A long string with a balloon at the end was tied to the ground. After a breeze came up, the balloon was 55 feet to the right of where it was tied and 30 feet above the ground, as shown in the figure below. What is the slope of the line between the balloon and the point where it was tied?

Answers

Answer 1

Answer:

The slope is 0.55

Step-by-step explanation:

Right Triangles

The string, the ground, and the height of the balloon form a right triangle where the trigonometric ratios are satisfied.

The image below shows the geometric construction. We are required to find the slope the string forms with the ground.

It can be found by using the tangent ratio:

[tex]\displaystyle \tan\theta=\frac{y}{x}[/tex]

Substituting y=30 and x=55

[tex]\displaystyle \tan\theta=\frac{30}{55}[/tex]

[tex]\displaystyle \tan\theta=0.55[/tex]

The slope is 0.55


Related Questions

Solve for X please help I need this asap

Answers

Answer:

f

Step-by-step explanation:

fgbdf

Answer:

x=3

Step-by-step explanation:

They are isosceles triangles and angle 2=56.  

56=53+x

x=3

A $4 sales tax is charged for a $50 purchase. At this rate, what is the sales tax for a $1200 purchase?

Answers

Answer:

$96

Step-by-step explanation:

An equation for the line whose slope is 4 and which passes thorough the point (-5,3)

Answers

Answer:

y = 4x + 23

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23[/tex]

The equation of the line is required.

The equation of the line is [tex]y=4x+23[/tex]

Equation of line

[tex]m[/tex] = Slope of line = 4

Point = [tex](-5,3)[/tex]

[tex]x_1=-5[/tex]

[tex]y_1=3[/tex]

Equation of a line is given by

[tex]y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23[/tex]

Learn more about equation of line:

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Evaluate each expression by replacing the variable with 8. Show each step. (8 marks) 2n - 6

Answers

Answer:

10

Step-by-step explanation:

2n-6

n=8

2(8)-6

16-6

10

CAN U PLZ HELP MEE DONT SCROLL DOWN ILL GIVE BRAINLLEST PLZ PLZZZZ

Answers

Answer:

75.4

Step-by-step explanation:

v = pi * r^2 * h

v = 3.14 * 4 * 6

v= 3.14 * 24

v= 75.36 m^3

to the nearest tenth is 75.4 m^3

$299 tv with 15% discount

Answers

The answer is 254. You want 299 with 15% off

Answer:

254.15 dollars you would have to pay.

Help me!will give brainliest: how do I graph it

Answers

Answer:

Step-by-step explanation:

follow that

Answer:

start at 7 on the y axis the then go down two

Step-by-step explanation:

next 5 points in your graph:

(5,1)

(3,2)

(1,3)

(-1,4)

(-3,5)

brainliest would be appriciated

can someone help me please?

Answers

Answer:

(0,4) and (-4,0)

Step-by-step explanation:


2 math question please help me 30 point

Answers

Answer:

1. B: 12 BB 18 FB,, 2.

Step-by-step explanation:

1. make the equation (198 + 33x) + 24x = 882 because there are a certain number of each ball (x) and 6 more footballs. since each football is 33 dollars, you do 33 x 6 which is 198, and then keep 33x and 24x. It is all equal to 882 since that is the final price. First, you subtract 198 on each side and combine the like terms (33x + 24x). Now it is 684= 57x and you divide 684 by 57, which equals 12. That means that there are 12 basketballs and 12 + 6 footballs, which is 18.

2. You cannot solve the problem or do any problem without distributing first. I'm unsure how else to explain it.

The function d = 8f + 24 represents the monthly cost d (in dollars) of a group of f members joining the fitness club. a. Identify the independent and dependent variables (don’t say f and d).

Answers

Answer:

D represents the dependent variable: the monthly cost in dollars is your independent variable

F represents the independent variable: the number of members joining the fitness club

Step-by-step explanation:

The amount of money depends on how many members come and join the fitness club because more money is spent more with more members

can someone please help me find out what LN and KN is

Answers

Answer:

LN= 3,9

KN=-2,9

Step-by-step explanation:

its that answer because on the number lime L is 3 and N is 9 and K is -2

Write a quadratic equation in standard form that has two solutions, -7 and -8

Answers

The standard form is ax² + bx + c = 0. We could write:

(x + 7 )(x + 8)

x²+8x+7x+56

x² + 15x + 56  → Answer

If x=16 And y=625 then find (2√x+y)^2

Answers

Answer:

400689

Step-by-step explanation:

(2√x+y)²

(2√16+625)²

(2.4+625)

(8+625)²

(633)²

400689

7. The ratio of width to length of the United States flag is 10:19.
If the width of the flag at Emersen's school is 4 feet, what is its length in feet?

Answers

2 2/19 feet because 19x=4
X=4/19
10x=10x4/9
40/19

what is the steps for this (-11)(-9)(-14) ​

Answers

Answer:

Here's ur ans buddy...PLZ mark it as brainliest ✌️✌️✌️

Step-by-step explanation:

[tex]( - 11)( - 9)( - 14) \\ ( - 20)( - 14) \\ ( - 34)[/tex]

what are three types of transformations of linear functions?
PLEASE HELP

Answers

the three are translation, reflection, compression or stretch

Answer:

Translation, refelction, stretch/compression. :D

Step-by-step explanation:

find an equation for line L

Answers

Answer:  y = 4

Explanation:

Line L is the horizontal line. Any point on this line has y coordinate y = 4, so the equation is simply y = 4.

You could say the equation is y = 0x+4, which shows the slope is 0. But I think y = 4 is the better answer.

What is the solution of the equation:
[tex] \sqrt{5 - 2x } = 3i[/tex]

O 1
О 4
O 7
О -2​

Answers

7
Because 5-2 is seven so x =7

ba. Finish the statement: If two lines are parallel, then their slopes are?

Answers

Answer:

If two lines are parallel, then their slopes are equal.

(help asap!!!!) Wyatt is 6 years older than 2 times the age of his nephew. Wyatt is 32 years old. How old is his nephew?

Answers

Answer:

His nephew is 13

Step-by-step explanation:

Reverse the given process,

32 - 6 = 26,

26 ÷ 2 = 13,

The answer is 13.

Answer:

13

Step-by-step explanation:

13 times 2 plus 6 is 32

write an equation that is perpendicular to x - 3y =3 and passes through the point (5,-9) in slope-intercept form.

Answers

9514 1404 393

Answer:

  y = -3x +6

Step-by-step explanation:

The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.

The equation will look like ...

  x -3y = 3 . . . . . . . . . . . . . given line

  3x +y = constant . . . . . . perpendicular line

where "constant" can be found by substituting for x and y.

  3x +y = 3(5) +(-9)

  3x +y = 6 . . . . equation in standard form

To put this in slope-intercept form subtract 3x:

  y = -3x +6

tatiana earns money by babysitting her little cousin. when she babysits for 7 hours she earns 94.50. which equation represents her total wages based on the hours that she works?

answers:
y=2x
y=7x
y=27x
y=13.50x

Answers

Answer:

y=13.50x

Explanation:

94.50/7 = 13.5

hold on i think im  wrong who knows sorry

What is the slope of the line on the graph below

Answers

b) 2/1
find a point, you go up 2 and then over 1!
hope this helps, feel free to mark brainliest!!

Answer:

2

Step-by-step explanation:

Pick any point

You go up 2 and 1 over

2/1 is the same as 2 just simplified!

Just need 15 and 16 help will mark as brainliest answer

Answers

Behind that one that 2 that 3 00000 break it down chop it up 2 a half 2 a whole

Answer:

15. 12, 16. 18

Step-by-step explanation:

a = pi*r^2

15) 36pi = pi*r^2 --> 36 = r^2 --> 6 = r --> 12 = d

16) 81pi = pi*r^2 --> 81 = r^2 --> 9 = r --> 18 = d

What is the irs ? In math

Answers

Answer: What is the IRS's math error authority? Congress has granted the IRS “math error authority,” which allows the IRS to make certain summary adjustments to a taxpayer's return. If the changes lead to a greater amount of tax, the IRS would make an assessment.

a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?​

Answers

Answer:

y = 1/3x -2

Step-by-step explanation:

the equation for slope intercept form is y= mx + b.

m is the slope and b is where the line crosses the y-axis which is called the y-intercept.

to find the y-intercept plug in a coordinate on the line (6,0)

0 = 1/3(6) + b

then solve for b by first multiplying 1/3 by 6

0 = 2 + b

subtract 2 from both sides

-2 = b

and then you can plug b into the equation

y = 1/3x - 2

can someone help me !

Answers

Answer:

Your answer is 3 100000000000% i did the math lol

Step-by-step explanation:

If the coordinates of point E are (-4, y), what is the value
of y?
O -8
O -4
O0
O8

Answers

-4 of course .........

The value of y is -8

What is slope of the line?

"The slope of tee line passing through points [tex](x_1,y_1),(x_2,y_2)[/tex] is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]"

What is y-intercept?

"The point at which the graph intersects the Y-axis."

What is slope intercept form of the line?

"y = mx + c, where m is the slope of the line and c is the Y-intercept."

For given question,

We have been given the graph of a line.

From the graph, we can observe that the line is passing through the points (4, 4) and (-6, 0)

Using slope formula the slope of the line would be,

[tex]\Rightarrow m=\frac{4-(-6)}{4-0}\\\\\Rightarrow m=\frac{10}{4}\\\\\Rightarrow m=\frac{5}{2}[/tex]

Also, the line intersects y-axis at y = 2

This means the y-intercept is c = 2

Using the slope-intercept form of the line the equation of the line would be,

[tex]y=mx+c\\\\y=\frac{5}{2}x+2[/tex]

Point E(-4, y) lies on the given line.

So, this point satisfies the equation of the line.

[tex]\Rightarrow y=\frac{5}{2}(-4)+2\\\\ \Rightarrow y=-10+2\\\\\Rightarrow y=-8[/tex]

Therefore, the value of y is -8

Learn more about the equation of the line here:

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Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.


I dont understand this​

Answers

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

To learn more about equation :

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Jesse uses the function f(x) = 0.25x + 20 to calculate her phone bill each month, in dollars, where x is the number of minutes she uses. What does 0.25 represent?​

Answers

Answer:

c hope this helps!

Step-by-step explanation:

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