 would be your answer

8P + 2 > 3P - 15

solve for p

Answers

Answer: p >-17/5

Step-by-step explanation:

Answer:

P = [tex]\frac{-17}{5}[/tex]

Step-by-step explanation:

Substract 3P from both sides:

5P  + 2 >  - 15

Subtract 2 from both sides:

5P > -17

Divide both sides by 5:

P = [tex]\frac{-17}{5}[/tex]

A popular pain-relieving drug has 100mg of its active ingredient in one capsule. If a bottle has 100 capsules, how many grams of the active ingredient are in the bottle

Answers

Answer:

1000

Step-by-step explanation:

On a piece of paper graph y ≤ - 2x. Then determine which answer matches the graph you drew ?

Answers

Answer:

hope it helps

Step-by-step explanation:

The given inequality is

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

At x=0,

At x=1,

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

    (True)

     (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

   (False)

  (False)

The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ y ≤ - 2x

Now, We can find the solution of the inequality as;

We know that;

The points are satisfy the inequality are called solution of the inequality.

Hence, By option A;

Points are,

(-2, 4) and (3,- 6)

Put x = - 2, y = 4;

⇒ y ≤ - 2x

⇒ 4 ≤ - 2 x - 2

⇒ 4 ≤ 4

Which is true.

Put x = 3, y =  - 6;

⇒ y ≤ - 2x

⇒ -6 ≤ - 2 x 3

⇒ - 6 ≤ - 6

Which is true.

Hence, The correct answer for the inequality is,

⇒ (-2, 4) (3,- 6)

Learn more about the inequality visit:

https://brainly.com/question/25944814

#SPJ7

Complete question is,

On a piece of paper, graph y≤ -2x.Then determine which answer matches the graph you drew.

A.(-2,4) (3,-6)

B.(-2,4) (1,2)

C.(-2,-6) (1,3)

D.(-2,-6) (1,3)

find the constant of variation k for the direct variation. 4x = -y

Answers

Answer:

k = - 4

Step-by-step explanation:

The equation representing direct variation is

y = kx ← k is the constant of variation

Given

4x = - y ( multiply both sides by - 1 )

- 4x = y , that is

y = - 4x ← in standard form

with k = - 4

Q: The value of
[tex] \sqrt{3 - 2 \sqrt{2} } [/tex]
is:->

(a)
[tex] \sqrt{2 } - 1[/tex]

(b)
[tex] \sqrt{2} + 1[/tex]

(c)
[tex] \sqrt{3} - \sqrt{2} [/tex]

(d)
[tex] \sqrt{3} + \sqrt{2} [/tex]

Answers

Answer:

A

Step-by-step explanation:

[tex]\sqrt{3-2*\sqrt2}=\sqrt{(\sqrt2)^2-2\sqrt2*1+1^2}=\sqrt{(\sqrt2-1)^2}=\sqrt2-1[/tex]

the sum of the digits of a two digit number is 5. If nine is subtracted from the number it will equal the reversed number. FIND THE EQUATION!! PLEASE!

Answers

Answer:

D

Step-by-step explanation:

Which point is the vertex of the angle below?

Answers

Answer:

C.I

Step-by-step explanation:

vertex is always the center point if that makes any sense

There are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes. how many boxes are there all together?

Answers

Answer:

There are 51 boxes all together.

Step-by-step explanation:

Since there are three separate, equal-size boxes, and inside each box there are four separate small boxes, and inside each of the small boxes there are three even smaller boxes, to determine how many boxes are there all together, the following calculation must be done:

3 + 3 x 4 + 3 x 4 x 3 = X

3 + 12 + 36 = X

51 = X

Therefore, there are 51 boxes all together.

Which number can be written on the line to make the inequality true?
3.91 < ___ < 4.23 < 4.44

a) 3.7
b) 3.9
c) 4.1
d) 4.3

Answers

Answer:

[tex]3.7[/tex]

Step-by-step explanation:

[tex]3.9 < 3.7[/tex]

Answer:

answer is A

3.7

Step-by-step explanation:

Simplify 7a – 11b + 4ab – 6a + 5b.

Answers

7a-6a-11b+5b+4ab
=a-6b+4ab
Final answer

Please helpppp very confused

Answers

Answer:

the second one

step by step explanation:

1. if you have - and -, when you combine it becomes +

Answer:

si tu no sabes menos yo

Step-by-step explanation:

I need help with this​

Answers

Answer:

A.

Step-by-step explanation:

Twust me n' dwont doubt me

A is for apple

And cause A looks like ABC

DWUHHH

Using the Time Series Data for the US Nuclear Electric Power Production, calculate the exponential smoothing forecasts for 2005 through 2010 using alpha equals 0.2. Find the forecast error for each time period. If there is n

Answers

Answer:

????????????

I don't know

How many different license plates are possible if each contains 4 letters (out of the alphabet's 26 letters) followed by 2 digits (from 0 to 9)? How many of these license plates contain no repeated letters and no repeated digits? There aredifferent possible license plates. (Simplify your answer.) There are different possible license plates if no letters or numbers are repeated. (Simplify your answer.)

Answers

Answer:

There are 45,697,600 different possible license plates. If no letters or numbers are repeated, there are 32,292,000 possible license plates.

Step-by-step explanation:

For the first question, we can repeat letters and digits.

Let [tex]\ell[/tex] represent a letter and [tex]#[/tex][tex]\#[/tex] represent a digit. The license plate format given is:

[tex]\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{n}\:\:{\underline {n}[/tex]

For each letter, there are 26 letters to choose from (alphabet). For each digit, there are 10 numbers to choose from (0-9).

Since we're choosing 4 letters and 2 numbers, the number of possible license plates is:

[tex]26\cdot 26\cdot 26\cdot 26\cdot 10\cdot 10=\boxed{45,697,600}[/tex]

If we stipulate that no letter or digit may be repeated, then we'll still have 26 choices for the first letter, but for the second letter, we'll only have 25. Then 24, 23, and so on. Similarly, for the first digit, there will be 10 choices, then 9, 8, and so on.

Therefore, the desired answer for the second part of the question is:

[tex]26\cdot 25\cdot 24\cdot 23\cdot 10\cdot 9=\boxed{32,292,000}[/tex]

*Note that we don't need to account for rearrangements as [tex]HOCL67[/tex] and [tex]CLHO76[/tex] are considered different license plates (order matters).

Hope one can assist me!
I will rate you five star if answer is right with step by step explanation.

Answers

Answer:

WZY=170°

XYZ=60°

Step-by-step explanation:

Straight line, so WZY=180-10=170

Angles in a quadrilateral add to 360°, so:

100+30+170=300

360-300=60

XYZ=60°

Answer:

170° and 52°

Step-by-step explanation:

∠ WZY and ∠ YZA are adjacent angles and sum to 180° , that is

∠ WZY + 10° = 180° ( subtract 10° from both sides )

∠ WZY = 170°

The sum of the angles in a quadrilateral = 360°

sum the angles and equate to 360

∠ XYZ + 170° + 38° + 100° = 360°

∠ XYZ + 308° = 360° ( subtract 308° from both sides )

∠ XYZ = 52°

find the x – intercepts of the graph of the function f(x) = x2 – 2x + 1

A) (1,0)
B) (-1,0)
C) (0,-1)
D) (0,1)

PLEASE HELP ME ITS URGENT , WILL MARK AS BRAINLIEST!!!

Answers

Answer:

[tex]\boxed{\sf A) ( 1,0) }[/tex]

Step-by-step explanation:

A quadratic function is given to us and we need to find the x Intercept of the graph of the given function . The function is ,

[tex]\sf \implies f(x) = x^2 -2x + 1 [/tex]

For finding the x intercept , equate the given function with 0, we have ;

[tex]\sf \implies x^2 -2x + 1 = 0 [/tex]

Split the middle term ,

[tex]\sf \implies x^2-x-x+1=0[/tex]

Take out common terms ,

[tex]\sf \implies x( x -1) -1( x -1) = 0[/tex]

Take out (x - 1 )as common ,

[tex]\sf \implies (x - 1 )(x-1) = 0[/tex]

Equate with 0 ,

[tex]\sf \implies x = 1,1 [/tex]

Therefore the root of the function is 1. Hence the x Intercept is (1,0)

Hence the x Intercept is (1,0) .

Step-by-step explanation:

x² - 2x + 1 = 0

x² - (x + x) + 1 = 0

x² - x - x + 1 = 0

x(x - 1) - 1(x - 1) = 0

(x - 1)(x - 1) = 0

x = 1

Hence,

Option A

Use the substitution method to solve the system of equations below.

y = 3x − 2x + 8y = −22

Answers

y=3x-2x+8y=-22
y=x+8y=-22
y=-22
x+8y=-22
x+8(-22)=-22
x=154
Solution:(154,-22)
I did this before it’s (154,-22)

Find the following images in width and circumference

Answers

Step-by-step explanation:

hey guys how do you put a picture like you did ?

Write the equation of a line in slope-intercept form that has a slope of 3/4 and passes through the point (-4, 1).


y equals 0.75 x plus 4


y equals 4 x plus 0.75


y equals minus 4 x plus 1


y equals 0.75 x plus 1

Answers

Answer:

y = 3/4 x + 4

y equals 0.75 x plus 4

Step-by-step explanation:

y = 3/4 x + b

1 = 3/4 (-4) + b

1 = -3 + b

b = 4

Answer:

A) y equals 0.75 x plus 4

Step-by-step explanation:

Another way to solve this to use the point-slope form:

y - y₁ = m(x - x₁)

Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:

y - 1 = 3/4(x - (-4))y - 1 = 3/4x + 3y = 3/4x + 4y = 0.75x + 4

Correct choice is A

Which graph represents y = |xl?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.

Answer:

B.

Step-by-step explanation:

I got it correct on the warm up

The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.

4th of July ($000) Fall Festival (000)
10.6  8.8
 8.5  6.4
12.5 10.8
 9.0 10.2
 5.5   6.0
12 11.1
 8.0   7.5
 7.5   8.4
 9.0   9.5
10   9.8
 7.5   6.6
10 10.1
 6.0   6.1
12 11.3
10.5   8.8

Required:
Determine the regression equation. Is the amount spent on fireworks related to attendance at the Fall Festival? Conduct a hypothesis test to determine if there is a problem with autocorrelation.

Answers

Answer:

The complete question and its solution in the attached file please find it.

Step-by-step explanation:

Perimeter (numerical)

Answers

Answer:

270 m

Step-by-step explanation:

Add up all the sides

P = 19 +18.8+18.8 +18.8+18.8+40.8+19+40.8+18.8+18.8+18.8+18.8

P = 270 m

construct an angle that bisect 120°​

Answers

Answer:

just make a 120 angle and divide it by 2, 60.

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