Patty Cake and Jim Nasium are flying a kite. Patty is 200 m away from Jim who is holding the kite. Facing Jim, Patty finds the angle of elevation of the kite is 40 degrees . If the kite string makes an angle of 85 degrees with the ground, find the amount of string let out by Jim.

Patty Cake And Jim Nasium Are Flying A Kite. Patty Is 200 M Away From Jim Who Is Holding The Kite. Facing

Answers

Answer 1

Answer:

Amount of string let out by Jim will be 156.9 m.

Step-by-step explanation:

Distance between Jim and Patty = 200 m

Angle of elevation of the kite from Jim = 85°

Angle of elevation of the kite from Patty = 40°

Angle between the lines joining Jim and kite and Patty and the kite = 180° - (85 + 40)° = 55°

By applying Sine rule in the triangle formed by the kite, Jim and Patty,

[tex]\frac{\text{sin}55}{200}=\frac{\text{sin}40}{x}[/tex]

x = [tex]\frac{200\times \text{sin}40}{\text{sin55}}[/tex]

x = 156.94

  ≈ 156.9 m

Therefore, amount of string let out by Jim will be 156.9 m.


Related Questions

What’s the polynomial for this?

Answers

Answer:

it might be trinomial if not maybe its monomial hope it helps ;/

Step-by-step explanation:

The expression f(x) = x^2 + 18x + c and g(x) = x^2 - x + d are perfect - square trinomials. What is the value of g(0) - f(0)?

Answers

Answer:

0

Step-by-step explanation:

This is because any number that is plugged in is going to be multiplied by 0. Anything multiplied by 0 is 0. Lastly, 0-0=0, which brings you to your final answer.



Simplify fully
6x2 +x–1 4x2 – 1

Answers

Answer:

​3x−1

Step-by-step explanation:

1 Split the second term in 6{x}^{2}+x-16x

​2

​​ +x−1 into two terms.

\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}

​4x

​2

​​ −1

​6x

​2

​​ +3x−2x−1

​​  

2 Factor out common terms in the first two terms, then in the last two terms.

\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​3x(2x+1)−(2x+1)

​​  

3 Factor out the common term 2x+12x+1.

\frac{(2x+1)(3x-1)}{4{x}^{2}-1}

​4x

​2

​​ −1

​(2x+1)(3x−1)

​​  

4 Rewrite 4{x}^{2}-14x

​2

​​ −1 in the form {a}^{2}-{b}^{2}a

​2

​​ −b

​2

​​ , where a=2xa=2x and b=1b=1.

\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}

​(2x)

​2

​​ −1

​2

​​  

​(2x+1)(3x−1)

​​  

5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a

​2

​​ −b

​2

​​ =(a+b)(a−b).

\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}

​(2x+1)(2x−1)

​(2x+1)(3x−1)

​​  

6 Cancel 2x+12x+1.

\frac{3x-1}{2x-1}

​2x−1

​3x−1

​​  

I do not know how to go at this question Halp!!!!

Answers

Answer:

I think

all the rectangle in the shape u have to find the area of the rectangle

55×55 for each rectangel \ l ×W

now do the squares

25×25 for each rectangle

now when u got all the sides add them up

Which statement is true about exterior angles easy

Answers

Answer:

answer 1: It forms a linear pair with one of the interior angles of the triangle

Step-by-step explanation:

The sum of an exterior angle and its adjacent interior angle is 180 degrees.

Also, linear pair of angles are supplementary.

If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side? Show your work.

Answers

Answer:

The length of the missing side is 12.

Step-by-step explanation:

When you solve this, you do 5^2 + b^2 = 13^2

and solve for b. 25 + b^2 = 169

169 - 25 = 144

[tex]\sqrt{144[/tex] = 12

When you check your work, 5^2 + 12^2 = 13^2

25 + 144 = 169

If you have the right triangle, then you can label the longer side with 13, and label the leg 5. the you solve for the other leg. That's how Pythagorean Theorem is used in this context.

I hope this helped. I'm not the best at explaining math.

2x2 + 7x + 3 = 0 i need help

Answers

Answer:

[tex]x=-\frac{1}{2},-3[/tex]

Step-by-step explanation:

Answer:x=-3,-1/2

Step-by-step explanation:

Multiply 2and 3=6

Multiples are 6an1

2x2+x+6x+3=0

X(2x+1)+3(2x+1)=0

(X+3)+(2x+1)=o

X+3=0 x=-3

2x+1=0 x=-1/2

Juan bought a MP3 player for $45 after a 15% discount.

Answers

Answer:

Find the exact value using trigonometric identities. a MP3, 45, 0.15

Step-by-step explanation:

so your answer is $45.15 that is how much it was before the discount :)

Answer:

$8.25

Step-by-step explanation:

discount = x

original price = $45.00

discount% = 15%

x/45 = 15/100

x · 100 = 15 · 45

100x = 675

100x/100 = 675/100

x = 6.75

Sale price = 15 - 6.75 = 8.25

Which expression is equivalent to - 32 ^ (3/5)

Answers

The answer is -8

This was too easy

can you solve 4 .b)​

Answers

Answer:

yhyhyhyh rashford gonna score a hat trick vs spurs

Step-by-step explanation:

Someone help me with #2 and #3

Answers

Answer:‍✈️‍✈️?

Step-by-step explanation:

Answer:

#2=-.05 #3=8

Step-by-step explanation:

use pemdas correctly and you will always get the right answer

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

6

Step-by-step explanation:

f(6) = -6   this is the value when the x value is 6

g(5) = -5 this is the value when the x value is 5

4 * f(6) -6*g(5)

4*-6 - 6* -5

-24 + 30

6

Answer:

6

_____________________

Solve.
2x -3 > 23
Drag answer here
2x - 3 > 3x -1
Drag answer here
5x - 4 < 21
Drag answer here
x>-2 x<5. x>13. x<-2. x>5​

Answers

Answer:

1. x > 13

2. x < -2

3. x < 5

Step-by-step explanation:

2x - 3 > 23

→Add 3 to both sides:

2x > 26

→Divide both sides by 2:

x > 13

2x - 3 > 3x - 1

→Subtract 2x from both sides:

-3 > x - 1

→Add 1 to both sides:

-2 > x

5x - 4 < 21

→Add 4 to both sides:

5x < 25

→Divide both sides by 5:

x < 5

The Air conditioner unit in the classroom uses 120 volts. it requires 2000 watts of usage on the average, and it stays on for 8 hours every day. Find out the Amps, Watt hrs/Day, Watts hrs/yr, Kilowatt Hrs/Yr and cost/Yr if the cost of elelctricity per kilowatt is $0.25

Answers

Step-by-step explanation:

P = IV

2000 W = I (120 V)

I = 16.7 A

P = E/t

P = (2000 W × 8 hr) / (1 day)

P = 16,000 W·hr/day

P = 16000 W·hr/day × (365 day / yr)

P = 5,840,000 W·hr/yr

P = 5,840,000 W·hr/yr × (1 kW / 1000 W)

P = 5840 kW·hr/yr

C = 5840 kW·hr/yr × (0.25 $/kW/hr)

C = $1460/yr

Number 2 and 3 please help me please I really need help I need help

Answers

Answer:2) 20cm

             3) 90m

Step-by-step explanation: 2) 10x2=20cm

                                             3) 35x2=70, 20x2=20, 70+20= 90m

                                                 

Solve the system by substitution.
9y = x
- 4x + y = –35

Answers

Answer: The answer is 7x.

Step-by-step explanation:

Answer:

The answer is x=9 and y=1

Step-by-step explanation:

First, you have to substitute x from -4x to 9y which is -4(9y).

That would equal -36y.

Then the second equation would look like this:

-36y + y = -35

Then simplify. If you add -36y and y, it would equal -35y.

-35y = -35

Divide -35 on each side.

y = 1

To find the x value, you have to plug 1 into the first equation. (It doesn't matter which equation you plug into).

So if you plug it into the first equation it would look like this:

9(1) = x

9 = x

the points 4, 8 and 0, 0 fall on a particular line what is its equation in slope intercept form​

Answers

Answer:

Y=2x

Step-by-step explanation:

Slope is represented by rise/run

Here if is 8/4 = 2

The intercept is 0 since (0,0) lies on the line

So the slope intercept form is

y = 2x

Answer:

y=2x

Step-by-step explanation:

intercept is 0 as one point is (0,0)

Slope is 2 as 8/4= 2

function is then:

y=2x

How long the altitude of an equilateral triangle with side length 10cm​

Answers

Equilateral triangles have 3 sides of the same length, so if you split it down the middle, you will end up with one side length of 10cm and another with 5cm. Pythagorus can be used to find the missing side length, because the line of symmetry creates a right angle.

a^2 + b^2 = c^2

5^2 + b^2 = 10^2       (substitute given values in, remember the longest side, or the side opposite the right angle is c)

25 + b^2 = 100          (simplify)

b^2 = 75

b =  8.6603

Check answer

5^2 + 8.6603^2 = 10^2

25 + 75 = 100

2.9×10⁵×7.2×10²÷5×10^-8

Answers

Answer:

4.176  × 10¹⁵

Step-by-step explanation:

2.9×10⁵×7.2×10²÷5×10^-8=

2.9×7.2×10⁷×10⁸ / 5=

4.176  × 10¹⁵

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

economy class = 260

business class = 100.

Step-by-step explanation:

for every 13 economy seats, there are 5 business class seats

EC = 13

BC = 5

ADD  to get total = 18

divide 360 by 18 to get the number of groups created.

you get 20.

multiply 20 by each class seats

13 by 20 = 260

5 by 20 = 100

you can confirm by adding the seats to see if you will get 360.

Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).

Answers

Answer:

-3

Step-by-step explanation:

[tex]f(0)=0^2=0 \\\\g(0)=0-3=-3[/tex]

Hope this helps!

x^2+1/x^2=18 find x-1/x

Answers

Notice that

[tex]\left(x-\dfrac1x\right)^2=x^2-2+\dfrac1{x^2}=18-2=16[/tex]

which tells us

[tex]x-\dfrac1x=\pm4[/tex]

PLZZZ DO THE PROBLEM THAT HAS THE ORANGE RECTANGLE PLZZZZZZZZZZZ!!!!!!
I WILL GIVE BRAINLIEST AND 10 MORE POINTS!!!!!

Answers

Answer:

8 units = L

Step-by-step explanation:

The area of a rectangle is the product of length and width.

A = L*W

If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L

56= l * w

56= l* 7

8= l



The length is 8 and we can check this doing 8*7 which is 56.

What is the slope of the function

Answers

Answer:

The slope of any equation that is in the form of y = mx + c is the m

Step-by-step explanation:

If you want to know a certain slope. Please provide the equation

[tex]y=mx+b[/tex]

[tex]m[/tex] is the slope.

[tex]m=y_{2} -y_{2}/x_{2}-x_{1}[/tex]

The table says:

[tex]x : -4 , -2 , 0 , 2 , 4\\ y : -16 , -6 , 4 , 14 , 24[/tex]

[tex]m=-6 --16/-2--4[/tex]

[tex]m=10/2[/tex]

[tex]m=5[/tex]


how do I find the x ​

Answers

Answer:

1/2(6)(2 + x) = 27

3(2 + x) = 27

6 + 3x = 27

6 - 6 + 3x = 27 - 6

3x = 21

3x / 3 = 21 / 3

x = 7

Step-by-step explanation:

Answer:

7 m.

Step-by-step explanation:

Use the formula A = a + b/2 · h

b = 2·A/h - a

b = 2 · 27/6 - 2

b = 7

I need a real world example of a relation that is a function.

Answers

Answer:

Domain: the set of “Pregant Sheep”

Range: the set of “Lambs Born”

Exaplain why your Relation is a Function.

“The reason it‘s a function is the fact that there is two parents (if you include the dad) and you can have one to three lambs born.  

Step-by-step explanation:

We want to write a real-world example of a relation that is a function.

First, let's describe what a function is.

A function is a relationship that maps elements from a set, the domain, into elements from another set, the range.

Such that each element in the domain can be mapped into only one element in the range.

So for example, if for a given item we have 2 different prices, like:

f( bar of soap) = $10f(bar of soap) = $5.

this is not a function, because the input "bar of soap" is being mapped into two different elements of the range.

Now that we know what a function is, we can create a real-world example.

Let's create a really simple one, let's say that in your local store they sell each bar of soap for $2.

Then, if you buy x of these, the cost will be x times $2, or:

$2*x

Then we can create a function, the cost function, that models the cost of buying x bars of soap at your local store, it is:

c(x) = $2*x

This is a function that models a "real-world" problem.

If you want to learn more, you can read:

https://brainly.com/question/183587

Brainliest question please help me please

Answers

9514 1404 393

Answer:

  34.44

Step-by-step explanation:

The distance formula can help you find the lengths of the diagonal sides.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85

  OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5

The length of NG is 3 -(-3) = 6.

The perimeter is the sum of the side lengths:

  P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85

  P ≈ 34.43909 ≈ 34.44 . . . units

An expression is given: x(-1.8-6y) Use the distributive property to expand the expression.

Answers

Answer:

-1.8x-6xy

Step-by-step explanation:

The distributive property is one of the properties of real numbers

Mathematically, we can have it expressed as follows;

a •(b+ c) = a•b + a•c

Thus, applying this to the problem at hand, we have;

x(-1.8-6y) = x •(-1.8) - x•(6y)

Opening the brackets we have;

-1.8x-6xy

help meh fvghdbskjwdjcbhfvdcbjskalm

Answers

Answer:

D

Step-by-step explanation:

Proportional relationships go through the origin on the graph so we can eliminate A and B. Also the x and y coordinates have the same ratio so the answer is D because 2:3 = 4:6 = 8:12 = 12:18.

I NEED HELP PRONTO!!!!!!!

Answers

Answer:

n = 5  or  n = -5

Step-by-step explanation:

Absolute value means take the non negative value

|n| = 5

n = 5   n = -5

Answer:

5

Step-by-step explanation:

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